This application claims priority to French Patent Application No. 2210219, filed Oct. 5, 2022, the entire content of which is incorporated herein by reference in its entirety.
The technical field of the invention is that of micro-electro-mechanical systems (MEMS). The invention relates in particular to such a device used as an inertial sensor, and comprising a proof mass which can pivot relative to a frame or support under the effect of the forces it undergoes.
Different types of micro-electro-mechanical gyrometers have been developed in recent years, in particular “out-of-plane” movement gyrometers, such as the one schematically represented in
Most of this substrate forms a thick layer that serves as a support 2aa. The gyrometer 1aa comprises two movable frames 3aa and 3aa′, parallel to the support and each guided for displacement with respect to this support 2aa, along an axis X which is parallel to the support 2aa (parallel to the substrate), and perpendicular to the rotation angular velocity measurement axis, Y. During operation of the gyrometer, the two frames are moved, for example by electrostatic actuation by means of interdigital combs (not represented), so as to oscillate parallel to the axis X, in phase opposition to each other (symmetrically). The two frames then move at speeds of displacement opposite to each other relative to the support 2aa.
Each frame 3aa, 3aa′ drives a proof mass 4aa, 4aa′ (also called Coriolis mass) therewith, which is connected to the frame through a first link 5aa, 5aa′, allowing the proof mass to pivot about an axis of rotation Δ1, Δ1′ (link axis) parallel to the axis Y. This link is therefore partly similar to a pivot connection, or stated differently, a hinge.
Each proof mass 4aa, 4aa′ is additionally connected to a pivot detection lever common to both masses, 7aa, via a second mechanical link 9aa, 9aa′. This lever 7aa pivots about a detection axis Δ3, which is parallel to the axis Y and is fixed with respect to the support 2aa. The lever 7aa is located in the central zone of the gyrometer, between the two proof masses.
When the gyrometer 1aa rotates (i.e.: when the support 2aa rotates) relative to an inertial (Galilean) reference frame, about the axis Y, with an angular velocity {right arrow over (Ω)}=Ω{right arrow over (y)}, each mass 4aa, 4aa′ then undergoes a Coriolis force, which is expressed as {right arrow over (F)}cor=2 mcor (v{right arrow over (x)})⊇(ω{right arrow over (y)}) where mcor represents the mass of any one of these two proof masses 4aa, 4aa′ and where v is its velocity of displacement (along the axis X). This (“out-of-plane”) force is therefore directed along an axis Z perpendicular to the support 2aa, and it is of the same amplitude but in opposite directions for the two proof masses 4aa and 4aa′ (since the two masses are driven in opposite directions). For each mass, this force therefore causes an out-of-plane displacement of the mass (more precisely, a displacement of one movable end of the mass, in a direction parallel to the axis Z). This force causes the mass to pivot about its axis of rotation (the axis of the mass-frame link). This out-of-plane displacement occurs in an opposite direction for the two masses. The out-of-plane displacement of these two masses then causes the detection lever 7aa to rotate about the detection axis Δ3. This rotation of the lever is then measured, for example by means of strain gauges (piezo-resistive, piezo-electric or resonant detection) to deduce the angular velocity Ω thereof.
In a gyrometer such as this, it is known to make the second links 9aa, 9aa′ as is represented in
This half-link comprises four “beams” 92aa, 93aa, 94aa, 95aa, each forming a thin wall extending parallel to the axes Y and Z (and therefore perpendicular to the mean plane of the gyrometer). Two of these beams, 93aa and 94aa, located side by side (they occupy slightly different positions along the axis X), are each rigidly connected on one side to the lever 7aa, and on the other side to a connecting element 91aa. The other two beams 92aa and 93aa are each rigidly connected on one side to the mass 4aa, and on the other side to the connecting element 91aa. The pair of beams 94aa, 95aa is located between beam 92aa and beam 93aa. The connecting element 91aa connects only to the four beams in question, thus forming a kind of movable island.
