Dynamic response analysis of a thin rectangular plate of varying thickness to a traveling inertial load

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• 作者：Taher Ghazvini ; Ali Nikkhoo ; Hamed Allahyari…
• 关键词：OPSEM ; Thin rectangular plate ; Transverse vibration ; Non ; uniform thickness ; Moving mass
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：38
• 期：2
• 页码：403-411
• 全文大小：1,633 KB
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• 作者单位：Taher Ghazvini (1)
  Ali Nikkhoo (2)
  Hamed Allahyari (1)
  Majid Zalpuli (3)
  
  1. Department of Civil Engineering, Babol University of Technology, Babol, Iran
  2. Department of Civil Engineering, University of Science and Culture, Tehran, Iran
  3. Department of Civil Engineering, Islamic Azad University Chaloos Branch, Chaloos, Iran
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

In this article, a new generalization of the orthonormal polynomial series expansion method is introduced as a robust computational approach to assess the transverse vibration of a 2-D distributed parameter system. A thin rectangular plate of non-uniform thickness is considered, for which the natural frequencies and dynamic response to a lumped moving mass are computed. Verification is presented via analytical solution and excellent agreement is achieved. Some benchmark solutions are obtained for the dynamics of non-uniform plates under moving loads. Also, the similarity of the presented solution with eigenfunction expansion method in the contribution of the mode shapes is underlined.