阅读说明：本技术 振动梁加速度计 (Vibrating beam accelerometer ) 是由 约翰·施特雷洛 米歇尔·诺瓦克 于 2019-05-27 设计创作，主要内容包括：本发明题为“振动梁加速度计”。本公开提供了一种限定纵向轴线的谐振器,该谐振器包括：安装垫；垫连接器；至少一个隔离机构；以及一对细长尖齿,该一对细长尖齿在纵向轴线的方向上延伸。隔离机构包括：外部块,该外部块限定在相对侧上的第一外端和第二外端；内部块,该内部块限定在相对侧上的第一内端和第二内端；以及一对互连构件,其中一对互连构件中的每个相应的互连构件将第二外端连接到第一内端。一对细长尖齿的相应的第一端连接到第二内端,并且垫连接器将安装垫连接到第一外端。(The invention provides a vibrating beam accelerometer. The present disclosure provides a resonator defining a longitudinal axis, the resonator comprising: a mounting mat; a pad connector; at least one isolation mechanism; and a pair of elongated tines extending in the direction of the longitudinal axis. The isolation mechanism includes: an outer block defining first and second outer ends on opposite sides; an inner block defining first and second inner ends on opposite sides; and a pair of interconnecting members, wherein each respective interconnecting member of the pair of interconnecting members connects the second outer end to the first inner end. Respective first ends of a pair of elongated tines are connected to the second inner end, and a pad connector connects the mounting pad to the first outer end.)

1. A resonator defining a longitudinal axis, the resonator comprising:

a mounting mat;

a pad connector;

an isolation mechanism, the isolation mechanism comprising:

an outer block defining first and second outer ends on opposite sides;

an inner block defining first and second inner ends on opposite sides; and

a pair of interconnecting members, wherein each respective interconnecting member of the pair of interconnecting members connects the second outer end to the first inner end; and

a pair of elongated tines extending in the direction of the longitudinal axis, wherein respective first ends of the pair of elongated tines are connected to the second inner end, wherein the pad connector connects the mounting pad to the first outer end.

2. The resonator of claim 1, wherein the pair of interconnecting members are separated by a first distance measured perpendicular to the longitudinal axis, wherein the pair of elongated tines are separated by a second distance measured perpendicular to the longitudinal axis, and wherein the first distance is equal to or less than the second distance.

3. The resonator of claim 2, wherein the first distance is less than the second distance.

4. The resonator of claim 1, wherein the pair of elongated tines are spaced apart such that the pair of elongated tines bisects a centerline of the resonator.

5. The resonator of claim 4, wherein the pair of interconnecting members are spaced apart such that the pair of interconnecting members bisects the centerline of the resonator.

6. The resonator of claim 5, wherein the pad connector is centrally located on the centerline of the resonator.

7. The resonator of claim 1, wherein each elongated tine of the pair of elongated tines includes at least one drive element.

8. The resonator of claim 1, wherein the resonator comprises part of a proof mass assembly, the proof mass assembly further comprising:

a proof mass;

inspecting the carrier; and

at least one flexure connecting the proof mass to the test carrier,

wherein the first mounting pad of the resonator is bonded to a surface of the proof mass or a surface of the proof carrier.

Technical Field

The present disclosure relates to vibrating beam accelerometers, also known as resonant beam accelerometers.

Background

Accelerometers function by detecting the displacement of a proof mass under inertial forces. One technique to detect forces and accelerations is to measure the displacement of the mass relative to the frame. Another technique is to measure the strain induced in the resonator to which the proof mass is attached when the resonator cancels out the inertial force of the proof mass. When the accelerometer is subjected to an external force, the strain may be determined, for example, by measuring the change in frequency of the resonator.

Disclosure of Invention

In some examples, the present disclosure describes a Vibrating Beam Accelerometer (VBA) in which the resonator has a segmented isolation block between the mounting pad and the resonant tines that can reduce axial strain or end pumping on the mounting pad due to the resonance of the tines, resulting in an accelerometer with improved accuracy and precision and lower measurement error.

