Research Article
Jun 1976
Dynamic Stiffness Matrices for Viscoelastic Half-Plane Foundations
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 3
Abstract
Numerical results are presented for complex-valued dynamic (frequency-dependent) stiffness influence coefficients for a homogeneous isotropic linearly viscoelastic half-space in plane strain or generalized plane stress. These influence coefficients, defined for uniformly spaced nodal points at the surface, are obtained from solutions of two boundary value problems, associated with unit harmonic displacements prescribed separately in each of the two-degrees-of-freedom of one nodal point with all other nodal points kept fixed. Results for two viscoelastic models, Voigt solid and constant hysteretic solid, are included. Utilizing the results of this work, the earthquake response of a structure, idealized as a two-dimensional finite element system, on the surface of a viscoelastic half-space in plane strain or generalized plane stress can be analyzed by the substructure method. Because the boundary value problems were solved for unit displacements at individual nodal points on the surface of the foundation, it would not be necessary to limit the base of the structure to a rigid plate.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 3 • June 1976
Pages: 497 - 514
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Jun 1976
Published online: Feb 3, 2021
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Authors
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Anil K. Chopra, M.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
P. Chakrabarti
Asst. Research Engr., Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
Gautam Dasgupta
Asst. Research Engr., Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
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