CN114894173A - A mass stiffness decoupling ring MEMS resonator structure and trimming method - Google Patents

A mass stiffness decoupling ring MEMS resonator structure and trimming method Download PDF

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CN114894173A
CN114894173A CN202210501799.7A CN202210501799A CN114894173A CN 114894173 A CN114894173 A CN 114894173A CN 202210501799 A CN202210501799 A CN 202210501799A CN 114894173 A CN114894173 A CN 114894173A
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mass
frequency
trimming
ring
rigid
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肖定邦
李青松
陈传富
路阔
吴锴
吴学忠
席翔
张勇猛
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National University of Defense Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C19/00Gyroscopes; Turn-sensitive devices using vibrating masses; Turn-sensitive devices without moving masses; Measuring angular rate using gyroscopic effects
    • G01C19/56Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces
    • G01C19/567Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces using the phase shift of a vibration node or antinode
    • G01C19/5677Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces using the phase shift of a vibration node or antinode of essentially two-dimensional vibrators, e.g. ring-shaped vibrators
    • G01C19/5684Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces using the phase shift of a vibration node or antinode of essentially two-dimensional vibrators, e.g. ring-shaped vibrators the devices involving a micromechanical structure
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C25/00Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass

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Abstract

The invention discloses a mass stiffness decoupling ring type MEMS resonator structure and a trimming method. The mass stiffness decoupling ring type MEMS resonator structure comprises an anchor point, a resonance ring and a supporting beam positioned between the anchor point and the resonance ring, wherein raised mass blocks are uniformly distributed in the circumferential direction of the resonance ring. According to the invention, the mode of adding the raised mass block on the resonance ring is adopted, the mass rigidity decoupling of the harmonic oscillator is realized, the equivalent vibration mass of the system is improved, the frequency of the system is reduced, the mode trimming of the harmonic oscillator can be quickly realized, and the aims of improving the sensitivity, the resolution ratio, the signal-to-noise ratio and the like of the system are finally achieved.

Description

一种质量刚度解耦环式MEMS谐振器结构及修调方法A mass stiffness decoupling ring MEMS resonator structure and trimming method

技术领域technical field

本发明涉及谐振器技术领域,更具体地说,特别涉及一种质量刚度解耦环式MEMS谐振器结构及修调方法。The invention relates to the technical field of resonators, and more particularly, to a mass stiffness decoupling ring type MEMS resonator structure and a trimming method.

背景技术Background technique

频率裂解是研制高性能陀螺道路上的一块绊脚石,频率裂解将严重影响陀螺的灵敏度、分辨率以及信噪比等性能。环形陀螺的修调一直是研究领域备受关注的重大课题,很多研究机构都在不停地探索新结构的设计或修调方法,解决由于加工误差带来的模态不匹配问题。专利号为ZL201910811367.4的中国发明专利提出了在谐振环内侧的相应位置通过激光修调的方法去除质量块,改变陀螺驱动轴和检测轴刚度失配的情况。在传统的机械修调过程中,环式MEMS陀螺只能在环上去除或增加质量,这样会同时影响陀螺谐振子的质量和刚度分布,导致修调过程过于繁琐且难度较大。因此,有必要设计出一种质量刚度解耦环式MEMS谐振器结构及修调方法。Frequency cracking is a stumbling block on the road to the development of high-performance gyroscopes. Frequency cracking will seriously affect the sensitivity, resolution, and signal-to-noise ratio of gyroscopes. The adjustment of the ring gyro has always been a major topic of concern in the research field. Many research institutions are constantly exploring the design or adjustment methods of new structures to solve the problem of modal mismatch caused by machining errors. The Chinese invention patent with the patent number of ZL201910811367.4 proposes to remove the mass block by the method of laser trimming at the corresponding position inside the resonant ring, and change the stiffness mismatch of the gyro drive axis and the detection axis. In the traditional mechanical trimming process, the ring MEMS gyroscope can only remove or add mass on the ring, which will affect the mass and stiffness distribution of the gyro resonator at the same time, making the trimming process too cumbersome and difficult. Therefore, it is necessary to design a mass stiffness decoupling ring MEMS resonator structure and a tuning method.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于提供一种质量刚度解耦环式MEMS谐振器结构及修调方法,以克服现有技术所存在的缺陷。The purpose of the present invention is to provide a mass-stiffness decoupling ring MEMS resonator structure and a trimming method, so as to overcome the defects existing in the prior art.

