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损伤粘弹性正交铺设层合板的非线性振动分析
引用本文:郑玉芳. 损伤粘弹性正交铺设层合板的非线性振动分析[J]. 福州大学学报(自然科学版), 2007, 35(2): 256-260
作者姓名:郑玉芳
作者单位:福州大学土木工程学院,福建,福州,350002
基金项目:福建省青年科技人才创新基金
摘    要:研究了考虑横向剪切变形和损伤效应的粘弹性正交铺设层合中厚板的非线性自由振动问题.基于一阶剪切变形理论、应变等效假设和Boltzmann叠加原理,建立了考虑横向剪切变形和损伤效应的粘弹性层合中厚板的非线性自由振动控制方程,且应用有限差分法、Newmark法和迭代法进行求解.算例中,具体讨论了损伤效应、不同跨厚比和长宽比对粘弹性层合板的非线性自由振动幅频响应曲线的影响.

关 键 词:横向剪切变形  损伤效应  粘弹性层合板  非线性振动
文章编号:1000-2243(2007)02-0256-05
修稿时间:2006-04-20

Nonlinear free vibration for viscoelastic cross-ply laminated plates with damage
ZHENG Yu-fang. Nonlinear free vibration for viscoelastic cross-ply laminated plates with damage[J]. Journal of Fuzhou University(Natural Science Edition), 2007, 35(2): 256-260
Authors:ZHENG Yu-fang
Affiliation:ZHENG Yu-fang (College of Civil Engineering,Fuzhou University,Fuzhou,Fujian 350002,China)
Abstract:The nonlinear free vibration for viscoelastic cross-ply laminated plates under considering transverse shear deformation and damage effect is studied.Based on the Timoshenko-Mindlin theory,strain equivalence hypothesis and Boltzmann superposition principle,the nonlinear free vibration governing equations for viscoelastic moderately thick laminated plates with damage are established and solved by the finite difference,Newmark method and iterative method.In the numerical results,the influences of damage effect,various span-thickness ratio and aspect ratio on the nonlinear amplitude-frequency response curves of the viscoelastic laminated plates are discussed.
Keywords:transverse shear deformation  damage effect  viscoelastic laminated plates  nonlinear vibration
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