During operation of the gyrometer, the frames and masses oscillate along the axis X, while the lever 7aa remains fixed (apart from its pivoting movement about the axis Δ3). The second links 9aa, 9aa′ should therefore allow the mass 4aa, 4aa′ to move relative to the lever 7aa along the axis X, with a very large amplitude. Indeed, the amplitude of oscillation of the frames, and therefore of the masses, along the axis X, is typically between a few microns and a few tens of microns, which is a very large displacement for a MEMS. In links 9aa, 9aa′, this large latitude of movement is delivered by flexibility of the beams, having an elongate shape along the axis Y (long length b), and not very thick in the axis X (narrow width a).
More generally, in such a gyrometer, it is desirable that the link between the proof mass and the detection lever:
When the mass pivots relative to the frame, it drives one end of the lever therewith in the direction Z, causing the lever to rotate about its axis Δ3. During this movement, it is noticed that both the mass and the lever pivot relative to each other. The second link 9aa should therefore allow, at least in part, this rotation of the mass relative to the lever, about the axis Δ2, Δ2′ of the link.
With regard to criterion c), it is noticed that the sources of elastic stiffness which oppose to the pivoting of the proof mass 4aa include: the rotational stiffness due to the first link 5aa (rotational stiffness about the axis Δ1), the rotational stiffness due to the second link 9aa (rotational stiffness about the axis Δ2), as well as the stiffness of the strain gauge(s) themselves (employed to measure rotation of the detection lever) and of the hinge associated therewith. Now, among these contributions, it is desirable to minimise stiffness that is not due to the gauges themselves, so that as much energy as possible is directed towards the gauges in order to maximise the rotation measurement signal (in terms of detection and from an energy point of view, it is desirable to avoid storing energy—in the form of elastic energy—in the mechanical links 5aa and 9aa).
The second link 9aa represented in
On the other hand, it has a fairly high stiffness towards rotation of the mass relative to the lever about the axis Δ2.
In this context, there is therefore a need for a mechanical link which at least partly meets all the above criteria a), b) and c), and which is more flexible than the link 9aa of prior art with respect to rotation of the lever relative to the mass (i.e. with respect to rotation about an axis parallel to the gyrometer detection axis, that is parallel to the axis Y).
To remedy at least in part the limitations of prior art, an aspect of the present technology then relates to a micro-electromechanical device comprising:
The extension of the first wall, perpendicularly (or virtually perpendicularly) to the mean plane of the frame, makes this wall rigid (i.e.: stiff) along the direction Z which is perpendicular to the mean plane of the frame (in the manner of a flat ruler, the plane of which would be vertical, perpendicular to the mean plane of the frame). The same applies to the second wall, so that the first and second walls together are ultimately rigid with respect to displacements parallel to the axis Z (i.e.: able to transmit forces or displacements parallel to the axis Z, with little deformation), thus fulfilling criterion a) set forth above, in the background section.
In addition to the axis Z, the figures represent an axis X parallel to the mean plane of the frame and perpendicular to the axes of rotation. In practice, the axis X corresponds to an axis of displacement of the frame, in relation to a support for the device.
The second wall mentioned above, which is somewhat transverse, is perpendicular (or virtually perpendicular) to the axis X (in any case when the mass is at rest). It thus provides the desired flexibility and amplitude of movement along the axis X (criterion b) mentioned above), by virtue of its flexural deformation capabilities, illustrated in
It also provides the second link with the desired flexibility, in terms of rotation of the mass relative to the lever about the second axis of rotation, Δ2. Indeed, as the second wall extends in parallel or virtually in parallel to the axis Δ2 (and as it is thin), it is not very rigid with respect torsional deformation about the axis Δ2, which makes it possible to fulfil criterion c) mentioned above.
In this respect, it can also be envisaged that the first wall connects to the lever while the second wall connects to the proof mass, and that the first wall is connected to the proof mass only through the second wall, so that the torsional flexibility of the second wall is not hindered by any other element. In contrast, in the link 9aa of prior art represented in
In addition, the first wall (ref. 91, in
In fact, a link that would be made only with the second wall, used for its flexural deformability, would have a highly non-linear stiffness along X. This effect is explained with reference to
In the second link in accordance with the present technology (
Correcting the non-linearity in question as far as possible is very useful in practice, as the amplitude of displacement of the proof mass relative to the lever is very large (several microns, or even several tens of microns) and would therefore lead to large amplitude non-linear effects, in the absence of correction.
