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弹性地基上加肋斜板自由振动频率的数值解
Numerical solution for free vibration frequency of stiffened skew plate on elastic foundation
投稿时间:2017-09-15  修订日期:2017-10-26
DOI:
中文关键词:  Winkler弹性地基  无网格法  自由振动  加肋斜板
英文关键词:Winkler elastic foundation  meshfree method  free vibration  stiffened skew plate
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)
作者单位E-mail
吴宇 广西大学土木建筑工程学院 395937471@qq.com 
吴天文 广西大学  
覃霞 广西大学  
彭林欣 广西大学 penglx@gxu.edu.cn 
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中文摘要:
      为了实际地基工程中的经济效益和提供技术指标参考,本文应用无网格法计算加肋斜板在地基上的自由振动行为,应用移动最小二乘近似和一阶剪切变形原理描述加肋斜板的位移场,分别建立斜板与肋条的势能泛函,使用Winkler弹性地基模型处理加肋板与地基之间的接触势能。通过斜板与肋条的位移协调关系寻找斜板和肋条节点参数转换公式,确立加肋斜板的自由振动控制方程。本文运用了无网格法的优势,即使肋条位置改变也不需重置网格。通过本文解和有限元解作算例对比,验证本文方法的有效性和精确性。
英文摘要:
      Meshfree method was used to calculate the free vibration behaviors of a ribbed skew plate on foundation for the economic and technology index of practical foundation engineering. Displacement field of the skew plate was depicted by the moving-least square approximation and the first-order shear deformation theory, and then potential energy functional was established. The contact potential energy between the ribbed plate and foundation was simulated by Winkler elastic foundation module. The nodal parameter transformation equation was established according to the displacement compatible condition between the plate and ribs, and the governing equation for free vibration of stiffened skew plate on elastic foundation was founded. Position change of ribs would not reset the meshes because of the advantages of the proposed method, and the cost of calculation was reduced. The proposed method was verified by comparing results with those from the finite element method.
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