摘要
以能量差为基础的等效线性化方法来线性化Duffing系统,然后结合虚拟激励法和四阶辛差分格式来求解线性系统的随机响应问题,从而得到了一套高效高精度求解动力系统随机响应的方法.数值结果验证了该结论的正确性.
Duffing system was linearized by equivalent linearization method based on en ergy difference, then, the random response of the linear system was solved by combining the pseudo excitation method and four-order symplectic geometry algorithm. It is concluded that an approach to combine the pseudo excitation method, symplectic geometry algorithm and equivalent linearization method is accurate and efficient.
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
2008年第1期37-43,共7页
Journal of Aerospace Power
关键词
DUFFING振子
虚拟激励法
辛算法
等效线性化方法
方程差
能量差
duffing system
pseudo excitation method
symplectic geometry algorithm
equivalent linearization method
equation difference
energy difference
