Free vibration analysis of nonsymmetrically laminated cross-ply L-shaped frames

被引:1
作者
Bachoo, Richard [1 ]
机构
[1] Univ West Indies, Dept Mech Engn, St Augustine Univ Rd, St Augustine, Trinidad Tobago
关键词
Cross-ply laminate; free vibration; L-shaped frame; nonsymmetric; wave analysis; COMPOSITE; BEAMS;
D O I
10.1177/14644207211016888
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Fiber-reinforced composite laminates can be tailored to produce structural elastic couplings that optimize their response in dynamic environments. It is therefore essential that the free vibration characteristics of structural elements fabricated from fiber-reinforced composites be accurately modeled and investigated. In this work, an analytical wave-based approach is extended to study the in-plane vibrations of nonsymmetrically laminated cross-ply L-shaped frames. The proposed theory accounts for the effects of shear deformation, rotary inertia, and the elastic coupling between in-plane bending and longitudinal deformations. The reflection matrices at the boundaries, together with the reflection and transmission matrices at the corner joint of the L-shaped frame are derived. A traveling wave approach is then used to systematically assemble the small-order matrices into a single expression that can be used to efficiently calculate the exact natural frequencies. An expression for evaluating the mode shapes of the frame for general boundary conditions is also given. The application of the wave-based method is illustrated through several numerical examples and the results are validated using independent finite element models. As part of the numerical analysis, the influence of the number of cross-ply layers on the natural frequencies is investigated.
引用
收藏
页码:2112 / 2127
页数:16
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