| 谱元法在求解刚架结构动力学问题中的应用 |
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| 引用本文： | 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. |
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| 作者姓名： | 吴志静 李凤明 胡恒山 刘荣强 |
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| 作者单位： | 哈尔滨工业大学航天学院137信箱,哈尔滨 150001;哈尔滨工业大学航天学院137信箱,哈尔滨 150001;哈尔滨工业大学航天学院137信箱,哈尔滨 150001;哈尔滨工业大学机电工程学院,哈尔滨 150001 |
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| 基金项目： | 国家自然科学基金资助项目(11172084,50935002) |
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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.
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| 关 键 词： | 谱元法 刚架结构 固有频率 时域响应 |
| 收稿时间： | 8/1/2011 12:00:00 AM |
| 修稿时间： | 2011/9/17 0:00:00 |
Application of spectral element method in solving dynamic problems of frame structures |
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| Wu Zhijing,Li Fengming,Hu Hengshan and 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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| Authors: | Wu Zhijing Li Fengming Hu Hengshan and Liu Rongqiang |
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| Affiliation: | Wu Zhijing Li Fengming Hu Hengshan Liu Rongqiang ( 1. P. O. Box 137,School of Astronautics,Harbin Institute of Technology,Harbin 150001,China ) ( 2. School of Mechanical and Electrical Engineering,Harbin Institute of Technology,Harbin 150001,China ) |
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| 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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| Keywords: | spectral element method frame structure natural frequency time domain response |
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