On the dynamic response of beams on elastic foundations with variable modulus
| Autor: | J. E. Akin, M. Mofid, M.A. Foyouzat |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Power series
Mechanical Engineering Mathematical analysis Computational Mechanics Modulus 02 engineering and technology 01 natural sciences 010101 applied mathematics symbols.namesake 020303 mechanical engineering & transports Exact solutions in general relativity 0203 mechanical engineering Solid mechanics symbols 0101 mathematics Frobenius theorem (differential topology) Beam (structure) Variable (mathematics) Mathematics Analytic function |
| Zdroj: | Acta Mechanica. 227:549-564 |
| ISSN: | 1619-6937 0001-5970 |
| DOI: | 10.1007/s00707-015-1485-1 |
| Popis: | An exact solution is established pertaining to the dynamic response of an Euler–Bernoulli beam resting on a Winkler foundation with variable subgrade modulus. The solution is performed by employing the infinite power series method. Moreover, using the Frobenius theorem, the proposed method is extended in order to solve the problems wherein the variation of the modulus is not an analytic function. The solution procedure is demonstrated through several illustrative examples, and the correctness of the results has been ascertained through comparison with recognized solutions in the literature. Finally, it is shown that the proposed method of solution is directly applicable to the more general problem of beams on a variable-modulus Pasternak-type foundation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink