基于谱元法的空间刚架动力学特性分析

以空间刚架结构为研究对象,应用谱元法研究其动力学特性,依次推导出杆、轴和铁木辛柯梁的动力学刚度阵,进而得到空间刚架的动力学刚度阵和频域响应的理论方程,拓展了谱元法应用范围。编程计算获得空间刚架的固有频率和点的谐响应曲线,与有限元分析相比较,进一步得到载荷下的瞬态响应。研究表明,谱元法在刚架结构的动力学特性分析中,比有限元方法高效高精度,更适宜解决中高频振动问题。

Dynamics characteristic analysis of space frame structure based on spectral element method

Treating space frame structure as research object,spectral element method (SEM) was applied to analyze dynamics characteristics.We could derive dynamic stiffness matrices of bar,shift and Timoshenko-beam.And then,dynamic stiffness matrix of space frame structure and theory formula of frequency domain response were established.The application field of SEM was expanded.Based on programming and computing,natural frequencies of space frame and harmonic response of any point were calculated and compared with the result of FEM.Transient responses were further calculated with load.In the frame structure dynamics analysis,research shows SEM is more accurate and effective than FEM,and is better suited to solve the problem of high-frequency vibrations.