为了达到上述目的,本发明采用的技术方案如下:In order to achieve the above object, the technical scheme adopted in the present invention is as follows:

一种质量刚度解耦环式MEMS谐振器结构,包括锚点、谐振环,以及位于锚点和谐振环之间的支撑梁,所述谐振环的环向均匀分布有凸起的质量块。A mass stiffness decoupling ring type MEMS resonator structure includes an anchor point, a resonant ring, and a support beam between the anchor point and the resonant ring, and the resonant ring has raised mass blocks uniformly distributed in the circumferential direction.

进一步地,所述质量块的数量为8的倍数。Further, the number of the mass blocks is a multiple of 8.

进一步地,所述质量块为带质量的任意结构。Further, the mass is any structure with mass.

进一步地,所述质量块在谐振环的环向均匀分布满足旋转对称条件。Further, the uniform distribution of the mass blocks in the circumferential direction of the resonant ring satisfies the condition of rotational symmetry.

本发明还提供一种上述的质量刚度解耦环式MEMS谐振器结构的修调方法,包括以下步骤:The present invention also provides a method for adjusting the above-mentioned mass-stiffness decoupling ring MEMS resonator structure, comprising the following steps:

S1、扫频测试确定频率裂解,判断低频刚性轴的位置;S1. The frequency sweep test determines the frequency cracking, and judges the position of the low frequency rigid axis;

S2、选定离刚性轴最近的质量块开始进行修调,并实时监测刚性轴是否对准;S2. Select the mass block closest to the rigid axis to start trimming, and monitor whether the rigid axis is aligned in real time;

S3、在刚性轴对准后,在刚性轴对准的两个质量块上同时等量进行修调,直至频差达到设定要求。S3. After the rigid axis is aligned, the two mass blocks aligned with the rigid axis are adjusted at the same time by the same amount until the frequency difference reaches the set requirement.

进一步地,所述步骤S1具体通过以下方法实现:Further, the step S1 is specifically realized by the following methods:

将锁相放大器信号输入输出端与陀螺信号输出输入端进行连接,通过电源激励谐振子在陀螺驱动轴端测出信号的相位以及振幅,Connect the signal input and output end of the lock-in amplifier to the output and input end of the gyro signal, and excite the resonator through the power supply to measure the phase and amplitude of the signal at the gyro drive shaft end.

若振幅信号中存在两个峰值则刚性轴有一定偏转角,峰值所对应的横坐标为该模态的频率值,两个横坐标之差为频率裂解值;If there are two peaks in the amplitude signal, the rigid axis has a certain deflection angle, the abscissa corresponding to the peak is the frequency value of the mode, and the difference between the two abscissas is the frequency cracking value;

若振幅信号仅有一个峰值则刚性轴已对准,通过更换另一个刚性轴继续进行扫频,两次扫频的频率差为频率裂解值。If the amplitude signal has only one peak value, the rigid axis has been aligned, and the frequency sweep is continued by replacing another rigid axis, and the frequency difference between the two frequency sweeps is the frequency cracking value.

进一步地,所述步骤S2中的修调方法包括点式添加导电胶、飞秒激光去除质量块或增加质量块;若为点式添加导电胶则通过步骤S1所确定高频刚性轴的位置,确定离高频刚性轴最近的质量块进行点胶;若为飞秒激光去除质量则通过步骤S1所确定低频刚性轴的位置,确定离高频刚性轴最近的质量块进行打孔。Further, the trimming method in the step S2 includes point-type addition of conductive glue, femtosecond laser removal of the mass block or addition of the mass block; if the point-type addition of the conductive glue is used, the position of the high-frequency rigid axis determined in step S1 is used, Determine the mass block closest to the high-frequency rigid axis for dispensing; if the mass is removed by femtosecond laser, the position of the low-frequency rigid axis determined in step S1 is used to determine the mass block closest to the high-frequency rigid axis for drilling.

进一步地,所述步骤S3中刚性轴对准的两个质量块上同时等量进行修调包括点式添加导电胶增加质量块或飞秒激光去除质量块;若采用飞秒激光进行调频时,确定低频刚性轴对应的两个质量块同时进行打孔。Further, in the step S3, the two mass blocks whose rigid axes are aligned at the same time are trimmed at the same time, including point-wise adding conductive glue to increase the mass block or femtosecond laser to remove the mass block; if the femtosecond laser is used for frequency modulation, Confirm that the two mass blocks corresponding to the low-frequency rigid axis are punched at the same time.

进一步地,所述修调还包括去除质量与增加质量的组合、质量块的组合。Further, the trimming also includes a combination of removing mass and increasing mass, and a combination of mass blocks.

