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矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM)

S·A·艾佛特科哈利 A·A·贾法里

S·A·艾佛特科哈利, A·A·贾法里. 矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM)[J]. 应用数学和力学, 2012, 33(1): 76-93. doi: 10.3879/j.issn.1000-0887.2012.01.007
引用本文: S·A·艾佛特科哈利, A·A·贾法里. 矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM)[J]. 应用数学和力学, 2012, 33(1): 76-93. doi: 10.3879/j.issn.1000-0887.2012.01.007
S.A.Eftekhari, A.A.Jafari. Mixed FE-DQM for Free and Forced Vibration, and Buckling Analysis of Rectangular Plates[J]. Applied Mathematics and Mechanics, 2012, 33(1): 76-93. doi: 10.3879/j.issn.1000-0887.2012.01.007
Citation: S.A.Eftekhari, A.A.Jafari. Mixed FE-DQM for Free and Forced Vibration, and Buckling Analysis of Rectangular Plates[J]. Applied Mathematics and Mechanics, 2012, 33(1): 76-93. doi: 10.3879/j.issn.1000-0887.2012.01.007

矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM)

doi: 10.3879/j.issn.1000-0887.2012.01.007
详细信息
  • 中图分类号: O241.8; TU311.3

Mixed FE-DQM for Free and Forced Vibration, and Buckling Analysis of Rectangular Plates

  • 摘要: 首次提出有限元法(FEM)和微分求积法(DQM)的组合应用,分析矩形平板的振动和屈曲问题.混合法综合了FEM几何适应性强,以及DQM的高精度和高效率.与已有文献的计算结果比较,验证了该方法的正确性.研究表明,使用少量的有限单元和不多的DQM样本点,就可以得到高精度的结果.由于该方法简单且具备进一步发展的潜力,被认为适用于这类问题的求解.
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出版历程
  • 收稿日期:  2011-02-02
  • 修回日期:  2011-10-21
  • 刊出日期:  2012-01-15

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