Free vibration and transverse stresses of viscoelastic laminated plates

Free vibration and transverse stresses of viscoelastic laminated plates

Based on Reddy's layerwise theory, the governing equations for dynamic response of viscoelastic laminated plate are derived by using the quadratic interpolation function for displacement in the direction of plate thickness. Vibration frequencies and loss factors are calculated for flee vibration of simply supported viscoelastic sandwich plate, showing good agreement with the results in the literature. Harmonious transverse stresses can be obtained. The results show that the transverse shear stresses are the main factor to the delamination of viscoelastic laminated plate in lower-frequency free vibra-tion, and the transverse normal stress is the main one in higher-frequency free vibration. Relationship between the modulus of viscoelastic materials and transverse stress is an-alyzed. Ratio between the transverse stress's maximum value and the in-plane stress's maximum-value is obtained. The results show that the proposed method, and the adopted equations and programs are reliable.

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作 者： Ming-yong HU An-wen WANG  

作者单位：College of Science, Naval University of Engineering, Wuhan 430033, P. R. China 

刊 名：应用数学和力学（英文版）  EI SCI

英文刊名：APPLIED MATHEMATICS AND MECHANICS 

年，卷(期)：2009 30(1) 

分类号：O3 

关键词：viscoelastic   layerwise theory   transverse stress   laminated plate  

机标关键词：transverse stresslaminated plateviscoelastic materialsinterpolation functionsimply supporteddynamic responseplate thicknessfree vibrationnormal stressmaximum valuemodulus of 

基金项目：国家自然科学基金