进一步地,所述修调还包括平衡修调,所述平衡修调包括在四个等价对称位置同时去除或增加的质量相同。Further, the trimming also includes a balance trimming, and the balance trimming includes removing or adding the same mass at the four equivalent symmetrical positions at the same time.

与现有技术相比,本发明的优点在于:本发明提供的一种质量刚度解耦环式MEMS谐振器结构及修调方法,采用在谐振环上增加凸起的质量块的方式,实现谐振子的质量刚度解耦,提升了系统的等效振动质量,同时降低了系统的频率,能够快速实现谐振子的模态修调,最终达到提升系统灵敏度、分辨率和信噪比等目标,同时组合式修调的便利灵活,修调位置容易确定以及利用平衡修调。Compared with the prior art, the present invention has the advantages that the present invention provides a mass-stiffness decoupling ring type MEMS resonator structure and a trimming method, in which a raised mass block is added to the resonant ring to realize resonance. The decoupling of the mass stiffness of the harmonic oscillator improves the equivalent vibration quality of the system, while reducing the frequency of the system, which can quickly realize the modal adjustment of the harmonic oscillator, and finally achieve the goals of improving the sensitivity, resolution and signal-to-noise ratio of the system. The combined adjustment is convenient and flexible, the adjustment position is easy to determine and the balance adjustment is used.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative efforts.

图1为本发明质量刚度解耦环式MEMS谐振器结构示意图;1 is a schematic structural diagram of a mass-stiffness decoupling ring-type MEMS resonator of the present invention;

图2为本发明质量刚度解耦的谐振子拓扑结构图;Fig. 2 is the topological structure diagram of the harmonic oscillator of mass stiffness decoupling of the present invention;

图3为本发明质量刚度解耦的谐振子第一模态和第二模态示意图;3 is a schematic diagram of the first mode and the second mode of the harmonic oscillator with mass stiffness decoupling according to the present invention;

图4为本发明质量刚度解耦的谐振子组合修调示意图;FIG. 4 is a schematic diagram of the combined tuning of the harmonic oscillator with mass stiffness decoupling according to the present invention;

图5为本发明质量刚度解耦的环式MEMS敏感结构的修调方法示意图;5 is a schematic diagram of a method for trimming a ring-type MEMS sensitive structure with mass-stiffness decoupling according to the present invention;

图6为本发明基于正交检测的模态不匹配误差示意图。FIG. 6 is a schematic diagram of a modal mismatch error based on quadrature detection according to the present invention.

具体实施方式Detailed ways

下面结合附图对本发明的优选实施例进行详细阐述,以使本发明的优点和特征能更易于被本领域技术人员理解,从而对本发明的保护范围做出更为清楚明确的界定。The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings, so that the advantages and features of the present invention can be more easily understood by those skilled in the art, and the protection scope of the present invention can be more clearly defined.

参阅图1和图2所示,本实施例公开了一种质量刚度解耦环式MEMS谐振器结构,整体框架为四周锚接式,包括锚点100、谐振环200,以及位于锚点100和谐振环200之间的支撑梁300,典型的实施例如图1所示,谐振环的环向均匀分布有凸起的质量块400,可实现质量和刚度的解耦效果,即利用飞秒激光或者其他机械修调方式在凸起质量块上改变质量仅仅影响结构的质量分布而不影响结构的刚度。Referring to FIG. 1 and FIG. 2 , the present embodiment discloses a mass-stiffness decoupling ring type MEMS resonator structure. The overall frame is of an all-around anchored type, including an anchor point 100 , a resonant ring 200 , and an anchor point 100 . A typical embodiment of the support beam 300 between the vibrating rings 200 is shown in FIG. 1 , the protruding mass blocks 400 are evenly distributed in the circumferential direction of the resonating ring, which can realize the decoupling effect of mass and stiffness, that is, using femtosecond laser or Other mechanical tuning methods change the mass on the raised mass only to affect the mass distribution of the structure without affecting the stiffness of the structure.

在一些实施例中,还可以根据特定使用环境需要来设计陀螺谐振子的梁宽、厚度以及凸起质量块的角度,改变这些参数均会影响陀螺的最终性能。在另一些实施例中,可以改变凸起质量块的数目以及形状,其拓扑结构如图2所示。In some embodiments, the beam width and thickness of the gyro resonator and the angle of the protruding mass can also be designed according to the needs of a specific use environment, and changing these parameters will affect the final performance of the gyro. In other embodiments, the number and shape of the protruding proof-mass can be changed, and its topology is shown in FIG. 2 .

