On the convergence and causality of a frequency domain method for dynamic structural analysis

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2006,（2）
• 页码范围: 162-169
• 页数: 8页
• 语种: 英文

摘要

Venanico-Filho et al.developed an elegant matrix formulation for dynamic analysis by frequency domain (FD),but the convergence,causality and extended period need further refining.In the present Paper,it was argued that:(1) under reasonable assumptions (approximating the frequency response function by the discrete Fourier transform of the discretized unitary impulse response function),the matrix formulation by FD is equivalent to a circular convolution;(2) to avoid the wraparound Interference,the excitation vector and impulse response must be padded with enough zeros:(3) provided that the zero padding requirement satisfied,the convergence and accuracy of direct time domain analysis,which is equivalent to that by FD,are guaranteed by the numerical integration scheme;(4) the imaginary part of the computational response approaching zero is due to the continuity of the impulse response functions.