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Structural Engineering and Mechanics Volume 14, Number 1, July 2002 , pages 71-84 DOI: https://doi.org/10.12989/sem.2002.14.1.071 |
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Transient linear elastodynamic analysis in time domain based on the integro-differential equations |
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Sim WJ, Lee SH
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| Abstract | ||
| A finite element formulation for the time-domain analysis of linear transient elastodynamic problems is presented based on the weak form obtained by applying the Galerkin\'s method to the integro-differential equations which contain the initial conditions implicitly and does not include the inertia terms. The weak form is extended temporally under the assumptions of the constant and linear time variations of field variables, since the time-stepping algorithms such as the Newmark method and the Wilson theta-method are not necessary, obtaining two kinds of implicit finite element equations which are tested for numerical accuracy and convergency. Three classical examples having finite and infinite domains are solved and numerical results are compared with the other analytical and numerical solutions to show the versatility and accuracy of the presented formulation. | ||
| Key Words | ||
| transient, elastodynamic, time-integral formulation, wave diffraction, finite element | ||
| Address | ||
| Sim WJ, Kum Oh Natl Univ Technol, Sch Mech Engn, Dept Engn Sci & Mech, 188 Shinpyung, Kumi 730701, Kyungbuk, South Korea Kum Oh Natl Univ Technol, Sch Mech Engn, Dept Engn Sci & Mech, Kumi 730701, Kyungbuk, South Korea | ||