摘要
本文采用非线性瑞利阻尼,它包括了运动初期低速时有激发,当速度达到极大值时又开始衰减。应用摄动方法把非线性控制方程组化为以无量纲的衰减系数为小参数的各阶线性渐近控制方程组,得出它们的每一个渐近方程组的解都是一个双重杜哈米积分。用一个具体例题说明本文方法的应用。
Abstract in this study,the nonlinear Rayleigh damping is adopted to depict the
initial exciting state in low vibrational velocity and the decaying state at maximum
velocity Perturbation method is adopted to deduce the nonlinear governing equa-
tions into linear asymptotic governing equations for each order with non-
dimensional small pamameter Analytical solutions are obtained in form of a
two fold Duhamel integral for each asymptotic governing equation and an example
is given to illustrate the approach.
出处
《中国公路学报》
EI
CAS
CSCD
北大核心
1993年第1期30-39,共10页
China Journal of Highway and Transport
基金
云南省应用数学研究所科研项目
关键词
水平地震力
非线性阻尼
薄壁梁
桥
Horizontal seismic force
Raveigh damping
Thin-walled beam bridge
