摘要
本文用谐波增量平衡法分析纵横向耦合梁的谐波响应．梁的动力方程由伽辽金法转化成含有二次和三次非线性项的常微分方程，求得了简谐载荷作用下梁的横向基谐波、超谐波响应和纵向基谐波、倍频基谐波及倍频超谐波响应，并发现了谐波响应的倒峰值现象．本文为求解含有二次和三次非线性振动系统的谐波响应提供了一套理论分析方法．
The harmonic responses of beams with longitudinal and transversal coupling are analyzed by the incremental Harmonic Balance (IHB) method in this paper. The dynamic equations of the beam are transformedinto a set of ordinary differential equations including the quadratic and the cubic nonlinear terms by theGalerkin method. The fundamental resonance and superharmonic resonance responses in transversal direction, and the fundamental resonance, double fundamental resonance and double superharmonic resonanceresponses in longitudinal direction are obtained. A phenomenon of inverted peak in the amplitude-frequency resPOnse curve has been discovered.
出处
《振动工程学报》
EI
CSCD
1995年第1期67-72,共6页
Journal of Vibration Engineering
基金
香港政府UKPG基金
关键词
非线性振动
耦合梁
谐波响应
梁
挠度变形
nonlinear vibration
coupled beam
harmonic response
incremental harmonic balance method
