Dynamics Characteristic Analysis of Complex Rigid Frame Structure Considering Shear Deformation

Abstract

Abstract:

A spectral element method was used to analyze dynamics response characteristics of the complex rigid frame structure. The local dynamic stiffness matrices of straight bar and Timoshenko beam could be established, and the global dynamic stiffness matrix of the frame structures could be obtained. Comparing frame harmonic response based on spectral element method and finite element method, and calculating the natural frequencies and frequency domain results under impact load further, it shows that the spectral element method can be used effectively and accurately to analyze the dynamic response characteristics of complex frame structures, especially for the high frequency responses, and the precision and efficiency are high compared with the finite element method.

Key words: spectral element method;rigid frame structure;Timoshenko , beam model;dynamics response

摘要：

采用谱元法计算分析了复杂刚架结构的动力学响应特性，建立了直杆和Timoshenko梁的局部动力刚度阵，并组装得到了整体刚架结构的动力刚度阵。计算了刚架结构的频响曲线，并与有限元法得到的结果进行了比较，获得了刚架的固有频率和冲击载荷作用下的频域曲线。研究结果表明，谱元法可有效且准确地分析刚架结构的动力学响应特性，尤其适合中高频动态响应特性分析，与有限元方法相比，其精度高且用时短。

关键词: 谱元法, 刚架结构, Timoshenko梁模型, 动力学响应

CLC Number:

TH113

E Linzhongyang, Liu Chunchuan, Li Fengming, . Dynamics Characteristic Analysis of Complex Rigid Frame Structure Considering Shear Deformation[J]. China Mechanical Engineering, 2014, 25(14): 1922-1925.

鄂林仲阳, 刘春川, 李凤明, . 考虑剪切变形的复杂刚架结构动力学特性分析[J]. 中国机械工程, 2014, 25(14): 1922-1925.

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