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Dynamic soil-structure interaction by numerical Laplace transform
Abstract The dynamic response of general discrete and certain continuous linear systems to earthquake excitation including the effect of soil-structure interaction is obtained with the aid of the Laplace transform with respect to time. Application of the Laplace transform on the finite element equations of motion for a discrete system, directly or in conjunction with modal analysis, reduces them to a system of algebraic equations which are solved numerically in the transform domain. The Laplace transformed equations of motion for beam structures with a continuous distribution of mass are constructed in a finite element fashion with the aid of transformed dynamic stiffness coefficients and are solved numerically to yield the transformed solution. The system response in both cases is obtained by a numerical inversion of the transformed solution. Illustrative numerical examples are presented and the advantage-disadvantages of the Laplace transform technique are discussed.
Dynamic soil-structure interaction by numerical Laplace transform
Abstract The dynamic response of general discrete and certain continuous linear systems to earthquake excitation including the effect of soil-structure interaction is obtained with the aid of the Laplace transform with respect to time. Application of the Laplace transform on the finite element equations of motion for a discrete system, directly or in conjunction with modal analysis, reduces them to a system of algebraic equations which are solved numerically in the transform domain. The Laplace transformed equations of motion for beam structures with a continuous distribution of mass are constructed in a finite element fashion with the aid of transformed dynamic stiffness coefficients and are solved numerically to yield the transformed solution. The system response in both cases is obtained by a numerical inversion of the transformed solution. Illustrative numerical examples are presented and the advantage-disadvantages of the Laplace transform technique are discussed.
Dynamic soil-structure interaction by numerical Laplace transform
Narayanan, G.V. (author) / Beskos, D.E. (author)
Engineering Structures ; 4 ; 53-62
1982-01-01
10 pages
Article (Journal)
Electronic Resource
English
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