本实施例中,所述质量块的数量为8的倍数,可以为8个、16个等。In this embodiment, the number of the quality blocks is a multiple of 8, which may be 8, 16, or the like.

本实施例中,所述质量块为带质量的任意结构,形状不受限制。In this embodiment, the mass block is any structure with mass, and the shape is not limited.

本实施例中,所述质量块在谐振环的环向均匀分布满足旋转对称条件。In this embodiment, the uniform distribution of the mass blocks in the circumferential direction of the resonant ring satisfies the condition of rotational symmetry.

环式MEMS陀螺工作在n=2模态,第一模态与第二模态的固有刚性轴夹角为45°,如图3所示。The ring MEMS gyroscope works in n=2 modes, and the included angle between the first mode and the second mode's inherent rigidity axis is 45°, as shown in FIG. 3 .

如图4所示,将凸起的质量块按顺序编号,分别为1~16,在修调过程中根据实际需要选择不同的搭配方式进行修调。根据修调理论,在相隔90°位置的凸起质量块上修调效果是等价的。不考虑平衡修调时,当高频刚性轴正对着1号凸起质量块中心,可以仅在1号上进行调轴调频;当高频刚性轴偏转较小如位于1号与16号之间,则可以通过修调离轴最近的质量块进行调轴对准后继续同时在1号与16号或2号与3号上调频;当高频刚性轴偏转角较大如位于1号与2号之间,则可以同时在这两个质量块上同时进行调轴对准后继续同时在1号与16号或2号与3号上调频。考虑平衡修调时,在某一凸起质量块上改变质量必须同时在相隔90°或180°的质量块上改变相同质量。例如,依据初始频率裂解以及高频刚性轴偏转角的大小可以同时在1号和9号上或者1号、5号、9号和13号上进行修调。在调轴过程中,并不是固定选择某一组合的质量块,可以根据高频刚性轴的偏转方向变化适时改变选取的质量块,即灵活快速地调轴。比如当高频刚性轴偏转角较大时在1号和2号上进行调轴,但在这个过程中高频刚性轴会慢慢对准即偏转角逐渐变小,则后期可适时仅在1号继续调轴。组合式连续修调不仅是凸起质量块之间的组合,还有修调方式的组合。例如,可能通过在1号上去除质量进行调轴,而在2号和3号上增加质量进行调频。As shown in Figure 4, the raised mass blocks are numbered in sequence, 1 to 16, respectively. During the trimming process, different matching methods are selected for trimming according to actual needs. According to the trimming theory, the trimming effect is equivalent on the protruding mass blocks separated by 90°. When the balance adjustment is not considered, when the high-frequency rigid axis is directly facing the center of the No. 1 raised mass block, the shaft adjustment can be performed only on No. 1; when the deflection of the high-frequency rigid axis is small, such as between No. 1 and No. 16 During the period, you can adjust the shaft alignment by adjusting the mass block closest to the axis, and then continue to adjust the frequency on No. 1 and No. 16 or No. 2 and No. 3 at the same time; when the deflection angle of the high-frequency rigid shaft is large, such as between No. 1 and No. 1 Between No. 2, you can adjust the axis alignment on the two mass blocks at the same time and continue to adjust the frequency on No. 1 and No. 16 or No. 2 and No. 3 at the same time. When considering balance trim, changing the mass on one raised mass must simultaneously change the same mass on the masses that are 90° or 180° apart. For example, trimming can be performed on No. 1 and No. 9 or No. 1, No. 5, No. 9 and No. 13 at the same time according to the initial frequency cracking and the deflection angle of the high-frequency rigid shaft. In the process of shaft adjustment, instead of selecting a certain combination of mass blocks, the selected mass blocks can be changed in time according to the change of the deflection direction of the high-frequency rigid shaft, that is, the shaft can be adjusted flexibly and quickly. For example, when the deflection angle of the high-frequency rigid shaft is large, adjust the shaft on No. 1 and No. 2, but during this process, the high-frequency rigid shaft will be slowly aligned, that is, the deflection angle will gradually become smaller, and then it can only continue on No. 1 in due course. Adjust the shaft. Combined continuous trimming is not only a combination of raised masses, but also a combination of trimming methods. For example, it might be possible to tune the axis by removing mass on number 1, while adding mass on numbers 2 and 3 for frequency tuning.