It should also be noted in this respect that, in the link 9aa of prior art, the link between lever and proof mass is made by means of the connecting element 91aa which forms a kind of movable island and which, by virtue of its displacement possibilities, allows the displacement δY mentioned above, and thus enables the non-linearity in question to be corrected very effectively (the beams 92aa, 93aa, 94aa and 95aa having the same geometry and being subject to the same stresses, they all deform by δY).
In the device in accordance with the present technology, the linearity of the relationship between spring force and displacement along the axis X can be further improved by connecting one or even both ends 92, 93 of the first wall 91, to the lever (or, optionally, to the proof mass), via a relatively short connecting wall 94, 95 (shorter than the second wall), and parallel to the second wall 97. The flexural deformability of this connecting wall 94, 95 then allows the two ends 92, 93 of the first wall 91 to move towards each other when the first wall 91 is flexurally deformed (
The performance of the second link with respect to the criteria a), b) and c) listed above, and the improvement that this link brings compared with prior art, are illustrated below, in the description, by (numerical) examples obtained by numerical simulation.
In this document, by link, it is meant an element, or a set of elements guiding the movement of the proof mass in relation to the frame (i.e.: arranged to hinge the mass with the frame), or guiding the movement of the proof mass in relation to the lever (or the movement of the frame, or of the lever in relation to the support of the device).
By wall, it is meant an element delimited by two free surfaces substantially parallel to each other (parallel to better than 15 degrees) and separated by a distance smaller, and even significantly smaller, than the dimensions of these free surfaces. Stated differently, it is an element (not necessarily planar) whose surface area is significantly greater than the distance between the two free surfaces of the wall (i.e. significantly greater than the area of the element along a direction transverse to the wall).
In this document, for both the first wall and the second wall, the term “thickness” refers to the extension of the wall along the direction Z perpendicular to the layers (perpendicular to the substrate). It is thus in a way the height of the wall. The term “width” refers to the extension of the wall perpendicularly to the free surfaces of the wall (“vertical” free surfaces, parallel to Z).
Furthermore, in this document, by “virtually parallel” and “virtually perpendicular”, it is meant parallel, or respectively perpendicular, to better than 15 degrees, or even to better than 5 degrees or even 1 degree.
Further to the characteristics mentioned above, the device just set forth may include one or more of the following optional characteristics, considered individually or according to any technically contemplatable combinations:
The present technology and its different applications will be better understood upon reading the following description and upon examining the accompanying figures.
The figures are set forth by way of indicating and in no way limiting purposes.
Most of this substrate forms a thick layer that serves as a support 2.
The gyrometer 1 comprises two movable frames 3 and 3′, each guided for displacement, relative to this support 2, along an axis X which is parallel to the mean plane of the support. Each frame 3; 3′ is parallel to the support 2. Stated differently, for each frame 3, 3′, the mean plane P of the frame is parallel to the mean plane of the support 2. In the following, the orientation of different axes and walls are referred to the mean plane P of the frame 3, 3′, or, indifferently, to the mean plane of the support 2 (since these two mean planes are parallel to each other).
The axis of displacement of the frames, X, is perpendicular to the axis of measurement of the angular speed of rotation, Y. The axis of displacement of the frames, X, and the axis of measurement of the angular speed, Y, are shown in the different figures, as is an axis Z, perpendicular to the mean plane of the support (perpendicular to X and Y).
For each frame, guidance of the frame relative to the support is achieved by virtue of four springs 20, for example, disposed at four points of the frame remote from each other, each spring 20 connecting the frame to the support and allowing relative movement parallel to the axis X. In this case, the springs 20 comprise leaves working in flexion, which connect the support 2 to the frame 3, 3′ considered. The frames 3 and 3′ herein have an overall rectangular shape.
