Analysis of the frame rate limit for the estimation of the natural frequency of vibration in a mechanical system using optical techniques

2021 ◽  
Author(s):  
Victor Ivan Moreno-Oliva ◽  
Jose Angel Desales-Dominguez ◽  
Edwin Román-Hernández ◽  
Manuel Campos-García
2019 ◽  
Vol 26 (13-14) ◽  
pp. 1216-1231 ◽  
Author(s):  
Mohammadreza Zamanzadeh ◽  
Saber Azizi

This paper presents the static and dynamic response characterization of an electrostatic micro-electro-mechanical system mirror driven by repulsive force. The experimental analysis of the static response in different seasons of the year indicates that the capillary force caused by the thin layer of water underneath the mirror is the dominant factor for variation in the lifting threshold of the applied voltage. Dynamic characterization of the mirror reveals a large natural frequency of 2.6 kHz at the increasing rate of 8 Hz/V, indicating a four-fold increase compared to a previous design. This high natural frequency with an almost linear increase is desired for fast speed scanners and interferometers with high tunability benefited from the simplified signal processing circuit. Since the amplitude of the repulsive force micro-structure is no longer restricted to any geometrical limitation, the non-dimensionalizing parameters are chosen so that the nonlinear terms are small enough in order that the perturbation method is applicable in the vicinity of both primary and principal parametric resonances. The analytical analysis shows the way for inserting a bookkeeping parameter in a simple manner based on the evaluation of the magnitude of order in which the pre-assumed value is further validated by experimental results. The results of our investigations can be used to analytically evaluate the static and dynamic behavior of the system and have important applications in the design of various devices such as filters, interferometers, and switches.


2013 ◽  
Vol 690-693 ◽  
pp. 3023-3026
Author(s):  
Jun Zhang ◽  
Chun Ren Tang ◽  
Hong Mei Tang ◽  
Xian Hua Li ◽  
Meng Meng Niu ◽  
...  

It is significant to study the dynamic characteristics of the mechanical system. In order to prevent accidents such as resonance and self-excited shock, modal analysis of the mechanical systems should be analyzed. The mode shape of gears was analyzed to improving the design security. The sleeve, the planet gears and the internal gear of the motor were simulated. All order natural frequency, the mode shape of the motor was obtained. Research shows that motor running is smooth when the frequency is less than 4230Hz.


2001 ◽  
Author(s):  
Albert C. J. Luo ◽  
F. Y. Wang

Abstract Equilibrium, natural frequency and responses of a mechanical resonator with capacitors in a simplified micro-electro-mechanical system (MEMS) are determined. Under application of alternating current (AC) voltage, the resonant conditions for such a system are obtained. The chaotic motions in the vicinity of a specified resonant-separatrix are investigated analytically and numerically. For a given AC voltage amplitude, the AC frequency bands are obtained for chaotic motion in the specific resonant layers and resonant motions, and such chaotic motions can be sensed very easily by the output transducer in MEMS.


2000 ◽  
Author(s):  
Dong-Woo Cho ◽  
Jong-Young Kim ◽  
Sang-Jo Lee ◽  
Ji-Whang Park ◽  
Seok-Moon Choi ◽  
...  

Abstract This paper reports the design and fabrication of a micro-electro-mechanical-system (MEMS)-based electrostatic angular microactuator for a dual-stage servo. We propose a new driving scheme that uses the vector sum of the force generated by parallel plate and comb-finger. To maximize the driving moment, the moving and fixed electrodes are arranged to make the driving force perpendicular to the rotating moment of arm. We designed a 2-mm diameter microactuator that can position the pico-slider over ± 1 μm stroke using under 18 volts with a 1 kHz flexural natural frequency for a 2 kHz fine-tracking servo.


2004 ◽  
Vol 97-98 ◽  
pp. 239-244
Author(s):  
Albinas J. Marcinkevičius

Most of researchers at research of "self evicted vibrations" in machining state that they are resulted by passing of force stability boundaries of the mechanical system at which oscillations increase hardly. Explanations of process development from the point of view of grinding dependencies are absent. The article is allotted to analyze the process in time, it is shown how in result of action of forced vibrations with frequencies different from any natural frequency of the system new vibrations with some natural frequency of the system are propagated. New properties of the system are formed. Equations are deduced and calculation results are presented in the article.


2016 ◽  
Vol 24 (1) ◽  
pp. 355 ◽  
Author(s):  
Eric M. Dufresne ◽  
Suresh Narayanan ◽  
Alec R. Sandy ◽  
David M. Kline ◽  
Qingteng Zhang ◽  
...  

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Francesco D’Annibale ◽  
Giuseppe Rosi ◽  
Angelo Luongo

This paper is about the nonlinear analysis of a piezoelectric controlled Ziegler column. The piezoelectric controller, here referred to as Tuned Piezoelectric Damper (TPD), possesses evanescent characteristics and, moreover, it is tuned to the first natural frequency of the mechanical system, thus resembling the well-known Tuned Mass Damper. This means that the flow of energy between mechanical and electrical subsystems is driven by the resonance (Den Hartog principle) and magnified by the singularity of the evanescent electrical characteristics. Numerical simulations, showing how the proposed control strategy is effective in increasing the linear stability domain and decreasing the amplitude of the limit-cycles in the postcritical range, are presented.


Author(s):  
Eric K. L. Yee ◽  
Y. G. Tsuei

Abstract A method for shifting the natural frequency of a damped mechanical system to a desired value is discussed. The solution is derived from the force response equation of the original system. The final equation contains only the degrees of freedom connected to the modifying parameter. Iterations are required but the solution converges rapidly. Modal coupling effects and sensitivity for shifting a frequency are also derived. Modification of stiffness is used as an example for shifting the natural frequency. Numerical results indicate that the method is effective for system dynamics modification.


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