摘要
提出了求解具有非比例阻尼多自由度振动系统自由振动的近似方法。由于阻尼矩阵和质量矩阵以及刚度矩阵相比很小,把系统正则变换后,我们可以把模态阻尼矩阵看作小量,这样我们用多尺度方法求出非比例阻尼系统近似解析解。
An approximate method for free vibration of multi - degree - of - freedom systems with non - proportional damping is presented. The damping matrix is small compared with the mass matrix and the stiffness matrix. Transforming from the physical coordinate to the modal coordinate, we may see the damping matrix as small value. Using the method multiple scales, we can obtain the approximate analytical solution of non - proportionally damped systems.
出处
《安阳工学院学报》
2006年第6期28-30,共3页
Journal of Anyang Institute of Technology
关键词
非比例阻尼
自由振动
多尺度方法
近似解析解
non - proportional damping free vibration the method of multiple scalesapproximate analytical solution