This paper deals with the free vibrations of infinite elastic plates in the presence of water. Although this is a textbook problem, which has been studied a long time ago, no exact solution in the framework of linear theory seems to have been given so far. A very simple exact solution given in the p
AN ADDITIONAL CONTRIBUTION ON THE VIBRATIONS OF TWO ELASTIC BODIES IN ROLLING CONTACT
β Scribed by R. VAN DOOREN
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 491 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
Recently, an interesting study [1] was published in which the equation of free transverse vibrations of beams with two sections of partially distributed mass was derived and its exact solution obtained. The method was later generalized for the case of beams with multiple spans of distributed mass. M
The problem of bending vibration of a polar-orthotropic non-homogeneous elastic plate on an elastic foundation is considered, and the invariance of the problem-equation under an inversion transformation with respect to a circle is proved. As a corollary, the optimization problem (the ''best'' positi
## Abstract We consider the problem of minimizing among functions __u__:β^__d__^βΞ©ββ^__d__^, __u__~β£βΞ©~=0, and measurable subsets __E__ of Ξ©. Here __f__~__h__~^+^, __f__^β^ denote quadratic potentials defined on Ω¯Γ{symmetric __d__Γ__d__ matrices}, __h__ is the minimum energy of __f__~__h__~^+^ an