清华大学学报(英文版)
清華大學學報(英文版)
청화대학학보(영문판)
TSINGHUA SCIENCE AND TECHNOLOGY
2004年
1期
51-56
,共6页
structural dynamics%time integration%Taylor series%stability%accuracy
The Taylor series numerical method (TSNM) is a time integration method for solving problems in structural dynamics. In this paper, a detailed analysis of the stability behavior and accuracy characteristics of this method is given. It is proven by a spectral decomposition method that TSNM is conditionally stable and belongs to the category of explicit time integration methods. By a similar analysis, the characteristic indicators of time integration methods, the percentage period elongation and the amplitude decay of TSNM, are derived in a closed form. The analysis plays an important role in implementing a procedure for automatic searching and finding convergence radii of TSNM. Finally, a linear single degree of freedom undamped system is analyzed to test the properties of the method.
