On one dynamic problem for structurally inhomogeneous beams

被引：1
|
作者：
Kayuk, Ya. F. [1 ]
Shekera, M. K. [1 ]
机构：
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2007年 / 43卷 / 11期
关键词：
structurally inhomogeneous beam; analytical method; dynamic deformation; virtual-displacement principle;
D O I：
10.1007/s10778-007-0129-0
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A method is developed for studying the dynamic deformation of structurally inhomogeneous beams consisting of homogeneous isotropic layers with different mechanical characteristics. The method is based on the virtual-displacement principle. The equation of motion is derived in vector and scalar forms for arbitrary loads, boundary conditions, and cross-sections with one and two axes of symmetry. The efficiency of the method is demonstrated by solving, as an example, the dynamic deformation problem for a hinged layered beam with a rectangular cross-section under harmonic loading. Mechanical effects are revealed, which describe the influence of the beam structure and the mechanical properties of beam components on the dynamic compliance in comparison with the relevant homogeneous beam with the same geometry.
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页码：1256 / 1263
页数：8
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