During operation of the gyrometer, the two frames are moved, for example by electrostatic actuation using interdigital combs (not represented), so that they oscillate in parallel to the axis X, in phase opposition to each other (symmetrically). The two frames then have the same speed, but their directions of movement, relative to the support 2, are opposite to each other.
The two frames 3 and 3′ are arranged opposite to each other, on either side of a fixed central portion 8 (i.e. without movement relative to the support 2) of the gyrometer. In
Each frame 3, 3′ drives a proof mass 4, 4′ (also known as a Coriolis mass) therewith, which is connected to the frame through a first link 5, 5′ which allows pivoting of the proof mass to about a first axis of rotation Δ1, Δ′1 parallel to the axis Y. This link partly resembles a pivot link or, stated differently, a hinge. The first link 5, 5′ is rigid with respect to relative displacements between the mass and the frame along the axis X (whereas the second links 9, 9′ shown below are instead flexible along the axis X). As a result of this strong coupling, for the oscillating movement of each mass—frame assembly, relative to the support, in parallel to the axis X, virtually a single resonance frequency is obtained, typically between 1 and 100 kHz (or even between 5 and 50 kHz).
As can be seen in
The first end 41, 41′ is connected to the frame 3, 3′ through the first link 5, 5 mentioned above, while the second end 42, 42′ of the mass can move “out of plane”, along a direction parallel to the axis Z, when the mass 4, 4′ pivots about its axis of rotation Δ1, Δ′1.
For each mass 4, 4′, the first end 41, 41′ is located, relative to the rest of the proof mass 4, 4′, opposite to the other proof mass 4′, 4 (and therefore opposite to the other frame 3′). Stated differently, each proof mass 4, 4′ is instead connected to its frame 3, 3′ (through the first link 5, 5′) on the somewhat outer side of the frame, on a side of this mass opposite to the other proof mass 4′, 4.
Each proof mass 4, 4′ is connected, on the side of its second end 42, 42′, to a common rotation detection lever, 7, through a mechanical link 9, 9′. This lever 7 pivots about a detection axis Δ3, which is parallel to the axis Y and which is fixed (or at least essentially fixed) with respect to the support 2. The lever 7 is here connected to the support 2 through a link acting as a hinge (translationally stiff along X and Z, and relatively flexible with respect to rotation about the detection axis Δ3). Lever 7 is located in the central zone of the gyrometer, between the two proof masses. Lever 7 has the shape of a beam, centred on the mean axis of the gyrometer (the mean axis which is parallel to X), when the gyrometer is at rest.
When the gyrometer 1 rotates (i.e.: when the support 2 rotates) with respect to an inertial reference frame, for example with respect to the Galilean reference frame, about the axis Y, with an angular velocity {right arrow over (Ω)}=Ω{right arrow over (y)}, each mass 4, 4′ then experiences a Coriolis force, which is expressed as {right arrow over (F)}cor=2 mcor(v{right arrow over (x)})⊇(Ωŷ) where mcor represents the mass of any one of the proof masses 4, 4′ and where v is its speed of displacement (along the axis X). This force is therefore directed along the axis Z and is of the same amplitude but in the opposite direction for the two proof masses 4 and 4′ (since the two masses are driven in opposite directions). For each of these two masses, this force therefore causes a displacement of its second end 42, 42′, along the axis Z (or, stated differently, a pivoting of the mass about the first axis of rotation Δ1, Δ′1), in an opposite direction for the two masses 4, 4′, which then causes the detection lever 7 to rotate about the detection axis Δ3 (see
Each first link 5, 5′ has some stiffness, opposing to rotation of the corresponding proof mass 4, 4′ about the first axis of rotation Δ1, or Δ′1. To this rotational stiffness are added:
The rotational movement of the mass 4, 4′ about its axis of rotation Δ1, Δ′1 is associated with a resonance frequency, chosen for example so as to be close to (slightly higher, for example by 1 to 10%) the resonance frequency of the frame-mass assembly in its oscillation in parallel to X (frequency at which the system is excited to obtain large displacements). This results in a larger angular velocity measurement signal Q.