本实施例的修调方法利用飞秒激光去除质量实现环式MEMS敏感结构的频率匹配。飞秒激光去除质量修调,需要定位到频率较低的高频刚性轴,以增大该高频刚性轴对应的频率使得频差降低。利用飞秒激光在凸起质量块上去除质量,必须保证不得过度破坏谐振子的整体结构,即所去除的质量必须有一定的限度,一般以本实施例设计的凸起的质量块整体质量的1/10为原则。去除质量的位置可以选择凸起质量块上的中心或者其他位置,由于质量刚度的解耦,均不会影响结构刚度的分布。根据飞秒激光设备的使用特点,去除质量通常以圆柱体的形状进行打孔,并且以凸起质量块的中心为圆心向四周延伸。去除质量的多少依据高频刚性轴偏转角以及频率裂解的大小选择飞秒激光路径的大小以及打孔深度。The trimming method of this embodiment utilizes the femtosecond laser to remove the mass to achieve frequency matching of the ring-type MEMS sensitive structure. For femtosecond laser removal quality adjustment, it is necessary to locate the high-frequency rigid axis with a lower frequency, so as to increase the frequency corresponding to the high-frequency rigid axis and reduce the frequency difference. The use of femtosecond laser to remove the mass on the raised mass must ensure that the overall structure of the resonator is not excessively damaged, that is, the removed mass must have a certain limit. Generally, the overall mass of the raised mass designed in this embodiment is equal to 1/10 is the principle. The position of mass removal can be selected from the center of the raised mass block or other positions. Due to the decoupling of mass stiffness, the distribution of structural stiffness will not be affected. According to the use characteristics of femtosecond laser equipment, the removal mass is usually punched in the shape of a cylinder, and the center of the raised mass is used as the center of the circle to extend to the periphery. The amount of mass removed depends on the deflection angle of the high-frequency rigid axis and the size of the frequency cracking to select the size of the femtosecond laser path and the drilling depth.

本发明的环式MEMS敏感结构的修调方法总体思路为先调轴后调频。在调轴过程中,关键在于准确辨识刚性轴的对准问题,如图5所示,其中三根位置线,17号与18号线间隔45°,19号线是两者的角平分线,主要用于说明修调过程刚性轴的位置。谐振子的初始刚性轴偏转角度范围为0-22.5°(假设刚性轴右偏)。谐振子驱动轴和检测轴角度差为45°,凸起质量块两两中心角度夹角为22.5°,可知刚性轴可能偏离原先对准的两个凸起质量块。为了尽可能减少陀螺修调过程中造成的不稳定误差因素的引入,应当对称分布修调的质量。本发明的修调方法中的模态不匹配误差辨识主要是基于正交检测,如图6所示,由于刚性轴的偏转,陀螺谐振子的驱动轴和检测轴同时被激励,产生正交信号。正交信号中的正弦分量与因刚性轴偏转引入的频差一一对应,据此可以判断刚性轴是否对准。The general idea of the adjustment method for the ring-type MEMS sensitive structure of the present invention is to adjust the shaft first and then adjust the frequency. In the process of adjusting the shaft, the key is to accurately identify the alignment problem of the rigid shaft. As shown in Figure 5, among the three position lines, the 17th and 18th lines are separated by 45°, and the 19th line is the angle bisector of the two. Used to describe the position of the rigid axis during the trimming process. The initial rigid axis deflection angle of the resonator ranges from 0 to 22.5° (assuming that the rigid axis is deviated to the right). The angle difference between the drive shaft and the detection shaft of the resonator is 45°, and the angle between the centers of the protruding mass blocks is 22.5°. It can be seen that the rigid axis may deviate from the originally aligned two protruding mass blocks. In order to minimize the introduction of unstable error factors during gyro trimming, the trimming masses should be symmetrically distributed. The modal mismatch error identification in the tuning method of the present invention is mainly based on quadrature detection. As shown in FIG. 6 , due to the deflection of the rigid axis, the driving axis and the detection axis of the gyro resonator are excited at the same time, and a quadrature signal is generated. . The sinusoidal component in the quadrature signal corresponds to the frequency difference caused by the deflection of the rigid shaft, so it can be judged whether the rigid shaft is aligned.

以花环式谐振子为例,本实施例的质量刚度解耦环式MEMS谐振器结构的修调方法,包括以下步骤:Taking a rosette-type resonator as an example, the method for adjusting the mass-stiffness decoupling ring-type MEMS resonator structure of the present embodiment includes the following steps:

步骤S1、扫频测试确定频率裂解,判断低频刚性轴的位置。Step S1, the frequency sweep test determines the frequency cracking, and judges the position of the low frequency rigid axis.

