Dynamic analysis of structures using transfer matrices - an assessment of the numerical accuracy

You Lin Xu, K. C S Kwok, B. Samali

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

Transfer matrix formulation is a convenient method for dynamic analysis of lumped mass systems. This method involves matrix multiplication operation whose order depends on the number of lumped masses. For super tall buildings multiple matrix multiplications could lead to computational errors stemming largely from round-off errors. The accuracy of such numerical computations are assessed by evaluating the results analytically and comparing them with the results obtained from direct multiplication. Typical results indicate that both methods yield similar results, confirming that the accuracy of computer results using direct multiplication is guaranteed. However, the required computer time is greater when direct multiplication method is used.
Original languageEnglish
Title of host publicationComputational Mechanics
PublisherPubl by A.A. Balkema
Pages569-574
Number of pages6
ISBN (Print)9054100303
Publication statusPublished - 1 Dec 1991
Externally publishedYes
EventProceedings of the Asian Pacific Conference on Computational Mechanics - Hong Kong, Hong Kong
Duration: 11 Dec 199113 Dec 1991

Conference

ConferenceProceedings of the Asian Pacific Conference on Computational Mechanics
CountryHong Kong
CityHong Kong
Period11/12/9113/12/91

ASJC Scopus subject areas

  • Engineering(all)

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