TRANSIENT ANALYSIS OF STRUCTURAL MEMBERS BY THE CSDT RICCATI TRANSFER-MATRIX METHOD

被引：8

作者：

CHU, FH

PILKEY, WD

机构：

[1] John J. McMullen Associates, Inc., One World Trade Center, New York, NY 10048

[2] Mechanical and Aerospace Engineering, University of Virginia, Charlottesville

来源：

COMPUTERS & STRUCTURES | 1979年 / 10卷 / 04期

关键词：

D O I：

10.1016/0045-7949(79)90004-X

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A method for the direct integration of the dynamic governing partial differential equations of motion for structural members is developed. This technique is called the continuous-space discrete-time (CSDT) Riccati transfer matrix method. This formulation transforms a boundary value problem of governing partial differential equations of motion into a boundary value problem of ordinary differential equations. First, a standard procedure such as finite differences is employed to discretize the time derivatives. Then, a line solution technique such as the Riccati transfer matrix method is utilized to integrate the spatial derivatives. The stability and accuracy of the CSDT Riccati transfer matrix method using the Newmark generalized acceleration formulation for time discretization is studied. For a particular class of governing equations, it is shown that the method is unconditionally stable without amplitude decay error for particular parameter values in the Newmark formulation. The method, however, exhibits period elongation error as a function of the time step. Numerical results for bar and beam example problems indicate that this may well be a viable method for calculating the dynamic response of linear structural members. © 1979.

引用

页码：599 / 611

页数：13

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