In some examples, the present disclosure describes a resonator defining a longitudinal axis, the resonator comprising: a mounting mat; a pad connector; an isolation mechanism, the isolation mechanism comprising: an outer block defining first and second outer ends on opposite sides; an inner block defining first and second inner ends on opposite sides; and a pair of interconnecting members, wherein each respective interconnecting member of the pair of interconnecting members connects the second outer end to the first inner end; and a pair of elongated tines extending in a direction of the longitudinal axis, wherein respective first ends of the pair of elongated tines are connected to the second inner end, wherein a pad connector connects the mounting pad to the first outer end.

In some examples, the present disclosure describes a proof mass assembly comprising: a resonator defining a longitudinal axis; a proof mass; inspecting the carrier; and at least one flexure connecting the proof mass to the proof carrier. The resonator includes: a first mounting pad; a pad connector; an isolation mechanism; and a pair of elongated tines extending in a direction of the longitudinal axis of the first resonator. The isolation mechanism includes: an outer block defining first and second outer ends on opposite sides; an inner block defining first and second inner ends on opposite sides; and a pair of interconnecting members, wherein each respective interconnecting member of the pair of interconnecting members connects the second outer end to the first inner end. Respective first ends of a pair of elongated tines are connected to the second inner end, and a pad connector connects the first mounting pad to the first outer end. The first mounting pad of the resonator is bonded to a surface of the proof mass or a surface of the proof carrier.

In some examples, the present disclosure describes a resonator defining a longitudinal axis, the resonator comprising: first and second mounting pads; a first pad connector and a second pad connector; a first isolation mechanism and a second isolation mechanism; and a pair of elongated tines extending in the direction of the longitudinal axis. Each respective isolation mechanism comprises: an outer block defining first and second outer ends on opposite sides; an inner block defining first and second inner ends on opposite sides; and a pair of interconnecting members, wherein each respective interconnecting member of the pair of interconnecting members connects the second outer end to the first inner end. The respective first ends of the pair of elongated tines are connected to the second inner end of the first isolation mechanism and the respective second ends of the pair of elongated tines are connected to the second inner end of the second isolation mechanism, wherein the first pad connector connects the first mounting pad to the first outer end of the first isolation mechanism, and wherein the second pad connector connects the second mounting pad to the first outer end of the second isolation mechanism.

The details of one or more examples are set forth in the accompanying drawings and the description below. Other features, objects, and advantages will be apparent from the description and drawings, and from the claims.

Drawings

FIG. 1A is a conceptual diagram illustrating a top view of an exemplary proof mass assembly.

FIG. 1B is a conceptual diagram illustrating a cross-sectional side view of the exemplary proof mass assembly of FIG. 1A along line AA-AA.

FIG. 2 is a schematic diagram of an exemplary resonator that may be used with the proof mass assembly of FIG. 1A.

FIG. 3 is an enlarged schematic view of an exemplary isolation mechanism of the resonator of FIG. 2 in a quiescent state.

FIG. 4 is an enlarged schematic view of an exemplary isolation mechanism of the resonator of FIG. 2 in a resonant state.

FIG. 5 is an enlarged schematic view of another exemplary resonator that may be used with the proof mass assembly of FIG. 1A.

Detailed Description

Navigation, guidance, and positioning systems rely on the accuracy of accelerometers to perform critical operations in various environments. One type of accelerometer is a precision microelectromechanical system (MEMS) Vibrating Beam Accelerometer (VBA) that utilizes a pair of resonators and measures changes in vibration frequency between the resonators to sense changes in orientation and/or acceleration. Such VBAs have several advantages over conventional accelerometer designs, such as lower manufacturing costs, smaller size, ability to withstand extreme environments, and performance stability.

To sense changes in orientation and/or acceleration, two resonators may be attached to opposite sides of the proof mass in a push-pull configuration. Each resonator may comprise a pair of elongate beams or tines, and each resonator may vibrate at different frequencies depending on the axial strain within the respective tine. Drive and sense functions may be incorporated into the features of the resonators to maintain the vibration of the elongated tines in a substantially asymmetric mode, with the differential frequency between the two resonators representing the sensed acceleration.

The movement of parallel elongated beams or tines within a single resonator may be designed to balance laterally (e.g., perpendicular to the longitudinal axis of the elongated tines). However, as described further below, movement of the parallel elongated beams or tines may impose an unexpected axial strain on the mounting pads (e.g., a strain in a direction parallel to the longitudinal axis of the elongated tines), resulting in measurement errors. In some examples, the present disclosure describes structures of resonators that include multiple sets of isolation mechanisms that may help reduce or eliminate axial strain resulting from movement of the elongated beam or tines, resulting in improved measurement accuracy.