In any case, the overall architecture of the gyrometer, with two proof masses 4 and 4′ oscillating symmetrically and actuating the same rotation detection lever 7, is particularly interesting because it allows differential detection of the angular speed of rotation Ω, which greatly improves the signal-to-noise ratio of this gyrometer 1 while greatly attenuating effect of vibrations on the movable parts.
The two strain gauges 21, 22 are located in the lower part of the lever. They extend from a lower face of the lever (lower face which is the face of the lever on the side of the support).
The strain gauges 21, 22 may, as here, each be formed by a portion of a thin silicon top layer of an SOI, silicon-on-insulator, substrate from which the gyrometer is manufactured.
Such an SOI substrate comprises a thick support layer (generally at least 100 microns thick, generally more), covered with an insulating layer, generally of silicon oxide, itself covered by the thin silicon top layer, often called the Si-top layer. This Si-top layer, when manufactured, has a reduced tNEMS thickness (for example 250 nm) and is very well controlled. It is also essentially monocrystalline, and therefore suitable for producing the piezoresistive gauges 21, 22. During manufacture of the gyrometer, an additional layer of silicon (or possibly another material), which is fairly thick (thickness h=tMEMS−tNEMS), is deposited on the Si-top layer, to form the bulk of the proof masses and frames (total thickness tMEMS). This additional layer is polycrystalline or monocrystalline, and its thickness h is typically a few microns or tens of microns. During manufacture of the gyrometer, the Si-top layer and this additional layer are etched to define the different elements of the gyrometer. The silicon oxide layer mentioned above, located under the Si-top layer, is removed (by chemical etching) especially under the parts of the gyrometer that are movable in relation to the support (frames and proof mass in particular), to release these movable parts. Once manufactured, the thick support layer of the SOI substrate forms the support 2 of the gyrometer. In such a device, the Si-top layer, or the elements derived from this layer, are sometimes referred to as the NEMS (nano-electromechanical system) layer.
The two strain gauges 21, 22 are located on either side of the detection axis 3. In addition, the detection axis Δ3 is offset with respect to the strain gages (due to the positioning and configuration of the hinge mentioned above, which connects lever 7 to support 2), in that it is not located as an extension of the strain gages (in practice, the axis Δ3 is located at a different z coordinate from those of the strain gages). Thus, when the lever is rotated about this axis, one of the gauges is stretched, while the other is compressed, which contributes to the differential nature of the angular velocity measurement. In
Here, each strain gauge takes the form of a beam or membrane extending parallel to the axis X.
Clearances 25, 26, 71 and 72 are provided, both in the anchoring studs and in the lever, around the zone occupied by each strain gauge 21, 22 (this results from the way the gauges are manufactured, and enables the gauges to be clearly delimited).
The second links 9 and 9′, which connect lever 7 to proof mass 4 and proof mass 4′ respectively, are now set forth in more detail.
Here, these two links are identical. Therefore, only one of these two links, 9, will be described in detail here. This link 9, as represented in
From one embodiment to the next, identical (or, at least, corresponding) elements are marked by the same reference as far as possible.
In these four embodiments, the second link 9; 19; 29; 39 comprises two half-links, located respectively on one side and the other side of lever 7, on either side of a plane of symmetry of the link, Ps (plane of symmetry which is perpendicular to axis Y). Here, the plane of symmetry PS is also a plane of symmetry for the mass-lever assembly. The two half-links in question are facing each other. They are symmetrical to each other with respect to the plane of symmetry PS.
In these four embodiments, the half-link in question comprises:
The second axis of rotation Δ2, which is the axis of rotation of the second link, is parallel to the first axis of rotation Δ1. When the frames 3, 3′ oscillate, the positions of the first axes of rotation Δ1, Δ′1 vary (these axes are translated), as the frames move relative to the support 2. It should be noted that the X position of the second axes of rotation Δ2, Δ′2 does not necessarily vary by the same amount as the X position of the first axes Δ1, Δ′1.
