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基于修正变分法开孔板和加强板结构的自由振动分析
投稿时间:2016-12-11  修订日期:2017-01-05  点此下载全文
引用本文:袁国清,俞瑜,王宗龙,李宁,蔡佑林,孙驰.基于修正变分法开孔板和加强板结构的自由振动分析[J].计算机辅助工程,2017,26(2):56-62.
作者单位E-mail
袁国清 中国船舶及海洋工程设计研究院 喷水推进技术重点实验室 yuan_weizhao@163.com 
俞瑜 中国船舶及海洋工程设计研究院 喷水推进技术重点实验室  
王宗龙 中国船舶及海洋工程设计研究院 喷水推进技术重点实验室  
李宁 中国船舶及海洋工程设计研究院 喷水推进技术重点实验室  
蔡佑林 中国船舶及海洋工程设计研究院 喷水推进技术重点实验室  
孙驰 中国船舶及海洋工程设计研究院 喷水推进技术重点实验室  
中文摘要:为研究船舶开孔板和加强板结构的振动特性,用1阶剪切变形板理论描述各向同性板的位移场,并采用修正变分原理和区域分解方法建立板的离散动力学模型.每一块子域板的位移和转角分量通过第一类切比雪夫正交多项式展开.针对加强板模型,将该方法获得的结果与已经发表的文献和有限元商用软件计算结果进行对比,验证该方法的收敛性和正确性.基于修正变分法探讨多种开孔和加强板模型的自由振动特性,充分说明该数理模型和半解析方法是一种适合处理复杂板结构问题的数值工具.
中文关键词:船舶; 开孔板; 加强板; 自由振动; 修正变分法  1阶剪切变形板理论; 区域分解方法  第一类切比雪夫正交多项式
 
Free vibration analysis on structures of plates with hole reinforcement plates based on modified variational method
Abstract:To study the vibration characteristics of structures of plates with hole and reinforcement plates in ships, the first order shear deformable plate theory is used to describe the displacement fields of isotropic plates, and a discretized dynamics model is built for a plate by a modified variational principle combined with multi segment partitioning procedure. The displacement and rotation components of each plate segment are expanded by Chebyshev orthogonal polynomials of first kind. As to the reinforcement plate model, the results obtained by the method are compared with the data in published references and the results calculated by commercial finite element software, and the convergence and accuracy of this method are validated. Based on the modified variational method, the free vibration characteristics of various plate with holes and reinforcement plates are discussed. The results indicate that the mathematical model and the semi analytical method may be used as appropriate numerical tools in the analysis and design of complicated plate structures.
keywords:ship  plate with hole  reinforcement plate  free vibration  modified variational method  first order shear deformable plate theory  multi segment partitioning procedure  Chebyshev orthogonal polynomials of first kind
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