FIGS. 1A and 1B are conceptual diagrams illustrating a top view (FIG. 1A) and a cross-sectional side view (FIG. 1B, taken along line AA-AA of FIG. 1A) of an exemplary proof mass assembly 10 including a proof mass 12 connected to a test carrier 14 by flexures 16a and 16B. Proof mass assembly 10 also includes at least two resonators 20a and 20b that bridge a gap 21 between proof mass 12 and proof carrier 14. Resonators 20a and 20b each have opposite ends mounted to respective surfaces of proof mass 12 and proof carrier 14, respectively. The proof mass block assembly 10 may be a proof mass block assembly of the VBA. Also, the resonators 20a and 20b may be used with VBA or other devices incorporating the resonators 20a and 20b and may benefit from the design features of the resonators 20a and 20b described herein. In some examples, the proof mass assembly 10 may be an out-of-plane proof mass assembly (as shown in fig. 1A and 1B) or an in-plane proof mass assembly.

The VBA operates by monitoring the differential change in frequency between the resonators 20a and 20 b. Each of the resonators 20a and 20B (also referred to as Double Ended Tuning Forks (DETFs)) will vibrate at a particular frequency depending on the axial strain (e.g., compression or tension applied in the y-axis direction of fig. 1A and 1B) applied on the respective resonator 20a or 20B. During operation, the proof carrier 14 may be mounted, directly or indirectly, to an object 18 (e.g., an aircraft, missile, orientation module, etc.) that undergoes acceleration or angular change such that the proof mass 12 undergoes inertial displacement in a direction perpendicular to the plane defined by the flexures 16a and 16B (e.g., in the direction of arrow 22 or in the direction of the z-axis of FIG. 1B). Deflection of proof mass 12 involves causing axial tension on one of resonators 20a and 20b and axial compression on the other, depending on the direction of force or change in direction. The different relative strains on the resonators 20a and 20b change the respective vibration frequencies of the elongated tines of the resonators 20a and 20 b. By measuring these changes, the direction and magnitude of the force exerted on the object 18 can be measured, thereby measuring acceleration or orientation.

Proof mass assembly 10 may include additional components for inducing oscillation frequencies on resonators 20a and 20B, such as one or more electrical traces, piezoelectric drivers, electrodes, etc., or other components that may be used with the final configuration of the accelerometer, such as stators, permanent magnets, capacitive sense plates, damping plates, force rebalancing coils, etc., none of which are shown in fig. 1A and 1B. Such components are known and may be incorporated on the proof mass assembly 10 or the final accelerometer (e.g., VBA) by one of ordinary skill in the art.

As shown in fig. 1A, test carrier 14 may be a planar ring-shaped structure that substantially surrounds proof mass 12 and substantially maintains flexures 16a and 16B and proof mass 12 in a common plane (e.g., the x-y plane of fig. 1A and 1B). Although the test carrier shown in FIG. 1A is circular in shape, it is contemplated that test carrier 14 may be any shape (e.g., square, rectangular, oval, etc.) and may or may not enclose proof mass 12.

Any suitable material may be used to form proof mass 12, proof carrier 14, resonators 20a and 20b, and flexures 16. In some examples, proof mass 12, proof carrier 14, resonators 20a and 20b, and flexures 16 may be made of a silicon-based material, such as quartz (SiO)₂) Piezoelectric material, berlin's stone (AlPO)₄) Gallium orthophosphate (GaPO)₄) Thermaline, barium titanate (BaTiO)₃) Lead zirconate titanate (PZT), zinc oxide (ZnO), aluminum nitride (AlN), metal alloys such as nickel-chromium alloys (e.g., inconel), and the like. In some examples, the same materials may be used to form proof mass 12, proof carrier 14, resonators 20a and 20b, and flexures 16.