As explained in detail in the “summary” section, by virtue of this particular arrangement, the second link 9; 19; 29; 39:
In the exemplary embodiments represented, the first wall 91; 391 connects (directly, or via one or two connecting walls 94, 95) to the lever 7, while the second wall 97 connects (directly) to the proof mass 4, the first and second walls also connecting to each other at right angles, for example forming an (inverted) T, as in
In any case, here, the first wall 91; 391 is connected to the proof mass only through the second wall 97 in question (and not by several flexible walls located side by side, as is the case in the link 9aa of prior art set forth above with reference to
More generally, the only mechanical link which directly connects the second end 42 of the proof mass 4 to the lever 7 (that is which connects them without passing through another element, such as the frame 3) is the second link 9; 19; 29; 39 in question. And, in the second link, only the second wall 97 (as well as another second wall 97s, symmetrical to the second wall 97 and belonging to the other half-link, 90s) connects directly to the proof mass 4.
As indicated above, in the different embodiments represented, the second link 9; 19; 29; 39 comprises two half-links 90, 90s. The first half-link (90, in
Here, the second wall 97 and the second additional wall 97s are aligned with each other, and each extend along the second axis of rotation Δ2.
In the different embodiments represented, the second wall 97 extends, in parallel to the axis Y:
As for the first wall 91, in the first three embodiments (
The axis which connects the first end 92 to the second end 93 is parallel to the lever 7.
In these first three embodiments, the first end 98 of the second wall connects (directly and rigidly) to the first wall 91 in a median zone of the first wall 91, between the first and second ends 92, 93 of the first wall. As indicated above, the first and second walls together are then shaped like an (inverted) T.
In the fourth embodiment (
The axis which connects the first end 392 to the second end 393 is again parallel to the axis X (strictly speaking, parallel to the axis X when the lever is at rest, aligned with the axis X).
In the different embodiments considered here, the first and second walls are thin.
In this respect, it will be noted that
In these different embodiments, the second wall 97 has, in parallel to the second axis of rotation Δ2, between its two ends 98 and 99, a length b greater than twenty times its width a (i.e. greater than twenty times its extension along the direction X), or even greater than forty times its width a. Furthermore, along the direction Z, it extends over a thickness tMEMS greater than four times its width a, or even greater than ten times its width a.
By way of example, the length b of the second wall may be between 30 and 150 microns. Its width a can be between 0.5 and 5 microns, and its thickness tMEMS can be between 5 and 100 microns.
In the different embodiments considered here, the first wall 91; 391 has, between its first end 92; 392 connected to the lever and the junction with the second wall 97, a length greater than twenty times its width c (i.e.: greater than twenty times its extension along the direction Y), or even greater than forty times its width c. In the case of the first, second and third embodiments, the first wall 91 thus has, between its two ends 92 and 93, a total length d greater than forty times, or even eighty times, its width c.
By way of example, the total length d of the first wall may be between 50 and 200 microns. Its width c can be between 0.5 and 5 microns.
Furthermore, along the direction Z, the first wall 91; 391 also extends over a thickness tMEMS greater than four times its width c or even greater than ten times its width c. This thickness may, again, be between 5 and 100 microns, for example.
Whatever embodiment is considered, the first and second walls are delimited by a lower edge (on the support side), and, opposite to this, by an upper edge, both of which are free edges (i.e. free to move, as they are not linked, at least not directly, to any other element of the gyrometer).
As indicated above, in the first embodiment (
The second embodiment of the second link (
The third embodiment of the second link (
A complete numerical example is now set forth, byway of illustration, for the first embodiment of link 9 (
A numerical example corresponding to link of prior art in
The values of the stiffness coefficients kX, kZ and CY corresponding to these dimensions are given in Table 2, both for the present link, 9, and for that of prior art, 9aa. The values of these stiffness coefficients have been obtained by numerical simulation.
