Free vibration analysis of non-homogeneous orthotropic plates resting on Pasternak elastic foundation by Rayleigh-Ritz method

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• 作者：Ahmad Rahbar-Ranji ; Arash Shahbaztabar
• 关键词：free vibration ; non ; homogeneous orthotropic plate ; Pasternak foundation ; Rayleigh ; Ritz method ; Gram ; Schmidt procedure
• 刊名：Journal of Central South University
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：23
• 期：2
• 页码：413-420
• 全文大小：592 KB
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• 作者单位：Ahmad Rahbar-Ranji (1)
  Arash Shahbaztabar (1)
  
  1. Department of Ocean Engineering, AmirKabir University of Technology, Hafez Ave., Tehran, 15914, Iran
  
• 刊物类别：Engineering
• 刊物主题：Engineering, general
  Metallic Materials
  Chinese Library of Science
  
• 出版者：Central South University, co-published with Springer
• ISSN：2227-5223

文摘

Free vibration analysis of non-homogeneous orthotropic plates resting on a Pasternak type of elastic foundation is investigated. A set of admissible orthogonal polynomials are generated with Gram-Schmidt orthogonalization procedure and adopted in the Rayleigh-Ritz method. Accuracy and applicability of the method are examined by comparison of the results for different boundary conditions and material types with those available in literature. It is found that this method has good accuracy regardless of type of boundary condition and yields very accurate results even with low number of terms of orthogonal polynomials for the first mode of vibration. For higher modes of vibration, higher terms of orthogonal polynomials should be used. The effects of foundation parameter, density and non-homogeneity parameters on natural frequency are examined. It is concluded that natural frequency of plates are more sensitive to shearing layer coefficient rather than Winkler coefficient and density parameter has weakening effect on natural frequency. Keywords free vibration non-homogeneous orthotropic plate Pasternak foundation Rayleigh-Ritz method Gram-Schmidt procedure