Fig. 2 is an enlarged schematic view of an exemplary resonator 30 (e.g., one of the resonators 20a and 20b) including first and second mounting pads 32a and 32b positioned at opposite ends of the resonator 30. The resonator 30 also includes a set of vibrating elongated beams or tines (referred to herein as " elongated tines 34a and 34 b") that extend parallel to each other along a longitudinal axis 36. Positioned between the elongated tines 34a and 34b and the respective first and second mounting pads 32a and 32b is an isolation mechanism 38a and 38 b. Each isolation mechanism 38a and 38b may include an inner block 40a and 40b and an outer block 42a and 42 b. Each respective inner block 40a and 40b and outer block 42a and 42b may be connected by a pair of interconnecting members 44a and 44 b. Each inner block 40a and 40b is directly attached to the respective ends of the two elongated tines 34a and 34 b. The outer blocks 42a and 42b are connected to the first and second mounting pads 32a and 32b by pad connectors 46a and 46b, respectively. For example, referring to isolation mechanism 38a, inner block 40a and outer block 42a are connected by a pair of interconnecting members 44 a. The outer block 42a is connected to the first mounting pad 32a via a pad connector 46a, and the inner block 40a is connected to respective first ends of the two elongated tines 34a and 34 b. As mentioned above, the resonator 30 may be referred to as DETF. In some examples, the resonator 30 may be located in a single plane (e.g., the x-y plane as shown in fig. 2).

First and second mounting pads 32a, 32b of resonator 30 may be secured to a proof mass (e.g., proof mass 12 of FIG. 1A) or a proof carrier (e.g., proof carrier 14 of FIG. 1A), respectively, using any suitable technique. In some examples, first and second mounting pads 32a, 32b may be secured to respective proof masses or proof carriers using a bonding adhesive such as epoxy, using soldering, brazing, or welding, or other suitable bonding mechanism. In some examples, first and second mounting pads 32a, 32b may be the only portions of resonator 30 that are mechanically coupled to the device in which resonator 30 is mounted (e.g., proof mass 12 or proof carrier 14), thereby allowing the remainder of resonator 30 to float freely.

Additional details regarding the geometry and arrangement of isolation mechanisms 38a and 38b are discussed in further detail below with reference to fig. 3 and 4. While the following details are discussed with respect to isolation mechanism 38a, such details may be equally applicable to the components and arrangement of isolation mechanism 38 b. In some examples, isolation mechanisms 38a and 38b may be substantially identical (e.g., identical or nearly identical), or may be mirror images of each other. In other examples, the resonator 30 may include only one of the isolation mechanisms 38a and 38 b. While the following details are discussed with respect to a single resonator 30, two resonators (e.g., resonators 20a and 20b of proof mass assembly 10) incorporated in the proof mass assembly may include one or more isolation mechanisms 38 as described herein.

Fig. 3 is an enlarged schematic view of the isolation mechanism 38a of the resonator 30 of fig. 2 in a quiescent state (e.g., non-resonant). As shown in fig. 3, a first mounting pad 32a is connected to a first end 48a of outer block 42a in conjunction with a connector 46 a. The bonding connector 46a may be an elongated thin strip of material that acts as a bridge between the outer block 42a and the first mounting pad 32a to isolate the two components from each other. In some examples, the bond connector 46a may be the only component of the resonator 30 that physically connects the outer block 42a and the first mounting pad 32 a. It should be understood that additional components associated with the drive and sense mechanisms (such as electrical traces) may be formed along portions of isolation mechanism 38a, including, for example, in conjunction with connector 46a, not shown or described herein.

In some examples, the binding connector 46a can be aligned and centered on the longitudinal axis 36, the longitudinal axis 36 defining a centerline between the elongated tines 34a and 34 b. In this way, the lateral movement (e.g., movement in the x-axis direction of fig. 3) of the elongated tines 34a and 34b can be effectively balanced, resulting in insignificant lateral strain on the bonded connector 46a during operation. The width and length of the coupling connector 46a (e.g., as measured in the x-axis and y-axis directions of fig. 3, respectively) may have any suitable dimensions. In some examples, the relative width (e.g., distance in the x-axis direction) of the bonding connector 46a can be greater than the relative width (e.g., distance in the x-axis direction) of the respective elongated tine 34a, such as about twice the width of the elongated tine 34 a.

