摘要
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。
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.
出处
《计算力学学报》
CAS
CSCD
北大核心
2016年第5期802-806,共5页
Chinese Journal of Computational Mechanics
基金
中国工程物理研究院总体工程研究所创新与发展基金(13cxj35)资助项目
关键词
谱元法
空间刚架
固有频率
谐响应
瞬态响应
spectral element method
space frame structure
natural frequencies
harmonic response
transient response
