谱元法在求解刚架结构动力学问题中的应用
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国家自然科学基金资助项目(11172084,50935002)


Application of spectral element method in solving dynamic problems of frame structures
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    摘要:

    把谱元法应用于刚架结构的动力学响应计算和分析中.建立了杆和梁的谱单元动力学刚度阵,针对刚架结构组装了整体动力学刚度阵,建立了整体结构的运动方程,计算了结构的固有频率和时域响应,并与采用有限元方法得到的结果进行了对比.从结果中可以看出谱元法在数值模拟中的独特优势.

    Abstract:

    The spectral element method was applied to analyze and calculate the dynamic response of frame structures. The dynamic stiffness matrices of the bar and beam elements were derived, and the dynamic stiffness matrix for the overall frame structure was assembled. The equations of motion of the overall structure were presented. The natural frequencies and time domain responses were calculated. The present method was compared with the finite element method. The results show that the spectral element method has its unique advantages in terms of numerical simulation.

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吴志静,李凤明,胡恒山,刘荣强.谱元法在求解刚架结构动力学问题中的应用[J].动力学与控制学报,2012,10(1):71~75; Wu Zhijing, Li Fengming, Hu Hengshan, Liu Rongqiang. Application of spectral element method in solving dynamic problems of frame structures[J]. Journal of Dynamics and Control,2012,10(1):71-75.

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历史
  • 收稿日期:2011-08-01
  • 最后修改日期:2011-09-17
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  • 在线发布日期: 2012-03-06
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