粘弹性阻尼隔振体非线性振动分析.pdfVIP

16 3 Vol. 16 No.3 2009 6 Journal of Engineering Design Jun. 2009 DOI: 10.3785/ j. issn. 1006-754X. 2009.03. 010 粘弹性阻尼隔振体的非线性振动分析 周 超, 吴庆鸣, 张 强, 李 勇 ( , 430072) :. ,, . ,, . , Floquet ., .. . :; ;; :O322; TH17 :A : 1006-754X(2009) 03-0205-05 Nonlinear vibration analysis of viscoelastic isolator ZHOU Chao, WU Qing-ming, ZHANG Qiang, LI Yong (College of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China) Abstract: Research on nonlinear dynamicresponse of passive vibration isolator, which was excited by foundation vibration and isolatedby viscoelasticmaterial was done. Nonlinear stiffness was ex- pressed by the cubic polynomial function of deformation and nonlinear damping was characterized by viscoelastic fractional derivative operator. Then the fractional derivative nonlinear dynamic e- quation of passive vibration isolator was established. The dynamic response characteristics were analyzed by harmonic balance method and the frequency response equatioin and amplitude-frequen- cy curve were obtained, and furthermore, the influence of nonlinearity on system was analyzed. Finally, the stability and the stable interval of the periodic solution were argued by the Floquet theory. The results indicate that the proposed equation can precisely describe the dynamic charac- teristics of viscoelastic vibration isolator. The ignorance of nonlinearity of stiffness and damping will result in obvious error. Theproposed method providestheoretic referencefor design of viscoe- lastic isolator and the evaluation of its effect. Key wo