The outer mass 42a is connected along a first end 48a to the coupling connector 46a and along a second end 48b to the pair of interconnecting members 44 a. The first end 48a and the second end 48b can define opposite sides of the outer block 42a, with the first end 48a being closer to the first mounting pad 32a and the second end 48b being closer to the elongated tines 34a and 34 b. The outer block 42a may extend transversely along an outer block axis 50 (e.g., perpendicular to the longitudinal axis 36). The outer mass axis 50 may be substantially perpendicular (e.g., perpendicular or nearly perpendicular) to the longitudinal axis 36 when the resonator is in a quiescent state. In some examples, the outer block 42a may be rectangular in shape defining a width and length of any suitable size (e.g., as measured in the x-axis and y-axis directions of fig. 3, respectively). In some examples, the relative length of the outer piece 42a (e.g., as measured on the y-axis of fig. 3) may be about 1/3 to about 1/2 of the dimension of the relative width of the outer piece 42a (e.g., as measured on the x-axis of fig. 3). Additionally or alternatively, the relative length of the outer block 42a can be greater than the relative width of the respective elongated tine 34a (e.g., as measured on the x-axis of fig. 3) and about five times less than the relative width of the respective elongated tine 34 a. In some examples, the relative length of the outer block 42a can be about three to about five times the width of the respective elongate tine 34 a. In some examples, the width of the outer mass 42a (e.g., as measured on the x-axis of fig. 3) may be longer than the outside width of the interconnecting members 44a (e.g., as measured from the outside of the first interconnecting member 44a to the outside of the second interconnecting member 44a in the x-axis direction) and about equal to or less than the width of the inner mass 40 a.

A pair of interconnecting members 44a connect the second end 48b of the outer block 42a to the first end 52a of the inner block 40 a. Each interconnecting member of the pair of interconnecting members 44a may be an elongated thin strip of material that acts as a bridge between the outer and inner masses 42a, 40a to physically isolate the two masses from each other. In some examples, the pair of interconnecting members 44a may be the only components of the resonator 30 (e.g., excluding any additional electrical traces or other components deposited thereon) that physically connect the outer and inner masses 42a, 40 a. In some examples, the pair of interconnecting members 44a may be aligned substantially parallel (e.g., parallel or nearly parallel) to the longitudinal axis 36, but separated by a spacing distance (e.g., distance W1 as measured between the central axes 54 of the interconnecting members 44 a) that bisects the centerline (e.g., the longitudinal axis 36) of the resonator 30. In some examples, the spacing distance (e.g., distance W1) between the pair of interconnecting members 44a can be equal to or less than the spacing distance between the elongated tines 34a and 34b (e.g., distance W2 as measured between the central axes 58 of the elongated tines 34a and 34 b). In other examples, such as where the resonator 30 includes only a single isolation mechanism 38a, the spacing distance (e.g., distance W1) between the pair of interconnecting members 44a may be equal to, less than, or greater than the spacing distance (e.g., distance W2) between the elongated tines 34a and 34 b. As described further below, the ratio of W1: W2 may be selected to eliminate end pumping that occurs due to bowing of the inner mass 40a and the outer mass 42 a.

The width and length (e.g., as measured in the x-axis and y-axis directions of fig. 3, respectively) of each interconnecting member may have any suitable dimensions. In some examples, the relative width of the respective interconnecting member 44a (e.g., as measured in the x-axis of fig. 3) can be substantially equal (e.g., equal or nearly equal) to the relative width of the respective elongate tine 34a, or can be greater (e.g., up to about twice) the relative width of the respective elongate tine 34 a. The relative lengths of the respective interconnecting members 44a may define a spacing distance between the inner and outer blocks 40a, 42 b. In some examples, the relative length of the respective interconnecting member 44a may be equal to the respective relative width, or may be greater than the respective relative width.

Each interconnecting member of the pair of interconnecting members 44a may define a central axis 54 extending along its length (e.g., in the y-axis direction of fig. 3). For reasons described further below, in some examples, the central shaft 54 can be aligned substantially parallel (e.g., parallel or nearly parallel) to and centered about the respective axes of the elongated tines 34a and 34b, or the central shaft 54 can be aligned substantially parallel (e.g., parallel or nearly parallel) to the respective axes of the elongated tines 34a and 34b but can be off-center such that the pair of interconnecting members 44a are positioned closer to the centerline (e.g., the longitudinal axis 36) of the resonator 30 than the elongated tines 34a and 34 b. Fig. 3 shows the latter configuration.

