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VIBRATIONS OF SANDWICH PLATES WITH CONCENTRATED MASSES AND SPRING-LIKE INCLUSIONS

โœ 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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โœฆ 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.


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