非线性转子-轴承系统瞬态响应求解的分块直接积分法

Partitioned Direct Integration Methods for Transient Response of Nonlinear Rotor-Bearing Systems

提出了一种求非线性转子-轴承系统瞬态响应的分块直接积分法,该方法把隐式直接积分法需迭代求解的高维非线性代数方程降到一个低维非线性代数方程,从而比普通直接积分法的求解时间减少了许多。本文首先给出了三种分块直接积分法——分块 Houbolt 方法,分块Wilson-θ方法和分块 Newmark 方法的计算公式,然后用一个算例验证了方法的有效性,并比较了三种方法运算时间的差别。

A kind of new methods,named as partitioned direct integration method,is proposed for calculat- ing the transient respone of nonlinear rotor-bearing systems.By using these methods,the large order non- linear algebraic equations in implicit direct integration method can be reduced to the lower order nonlinear algebraic equations so as to save the computational time greatly.In this paper,three partitoned direct inte- gration methods,i.e.,partitioned Houbolt method,partitoned Wilson-0 method and partitoned Newmark method,are presented.A numerical example is given to demonstrate the efficiency of the present methods and difference of computational time consumed by the above three partitioned direct integration methods.