The inner block 40a is attached along a first end 52a to the interconnecting member 44a and along a second end 52b to the respective first ends of the elongated tines 34a and 34 b. The first end 52a and the second end 52b can define opposite sides of the inner block 40a, with the first end 52a being closer to the first mounting pad 32a and the second end 52b being closer to the elongated tines 34a and 34 b. The inner block 40a may extend laterally along an inner block axis 56 (e.g., perpendicular to the longitudinal axis 36). The inner mass axis 56 may be substantially perpendicular (e.g., perpendicular or nearly perpendicular) to the longitudinal axis 36 when the resonator is in a resting state.

In some examples, the inner block 40a may be rectangular in shape defining a width and length of any suitable size (e.g., as measured in the x-axis and y-axis directions of fig. 3, respectively). In some examples, the relative length of the inner mass 40a (e.g., as measured on the y-axis of fig. 3) may be about 1/3 to about 1/2 of the dimension of the relative width of the inner mass 40a (e.g., as measured on the y-axis of fig. 3). Additionally or alternatively, the relative length of the inner block 40a can be greater than the relative width of the respective elongated tine 34a (e.g., as measured on the x-axis of fig. 3) and about five times less than the relative width of the respective elongated tine 34 a. In some examples, the inner block 40a and the outer block 42a may be substantially the same (e.g., the same or nearly the same) size, while in other examples, the inner block 40a and the outer block 42a may be different sizes. For example, the relative width of the outer block 42a may be less than the relative width of the inner block 40 a.

The elongated tines 34a and 34b can each extend parallel to the longitudinal axis 36 from the second end 52b of the inner block 40a to the respective second end of the inner block 40 b. The central axes 58 of the elongated tines 34a and 34b can be separated by a spacing distance (e.g., the distance W2 between the central axes 58 of the elongated tines 34a and 34 b) as measured perpendicular to the longitudinal axis 36, wherein the elongated tines 34a and 34b bisect the centerline (e.g., the longitudinal axis 36) of the resonator 30. In some examples, the spacing distance (e.g., distance W2) between the elongated tines 34a and 34b can be greater than the spacing distance (e.g., distance W1) between the pair of interconnecting members 44a for reasons discussed further below with reference to fig. 4, or in some examples, can be equal to or less than the spacing distance (e.g., distance W1). In some examples, the relative spacing distance (e.g., distance W2) may be less than about 1/5 of the total length of the elongated tines 34a and 34b, and may be about twice the width of the respective elongated tine 34 a.

The vibration drive and sensing functions of the resonator 30 can be implemented in a variety of ways including, for example, using electrostatic comb drive elements, variable gap parallel plate capacitor drive elements, piezoelectric drive elements, and the like. When electrostatic combs are used, as well as other drive and sense mechanisms, the elongated tines 34a and 34b typically need to be separated by a sufficient distance (e.g., a separation distance of at least about 5 to about 10 times the width of the respective elongated tines 34a (e.g., distance W2)) to accommodate placement of a sensing and/or drive element (e.g., electrostatic comb 76 shown in fig. 5) between the elongated tines 34a and 34 b. While having a larger spacing distance (e.g., distance W2) between the elongated tines 34a and 34b can be useful in avoiding some undesirable vibration modes that can occur when the elongated tines 34a and 34b are closely spaced and the truss system is used to connect the drive and sense features, placing the elongated tines 34a and 34b at the larger spacing distance W2 from each other can result in some inaccuracy, such as increased longitudinal strain on the mounting pads 32a and 32 b. One such longitudinal strain is known as "end pumping". End pumping occurs due to longitudinal strain (e.g., in the direction of the longitudinal axis 36) exerted on the mounting pads 32a and 32b and pad connectors 46a and 46b due to opposing bending moments from the elongated tines 34a and 34 b. For example, when the elongated tines 34a and 34b bow outward, a restraining moment can be created on the surface 52b of the inner block 40a at the ends of the elongated tines 34a and 34 b. These moments will cause the inner block 40a to bend, as shown in fig. 4, which in turn may create a pulling force on the pad connector 46a and the mounting pad 32 a.

As the elongated tines 34a and 34b oscillate between the deflected position and the zero position, the tension on the mounting pads 32a and 32b will oscillate creating a pumping effect. End pumping may result in cross-coupling between the elongated tines 34a and 34b, which reduces the accuracy of the accelerometer.

