Research Article
Oct 1979
Dynamic Stiffness Matrices for Viscoelastic Half Planes
Publication: Journal of the Engineering Mechanics Division
Volume 105, Issue 5
Abstract
Analytical expressions and numerical results are presented for the complex-valued, dynamic (frequency dependent), flexibility 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 of the half plane, are obtained from solutions of two boundary value problems, associated with harmonically time-varying (eiωt) stresses uniformly distributed between two adjacent nodal points. Numerical values for these coefficients are presented for a viscoelastic half plane of constant hysteretic material. A method is developed to determine from these results the dynamic stiffness matrix, associated with the nodal points at the base of a surface supported structure, for the half plane. The resulting dynamic stiffness matrix is shown to be superior compared to the one determined from an available procedure, which is based on solutions of displacement boundary value problems for the half plane.
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Published In
Journal of the Engineering Mechanics Division
Volume 105 • Issue 5 • October 1979
Pages: 729 - 745
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Oct 1979
Published online: Feb 3, 2021
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Gautam Dasgupta, M.ASCE
Asst. Prof., Dept. of Civ. Engrg. and Engrg. Mech., Columbia Univ., New York, N.Y.
Anil K. Chopra, M.ASCE
Prof. of Civ. Engrg., Univ. of California, Berkeley, Calif.
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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.
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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.