Free Vibration of Thin Circular Plates Resting on an Elastic Foundation with a Variable Modulus
| Autor: | M. Mofid, J. E. Akin, M.A. Foyouzat |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Power series
business.industry Mechanical Engineering Mathematical analysis Foundation (engineering) Modulus 020101 civil engineering 02 engineering and technology Structural engineering Fundamental frequency 0201 civil engineering Vibration 020303 mechanical engineering & transports Exact solutions in general relativity 0203 mechanical engineering Mechanics of Materials Boundary value problem business Mathematics Variable (mathematics) |
| Zdroj: | Journal of Engineering Mechanics. 142 |
| ISSN: | 1943-7889 0733-9399 |
| DOI: | 10.1061/(asce)em.1943-7889.0001050 |
| Popis: | An exact solution is established pertaining to the problem of undamped free vibration of a thin circular plate resting on a Winkler foundation with variable subgrade modulus. The solution is performed by applying the infinite power series method. Moreover, the solution procedure is demonstrated through an illustrative example, wherein the general frequency equation is derived for two different boundary conditions. The correctness of the solution is also verified using results available in the literature. Finally, it is shown that the proposed method of solution is directly applicable to the more-general problem of circular plates on a variable-modulus Pasternak-type foundation. |
| Databáze: | OpenAIRE |
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