具体的,将一锁相放大器信号输入输出端与陀螺信号输出输入端进行连接,通过电源激励谐振子可以在陀螺驱动(或检测)轴端测出信号的相位以及振幅。若振幅信号中存在两个峰值则说明刚性轴有一定偏转角,峰值所对应的横坐标为该模态的频率值,两个横坐标之差即为频率裂解值;若振幅信号仅有一个峰值,则说明刚性轴已经对准,然后通过换另一个轴继续进行扫频,两次扫频的频率差即为频率裂解值。由于对称结构,如图5所示,17、18黑线为理想情况下驱动轴与检测轴的对应位置,夹角为45°。假设刚性轴往右偏,根据驱动或者检测电极位置以及扫频的频率大小可以判断低频刚性轴大致在17和19或者18和19之间。一般情况下,谐振子初始频率裂解为几十赫兹,刚性轴与理想位置夹角在11.25°以内。Specifically, a lock-in amplifier signal input and output end is connected to the gyro signal output and input end, and the phase and amplitude of the signal can be measured at the gyro drive (or detection) shaft end by exciting the resonator through the power supply. If there are two peaks in the amplitude signal, it means that the rigid axis has a certain deflection angle, the abscissa corresponding to the peak is the frequency value of the mode, and the difference between the two abscissas is the frequency cracking value; if the amplitude signal has only one peak , it means that the rigid axis has been aligned, and then continue to sweep the frequency by changing to another axis, and the frequency difference between the two sweeps is the frequency cracking value. Due to the symmetrical structure, as shown in Figure 5, the black lines 17 and 18 are the corresponding positions of the drive shaft and the detection shaft under ideal conditions, and the included angle is 45°. Assuming that the rigid axis is deviated to the right, it can be determined that the low frequency rigid axis is roughly between 17 and 19 or 18 and 19 according to the position of the driving or detection electrode and the frequency of the sweep frequency. In general, the initial frequency of the harmonic oscillator is split to several tens of Hz, and the angle between the rigid axis and the ideal position is within 11.25°.

步骤S2、选定离刚性轴最近的质量块开始进行修调,并实时监测刚性轴是否对准。Step S2, select the mass block closest to the rigid axis to start trimming, and monitor whether the rigid axis is aligned in real time.

具体的,该步骤的主要是为了把刚性轴调到理想位置,采取的修调方式可以有:点式添加导电胶、飞秒激光去除质量。其中:点式添加导电胶属于增加质量的修调方式,依据频率与质量的关系,通过步骤S1确定高频刚性轴的位置,找离高频刚性轴最近的凸起质量块进行点胶;飞秒激光去除质量属于去除质量的修调方式,通过步骤S1确定低频刚性轴的位置,找离高频刚性轴最近的凸起质量块进行打孔。Specifically, the main purpose of this step is to adjust the rigid axis to an ideal position, and the adjustment methods adopted can include: point-wise addition of conductive glue, and femtosecond laser to remove quality. Among them, the point-type addition of conductive adhesive belongs to the adjustment method for increasing the quality. According to the relationship between frequency and quality, the position of the high-frequency rigid axis is determined through step S1, and the protruding mass block closest to the high-frequency rigid axis is found for dispensing; Second laser removal quality belongs to the adjustment method of removal quality. The position of the low frequency rigid axis is determined through step S1, and the protruding mass block closest to the high frequency rigid axis is found for drilling.

环式MEMS陀螺谐振子简化的二阶动力学方程为:The simplified second-order dynamic equation of the ring MEMS gyro resonator is:

Figure BDA0003634701820000051
Figure BDA0003634701820000051

Figure BDA0003634701820000052
Figure BDA0003634701820000052

其中,m为等效质量、c1、c2为等效阻尼和k1、k2为等效刚度,x方向为驱动模态,y方向为检测模态。在理想情况下,驱动力f正对着驱动轴,驱动频率为wd,平面内施加一个z方向的角速度,Ag为角度增益。Among them, m is the equivalent mass, c 1 and c 2 are the equivalent damping, k 1 and k 2 are the equivalent stiffness, the x-direction is the driving mode, and the y-direction is the detection mode. In the ideal case, the driving force f is directly opposite the driving shaft, the driving frequency is w d , and an angular velocity in the z direction is applied in the plane, and Ag is the angular gain .

