VIBRATIONS OF SANDWICH PLATES WITH CONCENTRATED MASSES AND SPRING-LIKE INCLUSIONS
โ Scribed by S.V. SOROKIN; N. PEAKE
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 238 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Linear dynamics of a sandwich beam (a plate of sandwich composition in one-dimensional cylindrical bending) bearing concentrated masses and supported by springs is described in the framework of the sixth order theory of multilayered plates. Analysis of the in#uence of a single inclusion and of a pair of identical inclusion upon vibrations of an in"nitely long beam is performed by the use of the Green function method. To construct the Green functions, a dispersion polynomial is derived and normal modes are obtained. Parameters of propagating low-frequency waves are checked against results available in the literature. Then the Green functions for #exural and shear vibrations of a beam excited by a point force or a point shear moment are considered. Attention is focused on a comparison of forced vibrations of homogeneous beams and beams bearing concentrated masses supported by springs. The role of interaction of dominant #exural waves with dominant shear waves near inclusions is discussed. Conditions of localization of #exural waves at these inhomogeneous are explored in respect of excitation parameters and parameters of sandwich composition. Radiated acoustic power is computed in the case of a homogeneous beam and in a trapped mode case to illustrate the importance of the localization e!ect for structural acoustics.
๐ SIMILAR VOLUMES
The vibration characteristics of simply supported rectangular sandwich plates with arbitrarily placed concentrated masses are investigated. By using Fourier transform methods the frequency equation is obtained. A numerical example for a square plate with one attached mass is presented.
Analysis of flexural vibration of unsymmetrical sandwich beams and plates, with viscoelastic cores, has been carried out. In addition to transverse inertia effects, longitudinal translatory and rotary inertia effects have been included. Influence of inclusion of inertia effects, other than transvers