Modal Analysis of Linear Dynamic Systems: Physical Interpretation
Publication: Journal of Structural Engineering
Volume 122, Issue 5
Abstract
The modal analysis procedure for calculating the dynamic response of classically damped linear structural systems is reformulated with the objective of developing the physical significance of the elements of the solution and defining modal contribution factors. The resulting concepts are used to develop an approach for predicting how the relative contributions of various modes to the response and the number of modes that should be included in the solution depend on the vibration properties of the system, on the response quantity of interest, and on (1) the spatial distribution and time variation of applied dynamic forces in the case of force-excited systems, or (2) the response (or design) spectrum for an earthquake excitation. To illustrate this approach, numerical results are presented for a five-story frame for a wide range of parameters and a base-isolated building.
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References
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Chopra, A. K. (1995). Dynamics of structures: theory and applications to earthquake engineering, Prentice Hall, Englewood Cliffs, N.J.
2.
Crandall, S. H., and McCalley, R. B. Jr. (1961). “Numerical methods of analysis.”Shock and vibration handbook, Chapter 28, C. M. Harris and C. E. Crede, eds., McGraw-Hill, New York, N.Y.
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Cruz, E. F., and Chopra, A. K.(1986). “Elastic earthquake response of building frames.”J. Struct. Engrg., ASCE, 112, 443–459.
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Roehl, J. L. (1971). “Dynamic response of ground-excited building frames,” PhD thesis, Rice Univ., Houston, Tex.
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Veletsos, A.S. (1977), Structural Dynamics, class notes, Univ. of Calif., Berkeley.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 5 • May 1996
Pages: 517 - 527
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: May 1, 1996
Published in print: May 1996
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