如图6所示,由于刚性轴的偏转,陀螺谐振子的驱动轴和检测轴同时被激励,产生正交信号。根据上述公式(1)、(2)可以得出正交信号的表达式为:As shown in Fig. 6, due to the deflection of the rigid axis, the driving axis and the detection axis of the gyro resonator are excited at the same time, generating a quadrature signal. According to the above formulas (1) and (2), the expression of the quadrature signal can be obtained as:

Figure BDA0003634701820000053
Figure BDA0003634701820000053

其中,K为控制系统的有关系数,在质量块检测模态位移表达式中只有与驱动模态位移同相分量中包含角速度Ωz信息。由公式3可见当正交误差信号的正弦分量为零时,刚度轴偏转角即θw为零。Among them, K is the relevant coefficient of the control system. In the expression of the mass block detection modal displacement, only the in-phase component with the driving modal displacement contains the angular velocity Ω z information. It can be seen from Equation 3 that when the sinusoidal component of the quadrature error signal is zero, the deflection angle of the stiffness axis, that is, θ w , is zero.

在进行调轴修调过程中,可以据此将陀螺输出信号端连接示波器,实时监测正交信号的正弦分量是否为零进而判断轴是否对准。为了修调效果更加有益,不能只在一个凸起质量块上进行修调,应在对称的位置上进行等量修调。In the process of axis adjustment and adjustment, the output signal end of the gyro can be connected to an oscilloscope accordingly, and whether the sine component of the quadrature signal is zero is monitored in real time to determine whether the axis is aligned. In order to make the trimming effect more beneficial, trimming should not be performed only on one raised mass, but equal trimming should be performed on symmetrical positions.

步骤S3、在刚性轴对准后,在刚性轴对准的两个质量块上同时等量进行修调,直至频差达到设定要求。Step S3: After the rigid axis is aligned, trim and adjust the two mass blocks aligned with the rigid axis at the same time until the frequency difference reaches the set requirement.

具体的,刚性对准即调轴结束后,该步骤的目的是进行调频。刚性轴对应有两个凸起质量块,与步骤S2所采用的修调方式一致,如采用飞秒激光进行调频时,找到低频刚性轴对应的两个凸起质量块,同时在上面进行打孔。为了确定何时调频结束,必须实时利用锁相放大器进行换轴扫频观测,当换轴扫频达到指标要求即可认为调频结束,也应在对称的位置上进行等量的修调。Specifically, after the rigid alignment, that is, the adjustment of the axis, the purpose of this step is to perform frequency adjustment. There are two convex masses corresponding to the rigid axis, which is consistent with the adjustment method used in step S2. For example, when using femtosecond laser for frequency modulation, find two convex masses corresponding to the low-frequency rigid axis, and punch holes on them at the same time. . In order to determine when the frequency modulation is over, the lock-in amplifier must be used in real time to observe the frequency sweep of the axis changing. When the frequency sweeping of the changing axis meets the index requirements, the frequency modulation can be considered to be over, and the same amount of adjustment should be carried out at the symmetrical position.

表1一种花环式MEMS陀螺谐振子模型典型参数Table 1 Typical parameters of a rosette MEMS gyro resonator model

Figure BDA0003634701820000054
Figure BDA0003634701820000054

Figure BDA0003634701820000061
Figure BDA0003634701820000061

表2凸起质量块上修调位置及形状(质量一致)影响Table 2 Influence of the modified position and shape (consistent quality) on the raised mass block

Figure BDA0003634701820000062
Figure BDA0003634701820000062

本实施例采用在谐振环上增加凸起质量块的方式,实现谐振子的质量刚度解耦,提升了系统的等效振动质量,同时降低了系统的频率,能够快速实现谐振子的模态修调,最终达到提升系统灵敏度、分辨率和信噪比等目标。仿真结果得出,在如表1的模型参数下,在凸起质量块上修调形状、位置对谐振子修调能力的影响如表2所示。在凸起质量块上去除相同质量,改变位置或者形状均对谐振子的修调效果没有影响,频差数值一致。This embodiment adopts the method of adding a raised mass block on the resonant ring to realize the decoupling of the mass stiffness of the resonator, improve the equivalent vibration quality of the system, and reduce the frequency of the system at the same time, and can quickly realize the modal modification of the resonator. Adjustment, and ultimately achieve the goal of improving system sensitivity, resolution and signal-to-noise ratio. The simulation results show that under the model parameters shown in Table 1, the influence of the shape and position of the convex mass block on the tuning ability of the harmonic oscillator is shown in Table 2. Removing the same mass on the raised mass, changing the position or shape has no effect on the tuning effect of the harmonic oscillator, and the frequency difference value is the same.

