Flexural Wave Motion in Infinite Beam
| Autor: | R. D. McGhie |
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| Rok vydání: | 1990 |
| Předmět: | |
| Zdroj: | Journal of Engineering Mechanics. 116:531-548 |
| ISSN: | 1943-7889 0733-9399 |
| DOI: | 10.1061/(asce)0733-9399(1990)116:3(531) |
| Popis: | This paper presents a wave-motion solution to the flexural response of an infinite length Bernoulli-Euler beam, including linear viscous damping and a Winkler foundation, when subjected to an impulsive force applied at the beam center. The approach used is one in which an impulse response function for the beam is generated in integral form, and this integral form solution is then transformed to an exponentially damped harmonic wave motion form, with both amplitude and phase angle being functions of position, time, damping, and foundation parameter. Numerical results are presented for several time intervals and for different values of damping and foundation parameters. A solution to the response of the beam at its center is given, and this solution is used to study the effects of the foundation on the beam response. An estimating formula for determining a minimum time value for which the Bernoulli-Euler beam equation is valid is given. Wave propagation velocity is examined. |
| Databáze: | OpenAIRE |
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