FORCED VIBRATION OF A 3-LAYER, DAMPED SANDWICH BEAM WITH ARBITRARY BOUNDARY CONDITIONS

被引：694

作者：

MEAD, DJ

MARKUS, S

机构：

[1] Department of Aeronautics and Astronautics, University of Southampton, Southampton, England

[2] Institute of Sound and Vibration Research, University of Southampton, Southampton

来源：

JOURNAL OF SOUND AND VIBRATION | 1969年 / 10卷 / 02期

关键词：

D O I：

10.1016/0022-460X(69)90193-X

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The sixth-order differential equation of motion is derived in terms of the transverse displacement, w, for a three-layer sandwich beam with a viscoelastic core. Mathematical expressions in terms of w are found for a variety of beam boundary conditions. The solution of the differential equation by the method of Di Taranto is shown to yield a special class of complex, forced modes of vibration which are completely uncoupled. These complex modes can only exist when the beam is externally excited by specific damped normal loadings" which are also complex and which are proportional to the local transverse inertia loading on the beam. Use of these modes in the analysis of the forced vibration problem leads to a simple series form of solution. The orthogonality of these complex modes is briefly discussed and proved. © 1969."

引用

页码：163 / &