Dynamic analysis in solid mechanics by an alternative boundary element procedure |
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| Affiliation: | 1. Civil Engineering Department, University of Southampton, Southampton, UK;2. Civil Engineering Department, University of Zagreb, Zagreb, Yugoslavia;1. Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;2. Aerospace Research Institute of Materials and Processing Technology, Beijing 100076, China;1. Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia;2. Jožef Stefan International Postgraduate School, Jamova 39, 1000 Ljubljana, Slovenia;3. Faculty of Microsystem Electronics and Photonics, Wrocław University of Technology, Janiszewskiego Street 11/17, 50-372 Wrocław, Poland;1. School of Astronautics, Northwestern Polytechnical University, Xi׳an 710072, PR China;2. Institute for Computational Mechanics and Its Applications, Northwestern Polytechnical University, Xi׳an 710072, PR China;3. Department of Mechanical Engineering, University of Cincinnati, Cincinnati, OH 45221-0072, USA |
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| Abstract: | A new procedure for eigenvalue and transient dynamic analyses in solid mechanics is presented here using a boundary integral approach. Contrary to previous work, it is shown in this paper that by applying a special class of co-ordinate functions one can obtain the mass matrix using boundary values. As a consequence, the free vibration case is reduced to an algebraic eigenvalue problem, while transient vibrations can be solved by using a direct time integration procedure. |
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