The inclusion of the isolation mechanisms 38a and 38b can help reduce the effects of end pumping by providing a better strain system balance between the elongated tines 34a and 34b and the mounting pads 32a and 32 b. Fig. 4 is an enlarged schematic view of the isolation mechanism 38a of the resonator 30 of fig. 2 in a resonant state. As shown in fig. 4, the two elongated tines 34a and 34b are resonating and are shown at a point in time during their oscillation when the two tines are flexed away from each other in the direction of the x-axis of fig. 3 to increase the separation distance between the tines. This movement causes the inner mass 40a to deflect along the inner mass axis 56 in the negative y-axis direction (e.g., bow away from the mounting pad 32 a). Without isolation mechanism 38a, deflection of inner block 40a would be transferred to pad connector 46a to pull mounting pad 32a in the negative y-axis direction, creating additional longitudinal strain independent of the deflection of the proof mass.

The isolation mechanism 38a creates a balancing strain by creating opposing deflections in the outer block 42a via the interconnecting members 44a and 44b to establish opposing thrusts on the pad connector 46 a. For example, when the inner mass 40a deflects or bows in the negative y-axis direction along the inner mass axis 56, the interconnecting members 44a and 44b will be forced together and rotate. The displacement and rotation of the interconnecting members 44a and 44b will in turn force the outer mass 42a to deflect or bow the outer mass 42a in the positive y-axis direction along the outer mass axis 50. The opposing deflections of the inner block 40a and the outer block 42a may be counterbalanced with each other by adjusting the distance W1 between the interconnecting members 44a and 44b relative to the distance W2 between the tines to reduce or eliminate the end pumping effect generated on the pad connector 46a and the mounting pad 32 a. In some examples, the amount of deflection observed in the inner block 40a and the outer block 42a may be different or asymmetric. In some examples, geometric modeling (e.g., using finite element analysis software such as ANSYS or ABAQUS) may be used to select the relative sizes, positioning, and placement of the various components of the isolation mechanisms 38a and 38 b.

Fig. 5 is an enlarged schematic view of another exemplary resonator 70 (e.g., one of the resonators 20a and 20b) including first and second mounting pads 32a and 32b positioned at opposite ends of the resonator 70. The resonator 70 also includes a set of elongated tines 74a and 74b that extend parallel to each other along the longitudinal axis 72 or the resonator 70. Positioned between the elongated tines 74a and 74b and the respective first and second mounting pads 32a and 32b are isolation mechanisms 38a and 38b, each having one end attached to the elongated tines 74a and 74b and an opposite end attached to the first and second mounting pads 32a and 32b by pad connectors 46a and 46 b. The isolation mechanisms 38a and 38b, the first and second mounting pads 32a and 32b, and the pad connectors 46a and 46b may be substantially identical (e.g., identical or nearly identical) to the corresponding components described above with respect to the resonator 30, with any differences described below.

As shown in fig. 5, each of the elongated tines 74a and 74b can include one or more drive elements 76 in the form of an electrostatic comb. In other examples, other drive elements may be used, such as variable gap parallel plate capacitor drive elements, piezoelectric drive elements, and the like. An electrostatic comb drive element 76 can be used to drive and provide a vibratory motion to the elongated tines 74a and 74 b. In some examples, the proof mass (e.g., proof mass 12) to which resonators 70 are attached may include a plurality of drive elements (not shown) that may be used to electrostatically move electrostatic comb drive elements 76. In some designs, for example, the drive element may include a plurality of interdigitated fixed or anchored comb fingers (not shown) sandwiched within a corresponding plurality of comb fingers 78 attached to the electrostatic comb drive element 76. The spacing between the fixed or anchored comb fingers and comb fingers 78 is a relatively small gap (e.g., about 1 μm to about 2 μm). During operation, a charge can be applied to the comb fingers to induce an electrostatic charge between the interleaved comb fingers that will create a pulling force to increase the relative engagement or overlap between the interleaved comb fingers to convert electrical energy into mechanical energy, thereby providing a driving method for vibrating the elongated tines 74a and 74b laterally.

In other examples, each of the elongated tines 74a and 74b can include an electrostatic comb drive element other than those shown in fig. 5. For example, in some examples, each of the elongated tines 74a and 74b can include a plurality of comb fingers 78 extending laterally from one or both sides of the respective elongated tine 74a or 74 b. In other examples, each of the elongated tines 74a and 74b can include a drive mechanism other than an electrostatic comb drive element.

Various examples have been described. These examples and other examples are within the scope of the following claims.