发表时间：2013-01-01
发表刊物：工程力学
卷号：30
期号：5
页面范围：8-12
ISSN号：1000-4750
摘要：The structural dynamics equations were converted to the state equations
in which the displacement and velocity response were taken as the state
variables. In order to solve the state equations, the perturbation
method was used, and a new series form of analytical solutions was
presented. At the same time, the corresponding iterated computation
formats and steps for the dynamics equations were established. The
algorithm needs only repetitious matrix-vector multiplication and vector
summation without inversion of H matrix and calculation of exponential
matrix e~H Thusly, the computation stability and efficiency are very
high. The items of the series solution and the accuracy of the algorithm
can be directly controlled by the tolerance parameter, and
theoretically, the algorithm can easily achieve arbitrary-order
accuracy, and be suitable for parallel computing and compression
storage. Generally, the algorithm combines the high-efficiency of the
linear acceleration methods and the high-precision of precise
integration methods. This method can be used for calculating the large
sparse linear dynamic equations of engineering structures. At last, a
model numerical example was given to demonstrate the validity and
efficiency of the method.
备注：新增回溯数据
