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

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

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 proceeding › Conference article published in proceeding or book › Academic research › peer-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 language	English
Title of host publication	Computational Mechanics
Publisher	Publ by A.A. Balkema
Pages	569-574
Number of pages	6
ISBN (Print)	9054100303
Publication status	Published - 1 Dec 1991
Externally published	Yes
Event	Proceedings of the Asian Pacific Conference on Computational Mechanics - Hong Kong, Hong Kong Duration: 11 Dec 1991 → 13 Dec 1991

Conference

Conference	Proceedings of the Asian Pacific Conference on Computational Mechanics
Country/Territory	Hong Kong
City	Hong Kong
Period	11/12/91 → 13/12/91

ASJC Scopus subject areas

General Engineering

Cite this

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title = "Dynamic analysis of structures using transfer matrices - an assessment of the numerical accuracy",

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.",

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AU - Samali, B.

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N2 - 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.

AB - 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.

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M3 - Conference article published in proceeding or book

SN - 9054100303

SP - 569

EP - 574

BT - Computational Mechanics

PB - Publ by A.A. Balkema

T2 - Proceedings of the Asian Pacific Conference on Computational Mechanics

Y2 - 11 December 1991 through 13 December 1991

ER -

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

Abstract

Conference

ASJC Scopus subject areas

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