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A second-order scheme for integration of one-dimensional dynamic analysis

✍ Scribed by Hang Ma; Qing-Hua Qin

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
769 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 2 N algorithm. 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.

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