Research Article
Apr 1971
Frequency Analysis of Thin-Walled Shear Walls
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 2
Abstract
The coupled equations of motion for a thin-walled shear wall of monosymmetric cross section are presented based on thin-walled beam theory. An exact coupled solution is obtained by simultaneously solving a coupled polynomial and set of homogeneous linear algebraic equations, in order to obtain the natural frequencies and mode shapes. An approximate solution is obtained by using the uncoupled flexural and torsional mode shapes in applying the virtual work principle in order to obtain the appropriate eigenvalues. A comparison of the exact and approximate solutions for a single shear wall of E-shaped cross section indicates extremely close agreement for both frequencies and mode shapes. The approximate solution requires considerably less computer time than the exact solution and consequently provides a valuable alternative.
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Information
Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 2 • April 1971
Pages: 239 - 252
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Apr 1971
Published online: Feb 3, 2021
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Authors
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Arthur C. Heidebrecht, AM.ASCE
Assoc. Prof., Dept. of Civ. Engrg. and Engrg. Mech., McMaster Univ., Hamilton, Ontario, Canada
Ravindora K. Raina
ResearchEngr.,Dept. of Civ.Engrg. andEngrg. Mech., McMaster Uruv.,Hamilton, Ontario, Canada
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.