Rolling-type micro-vibration isolation mechanisms based on elastic contact
GUAN Gaofeng1, XU Dengfeng2, ZHU Yu1,2, YU Qiang1, LI Qiang3
1. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; 2. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; 3. School of Engineering Information, Wuchang University of Technology, Wuhan 430223, China
Abstract：Modeling of rolling-type mechanisms for micro-vibration isolation is usually based on the assumption of rigid contact and pure rolling motion that leads to large errors in the measured and theoretical natural frequencies. This study presents a model using elastic contact with elastic deformation and micro-sliding between the contact surfaces that leads to a differential equation for the system motion based on Lagrange's equation to predict the natural frequency. Previous models have only contained structural parameters while this one also includes related material parameters. The analysis predicts natural frequencies that are larger than those in previous models because the elastic potential energy stored in the contact interfaces increases the total potential energy. The theoretical results agree much better with measurements with errors of less than 25% compared to previous models that had errors of 70%.
[1] LIN T W, HONE C C. Base isolation by free rolling rods under basement[J]. Earthquake Engineering & Structural Dynamics, 1993, 22(3):261-273. [2] ZHOU Q, LU X L, WANG Q M, et al. Dynamic analysis on structures base-isolated by a ball system with restoring property[J]. Earthquake Engineering & Structural Dynamics, 1998, 27(8):773-791. [3] JANGID R S, LONDHE Y B. Effectiveness of elliptical rolling rods for base isolation[J]. Journal of Structural Engineering, 1998, 124(4):469-472. [4] JANGID R S. Stochastic seismic response of structures isolated by rolling rods[J]. Engineering Structures, 2000, 22(8):937-946. [5] YASUDA M, MINBU S, PAN G, et al. Vibration control unit and vibration control body:US, 7278623B2. 2007-10-09. [6] KEMENY Z A. Micro vibration isolation device:USA, 6517060B1. 2003-02-11. [7] BUTTERWORTH J W. Seismic response of a non-concentric rolling isolator system[J]. Advances in Structural Engineering, 2006, 9(1):39-54. [8] CHUNG L L, YANG C Y, CHEN H M, et al. Dynamic behavior of nonlinear rolling isolation system[J]. Structural Control and Health Monitoring, 2009, 16(1):32-54. [9] GANG G F, YU Q, SHEN F. Theory and experiments of a rolling-ball mechanism for horizontal vibration isolation[C]//Proceedings of 2015 Joint International Mechanical, Electronic and Information Technology Conference. Chongqing, China:Atlantis Press, 2015:846-852. [10] HARVEY JR P S, KELLY K C. A review of rolling-type seismic isolation:Historical development and future directions[J]. Engineering Structures, 2016, 125:521-531. [11] 波波夫. 接触力学与摩擦学的原理及其应用[M]. 李强, 雒建斌, 译. 北京:清华大学出版社, 2011. POPOV V L. Contact mechanics and friction physical principles and applications[M]. LI Q, LUO J B, trans. Beijing:Tsinghua University Press, 2011. (in Chinese) [12] 金学松. 轮轨蠕滑理论及其试验研究[D]. 成都:西南交通大学, 1999. JIN X S. Study on creep theory of wheel and rail system and its experiment[D]. Chengdu:Southwest Jiaotong University, 1999. (in Chinese) [13] 张俊杰, 马勇. 双盘式渐开线仪中的轮轨弹性蠕滑问题[J]. 机械传动, 2007, 31(5):6-8. ZHANG J J, MA Y. Elastical creepages between wheel and rail in double-disk involute measuring apparatus[J]. Journal of Mechanical Transmission, 2007, 31(5):6-8. (in Chinese) [14] HARVEY JR P S, GAVIN H P. The nonholonomic and chaotic nature of a rolling isolation system[J]. Journal of Sound and Vibration, 2013, 332(14):3535-3551. [15] SUBRAHMANYAN P K. A model approach to precision motion control[D]. Cambridge, Massachusetts, USA:Massachusetts Institute of Technology, 1999.
2019, Vol. 59 
