粘性阻尼双线性滞迟振子简谐激励响应的Krylov-Bogoliubov计算方法

RESPONSE COMPUTATION OF A VISCOUS DAMPING BILINEAR HYSTERETIC OSCILLATOR UNDER SINUSOIDAL EXCTTATION USING KPYLOV-BOGOLIUBOV METHOD

运用KrylovBogoliubov慢变参数法，研究了含有立方非线性粘性阻尼双线性滞迟振子简谐激励响应计算问题，并根据具有周期系数的常微分方程Floquet理论分析了定常响应的稳定性，指出了由于立方非线性因素的存在，响应的幅频曲线可能出现鞍结分叉，即跳跃现象。

By the Krylov-Bogoliubov method,the response computation of a forced vibration of the viscous damping bamping bilinear hysteretic oscillator with cubic restoring force is studied. The approach is examined by fourthorder Runge-Kutta numerical integration.The Floquet theory is applied to determining the stability of periodic solutions. Through the numerical and theoretical investigation, a conclusion that the saddle-node bifuration due to the cubic nonlinear will happen under higher level exciting is reached.