2Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.
Get full text

Abstract

This paper proposes a second-order scheme of precision integration for dynamic analysis with respect to long-term integration. Rather than transforming into first-order equations, a recursive scheme is presented in detail for direct solution of the homogeneous part of second-order algebraic and differential equations. The sine and cosine matrices involved in the scheme are calculated using the so-called 2Nalgorithm. Numerical tests show that both the efficiency and the accuracy of homogeneous equations can be improved considerably with the second-order scheme. The corresponding particular solution is also presented, incorporated with the second-order scheme where the excitation vector is approximated by the truncated Taylor series. © 2005 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Ma, H., & Qin, Q. H. (2005). A second-order scheme for integration of one-dimensional dynamic analysis. Computers and Mathematics with Applications, 49(2–3), 239–252. https://doi.org/10.1016/j.camwa.2004.08.009

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free