虽然结合附图描述了本发明的实施方式,但是专利所有者可以在所附权利要求的范围之内做出各种变形或修改,只要不超过本发明的权利要求所描述的保护范围,都应当在本发明的保护范围之内。Although the embodiments of the present invention are described in conjunction with the accompanying drawings, the patent owner can make various changes or modifications within the scope of the appended claims, as long as the protection scope described in the claims of the present invention is not exceeded, all should be within the protection scope of the present invention.

Claims (10)

1. The mass and rigidity decoupling ring type MEMS resonator structure is characterized by comprising an anchor point, a resonance ring and a supporting beam positioned between the anchor point and the resonance ring, wherein raised mass blocks are uniformly distributed in the circumferential direction of the resonance ring.
2. The mass stiffness decoupled ring MEMS resonator structure of claim 1, wherein the number of masses is a multiple of 8.
3. The mass-stiffness decoupled ring MEMS resonator structure of claim 1, wherein the mass is any structure with mass.
4. The mass stiffness decoupled ring MEMS resonator structure of claim 1, wherein the mass is uniformly distributed in a circumferential direction of the resonating ring to satisfy a rotational symmetry condition.
5. The method for trimming a mass stiffness decoupled ring MEMS resonator structure according to any of claims 1-4, characterized by the steps of:
s1, frequency cracking is determined through frequency sweep test, and the position of a low-frequency rigid shaft is judged;
s2, selecting the mass block closest to the rigid shaft to adjust, and monitoring whether the rigid shaft is aligned in real time;
and S3, after the rigid shaft is aligned, trimming the two mass blocks aligned with the rigid shaft in equal quantity at the same time until the frequency difference reaches the set requirement.
6. The trimming method according to claim 5, wherein the step S1 is specifically realized by the following method:
the signal input/output end of the phase-locked amplifier is connected with the signal output/input end of the gyro, the harmonic oscillator is excited by a power supply to measure the phase and amplitude of the signal at the driving electrode end of the gyro,
if two peak values exist in the amplitude signal, the rigid shaft has a certain deflection angle, the abscissa corresponding to the peak value is the frequency value of the mode, and the difference between the two abscissas is the frequency cracking value;
if the amplitude signal has only one peak value, the rigid shaft is aligned, the frequency sweeping is continuously carried out by replacing the rigid shaft at the end of the detection electrode, and the frequency difference of the two frequency sweeps is a frequency cracking value.
7. The trimming method according to claim 5, wherein the trimming method in step S2 includes removing mass by femtosecond laser or adding mass by spot-adding conductive adhesive; if the conductive adhesive is added in a point mode, determining the position of the high-frequency rigid shaft through the step S1, and determining the mass block closest to the high-frequency rigid shaft for dispensing; if the mass is removed by the femtosecond laser, the position of the low-frequency rigid axis is determined in step S1, and the mass block closest to the high-frequency rigid axis is determined to be perforated.
8. The trimming method according to claim 5, wherein the trimming simultaneously and equally performed on the two mass blocks with the aligned rigid axes in step S3 comprises point-type addition of conductive adhesive, femtosecond laser mass removal or mass addition; and if the femtosecond laser is adopted for frequency modulation, determining that two mass blocks corresponding to the low-frequency rigid shaft simultaneously punch holes.
9. The trimming method according to claim 5, wherein the trimming further comprises a combination of a removed mass and an added mass, a combination of masses.
10. The trimming method according to claim 5, further comprising a balance trimming comprising the same mass being removed or added at four equivalent symmetric positions simultaneously.
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115615463A (en) * 2022-11-22 2023-01-17 中国船舶集团有限公司第七〇七研究所 Hemispherical resonator gyroscope mass-rigidity combined trimming method
CN117647237A (en) * 2024-01-30 2024-03-05 中国人民解放军国防科技大学 Annular micro-electromechanical gyroscope and mode matching trimming method thereof

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115615463A (en) * 2022-11-22 2023-01-17 中国船舶集团有限公司第七〇七研究所 Hemispherical resonator gyroscope mass-rigidity combined trimming method
CN117647237A (en) * 2024-01-30 2024-03-05 中国人民解放军国防科技大学 Annular micro-electromechanical gyroscope and mode matching trimming method thereof
CN117647237B (en) * 2024-01-30 2024-04-09 中国人民解放军国防科技大学 A ring-shaped micro-electromechanical gyroscope and a mode matching adjustment method thereof

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