Design of Low-Frequency Vibration Isolation System for On-Board Inertial Navigation System in Agricultural Vehicles

Abstract

A small quasi-zero stiffness(QZS) vibration isolator is designed to be mounted on the roof of an agricultural vehicle for the working environment and vibration frequency of the inertial navigation system. By using the principle that the Euler beam has a negative stiffness in the critical state, the dynamic stiffness of the loaded QZS vibration isolator in the balance position tends to be close to zero by connecting a vertical spring in parallel. Firstly, the stiffness of the QZS vibration isolation system at the balance position is analyzed statically, and the material parameters and properties of the Euler beam are determined. Then, the dynamic equations are established,and the harmonic equilibrium method is used to solve the dynamic response under sinusoidal excitation to obtain the force transmissibility of the QZS vibration isolation system,and to make a comparison with that of the linear isolation system. Finally, the modal simulation, harmonic response simulation and random vibration simulation of the QZS vibration isolator are carried out through the finite element analysis, and the results show that the QZS vibration isolator has a lower initial isolation frequency and a larger isolation range, and the peak vibration isolation can reach about 11. 58 dB.

Keywords

vibration isolator / quasi-zero stiffness (QZS) / buckling / Euler beam / finite element analysis

References

[1] YUAN J Q, ZHOU Y Q, FAN J, et al. Research on vibration characteristics of tractor driving on the farmland[J]. Journal of Chinese Agricultural Mechanization, 2020, 41(2): 127-134. (in Chinese)

[2] XU G F, CHEN M Z, JIN C Q, et al. A review of key technology of tractor automatic driving[J]. Journal of Chinese Agricultural Mechanization, 2022, 43(6): 126-134. (in Chinese)

[3] JI X, WANG S R. Adaptive design for vibration environment of electronic equipment[M]. Beijing: Publishing House of Electronics Industry, 2012. (in Chinese)

[4] BRAMAN T, GROSSMAN O. Designing vibration and shock isolation systems for micro electrical machined based inertial measurement units[C]//2006 IEEE/ION Position, Location, and Navigation Symposium. Coronado, USA: IEEE, 2006: 400-404.

[5] LAHHAM J I, WIGENT D J, COLEMAN A L. Tuned support structure for structure-borne noise reduction of inertial navigator with dithered ring laser gyros (RLG)[C]//IEEE 2000 Position Location and Navigation Symposium. San Diego, USA: IEEE, 2000: 419-428.

[6] BANERJEE K, DAM B, MAJUMDAR K, et al. An improved dither-stripping scheme for strapdown ring laser gyroscopes[C]//2004 IEEE Region 10 Conference TENCON 2004. Chiang Mai. Thailand: IEEE, 2004: 689-692.

[7] YAO J J. Contrast of different vibration isolation patterns used in strap-down inertial navigation system[J]. Structure & Environment Engineering, 2009, 36(2): 19-27.

[8] GAO J Q, TANG X Q, HUANG X Y, et al. FEA method for analysis of SINS error caused by vibration isolation system[J]. Acta Armamentarii, 2016, 37(9): 1570-1577.

[9] WANG D C. Optimal design of vehicle FOG strapdown inertial navigation system[D]. Harbin: Harbin Engineering University, 2021. (in Chinese)

[10] TU C C, CHEN Z A, ZHANG X S, et al. Vibration performance of fluoro-silicone rubber vibration absorber for inertial navigation[J]. Ordnance Material Science and Engineering, 2023, 46(5): 131-136. (in Chinese)

[11] DUAN Z Y, CHU H R, JIA H G, et al. Researches on designing of MEMS strapdown inertial navigation vibration damping system[J]. Journal of Mechanical Strength, 2017, 39 (4): 797-803. (in Chinese)

[12] YI X B, SHENG X W, XU Y, et al. Characteristic analysis and harmonic feature identification of micro-vibration on flywheels[J]. Journal of Donghua University (English Edition), 2021, 38(1): 28-35.

[13] PENG X, CHEN S N, SONG F P. Research on theory of negative stiffness and its application[J]. Journal of Hunan University (Natural Sciences), 1992(4): 89-94. (in Chinese)

[14] MENG L S, SUN J G, FU N, et al. Design and analysis of a novel quasi-zero stiffness vibration isolation system[J]. Journal of Vibration and Shock, 2014, 33(11): 195-199. (in Chinese)

[15] ZHOU J X, WANG X L, XU D L, et al. Experimental study on vibration isolation characteristics of the quasi zero stiffness isolator with camroller mechanism[J]. Journal of Vibration Engineering, 2015, 28(3): 449-455. (in Chinese)

[16] JIANG Y L, SONG C S, DING C M, et al. Design of magnetic-air hybrid quasi-zero stiffness vibration isolation system[J]. Journal of Sound and Vibration, 2020, 477: 115346.

[17] DAI H H, JING X J, WANG Y, et al. Postcapture vibration suppression of spacecraft via a bio-inspired isolation system[J]. Mechanical Systems and Signal Processing, 2018, 105: 214-240.

[18] HUANG X C, LIU X T, SUN J Y, et al. Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: a theoretical and experimental study[J]. Journal of Sound and Vibration, 2014, 333(4): 1132-1148.

[19] LIU R F, ZHANG H J. Static load and modal analysis of electronic cabinet based on finite element method[J]. Electro-MechanicalEngineering, 2014, 30 (1): 11-13, 51. (in Chinese)

[20] YANG W F, WEI Q, ZHU L Q. Anti-vibration design for an airborne electronic equipment based on finite element method[J]. Journal of Vibration and Shock, 2010, 29 (5): 230-234, 253. (in Chinese)

[21] ZHANG J D, LIU H B. The modal analysis of airborne equipment bracket based on ANSYS[J]. Journal of Xihua University(Natural Science Edition), 2012, 31 (2): 54-57. (in Chinese)

[22] LIU X T, SUN J Y, XIAO F, et al. Principle and performance of a quasi-zero stiffness isolator for micro-vibration isolation[J]. Journal of Vibration and Shock, 2013, 32(21): 69-73. (in Chinese)

[23] YAN J. Characterization analysis of quasi-zerostiffness isolator and application on satellite vibration suppression[D]. Harbin: Harbin Engineering University, 2016. (in Chinese)

[24] VIRGIN L N, DAVIS R B. Vibration isolation using buckled struts[J]. Journal of Sound and Vibration, 2003, 260(5): 965-973.

[25] PAN Y, ZHAO T. Discussion on the method of solving the moment of inertia of cross-section of common engineering components[J]. China Science and Technology Information, 2012 (10): 90. (in Chinese)

[26] LIU X T, HUANG X C, ZHANG Z Y, et al. Influence of excitation amplitude and load on the characteristics of quasi-zero stiffness isolator[J]. Journal of Mechanical Engineering, 2013, 49(6): 89-94. (in Chinese)