The stiffness coefficient kX is the stiffness coefficient of the link (expressed, for example, in Newtons per metre) with respect to a relative displacement, between the mass and the lever, along the axis X. The stiffness coefficient kZ is the stiffness coefficient of the link with respect to a relative displacement, between the mass and the lever, along the axis Z. And the stiffness coefficient CY is the rotational stiffness coefficient of the link (expressed, for example, in Newtons·metres per radian), with respect to a rotation of the mass relative to the lever about the axis Δ2.
Table 2 also indicates the value of a non-linearity coefficient NL. This coefficient is equal to the relative difference (in %) between: on the one hand, the spring force (directed along the axis X) corresponding to a stretch of 5 microns in the direction X, and, on the other hand, the value kX×5 microns (i.e.: deviation between the spring force and the straight line which, for small stretches, best describes the force-stretch relationship along the axis X, for a link stretch of 5 microns).
As can be seen from this example, the link 9 effectively provides a low stiffness coefficient kX, a high stiffness coefficient kZ and a low stiffness coefficient CY. In particular, the value of the stiffness coefficient CY is significantly lower than for the link 9aa of prior art, which substantially increases sensitivity of the gyrometer.
In terms of non-linearity, however, the performance of link 9 is less good than that of the link 9aa of prior art. However, this performance is still much better than what would be obtained with a single flexible wall (parallel to the plane Y,Z) embedded at its two ends. In addition, for link 9, the fairly high value of the coefficient NL finally does not have as great an impact as it might appear at first sight, as the coefficient kX is lower than in prior art. Indeed, for the oscillation dynamics of the mass 4-frame 3 assembly, the total X stiffness, due not only to the link 9 (or 9aa), but also, and above all, due to the springs 10 which link the frame to the support should be taken into account. It is therefore in relation to this total stiffness that the non-linearity introduced by link 9 (or 9aa) should be evaluated. And as the coefficient kX is low, for link 9 (lower than for link 9aa), the non-linear term kX×NL(%), to be compared with the total stiffness along X, is not as high as the value of NL(%) would suggest.
For dimensioning the link 9 corresponding to the values in Table 1, the non-linearity of the spring force along the axis X nevertheless remains relatively high. This non-linearity can be decreased by increasing the length of the walls 91, 97 of link 9, as can be seen in Table 3, which gathers the values of the coefficients kX, kZ, CY and NL for three different dimensioning items of link (configurations 1 to 3). In Table 3, the values for dimensions a to f are again given in microns. The values for the other dimensions are the same as for Table 1.
The main difference between configurations 2 and 3 is the length f of the connecting walls 94 and 95 (15 microns for configuration 2 and 30 microns for configuration 3). This difference enables the NL coefficient to be reduced from 8% to 5%, which clearly shows that the flexibility of the connecting walls 94, 95 effectively helps to reduce non-linearity of the link, which has already been made acceptable (compared to a single flexible wall such as the second wall) by virtue of the addition of the first wall 91. It is also noted that, for the example corresponding to configuration 3, the kX x NL(%) term is only 2 to 3 times greater than for the link 9aa of prior art, while the rotational stiffness coefficient CY is approximately 60 times lower than for the link 9aa.
Different alternatives can be made to the gyrometer just described, in particular as regards the second link connecting the lever to the proof mass. Thus, in the examples set forth above, for embodiments 1 to 3, the first wall connects to the lever while the second wall (central bar of the “T”, providing flexibility along X) connects to the proof mass. However, as already indicated, as an alternative, the first wall could be connected to the proof mass while the second wall would be connected to the lever (instead of vice versa). Thus, as illustrated in
The articles “a” and “an” may be employed in connection with various elements and components, processes or structures described herein. This is merely for convenience and to give a general sense of the processes or structures. Such a description includes “one or at least one” of the elements or components. Moreover, as used herein, the singular articles also include a description of a plurality of elements or components, unless it is apparent from a specific context that the plural is excluded.
It will be appreciated that the various embodiments and aspects of the inventions described previously are combinable according to any technically permissible combinations.
Number | Date | Country | Kind |
---|---|---|---|
2210219 | Oct 2022 | FR | national |