Free vibration analysis of frames using the transfer dynamic stiffness matrix method

Tsung Hsein Tu; Jen Fang Yu; Hsin Chung Lien; Go Long Tsai; B. P. Wang

doi:10.1115/1.2827366

Free vibration analysis of frames using the transfer dynamic stiffness matrix method

Tsung Hsein Tu^*, Jen Fang Yu, Hsin Chung Lien, Go Long Tsai, B. P. Wang

^*Corresponding author for this work

Department of Biomedical Engineering

Research output: Contribution to journal › Journal Article › peer-review

13 Scopus citations

Abstract

A method for free vibration of 3D space frame structures employing transfer dynamic stiffness matrix (TDSM) method based on Euler-Bernoulli beam theory is developed in this paper The exact TDSM of each member is assembled to obtain the system matrix that is frequency dependent. All free vibration eigensolutions including coincident roots for the characteristic equation can be obtained to any desired accuracy using the algorithm developed by Wittrick and Williams (1971, "A General Algorithm for Computing Natural Frequencies of Elastic Structures," Q. J. Mech. Appl. Math., 24, pp. 263-284). Exact eigenfunction of structures can then be computed using the dynamic shape function and the corresponding eigenvector. The results showed good agreement with those computed by finite element method.

Original language	English
Article number	024501
Journal	Journal of Vibration and Acoustics
Volume	130
Issue number	2
DOIs	https://doi.org/10.1115/1.2827366
State	Published - 04 2008

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title = "Free vibration analysis of frames using the transfer dynamic stiffness matrix method",

abstract = "A method for free vibration of 3D space frame structures employing transfer dynamic stiffness matrix (TDSM) method based on Euler-Bernoulli beam theory is developed in this paper The exact TDSM of each member is assembled to obtain the system matrix that is frequency dependent. All free vibration eigensolutions including coincident roots for the characteristic equation can be obtained to any desired accuracy using the algorithm developed by Wittrick and Williams (1971, {"}A General Algorithm for Computing Natural Frequencies of Elastic Structures,{"} Q. J. Mech. Appl. Math., 24, pp. 263-284). Exact eigenfunction of structures can then be computed using the dynamic shape function and the corresponding eigenvector. The results showed good agreement with those computed by finite element method.",

author = "Tu, {Tsung Hsein} and Yu, {Jen Fang} and Lien, {Hsin Chung} and Tsai, {Go Long} and Wang, {B. P.}",

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T1 - Free vibration analysis of frames using the transfer dynamic stiffness matrix method

AU - Tu, Tsung Hsein

AU - Yu, Jen Fang

AU - Lien, Hsin Chung

AU - Tsai, Go Long

AU - Wang, B. P.

PY - 2008/4

Y1 - 2008/4

N2 - A method for free vibration of 3D space frame structures employing transfer dynamic stiffness matrix (TDSM) method based on Euler-Bernoulli beam theory is developed in this paper The exact TDSM of each member is assembled to obtain the system matrix that is frequency dependent. All free vibration eigensolutions including coincident roots for the characteristic equation can be obtained to any desired accuracy using the algorithm developed by Wittrick and Williams (1971, "A General Algorithm for Computing Natural Frequencies of Elastic Structures," Q. J. Mech. Appl. Math., 24, pp. 263-284). Exact eigenfunction of structures can then be computed using the dynamic shape function and the corresponding eigenvector. The results showed good agreement with those computed by finite element method.

AB - A method for free vibration of 3D space frame structures employing transfer dynamic stiffness matrix (TDSM) method based on Euler-Bernoulli beam theory is developed in this paper The exact TDSM of each member is assembled to obtain the system matrix that is frequency dependent. All free vibration eigensolutions including coincident roots for the characteristic equation can be obtained to any desired accuracy using the algorithm developed by Wittrick and Williams (1971, "A General Algorithm for Computing Natural Frequencies of Elastic Structures," Q. J. Mech. Appl. Math., 24, pp. 263-284). Exact eigenfunction of structures can then be computed using the dynamic shape function and the corresponding eigenvector. The results showed good agreement with those computed by finite element method.

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DO - 10.1115/1.2827366

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SN - 1048-9002

VL - 130

JO - Journal of Vibration and Acoustics

JF - Journal of Vibration and Acoustics

IS - 2

M1 - 024501

ER -

Free vibration analysis of frames using the transfer dynamic stiffness matrix method

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