Simulation of nonlinear stiffness in semi-active variable stiffness-tuned mass damper
The larger stroke of semi-active variable stiffness-tuned mass damper (SATMD) always happens in practice, and therefore, the motivation of this study is to investigate the effectiveness of dynamic characteristic caused from the geometrical nonlinearity of the semi-active variable stiffness (SAVIS) device. The expression of the equivalent nonlinear stiffness of the device was firstly obtained, and men the mathematical model of the equivalent stiffness was established by interpolation using the least square method. The coupled nonlinear Duffing equation was simplified by omitting the higher order perturbation terms for practice application. The nonlinear normal mode (NNM) varying with the natural frequency was depicted for the two degree of freedom (DOF) system without damping and excitation by using harmonic balance method. The NNM shows mere are not real solutions in some frequency ranges. The iteration results were obtained under the full period sine-wave pulse and with the El Centre seismic record by using the Runge-Kutta method. The simulation results of standard deviation (STD) response and maximal response of main structure show that the nonlinearity caused by the SAVIS device can improve die control effectiveness of main structure in some conditions under seismic loads.
An-zhi Yan Jun Teng Zhi-xiong Lu
Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China;The Institute of Civ Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1373-1379
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）