基于拟夹层板法的矩形网架竖向振动分析
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摘要
利用拟夹层板法对矩形正交正放类平板网架进行竖向振动分析,包括固有振动分析和竖向地震作用下的反应谱分析,并将计算结果与有限元法计算结果进行对比,表明拟夹层板法作为一种简化的计算方法,同样适用于矩形平板网架结构,且精度较高,固有振动分析的基频误差在±4%以内,竖向地震作用下反应谱分析的误差多在±10%以内,可以满足工程需要.
Equivalent sandwich plate method (ESPM) is a simplified method for double-layer space grids in which space grids structure is assumed as orthogonal and ortho-laid plate and analyzed by the theory of plate with consideration of shear deformation and three generalized displacement. However, the accuracy of ESPM used to analyze rectangular space grids needs to be further validated. In this paper the vertical vibration of rectangular orthogonal and ortho-laid space grids which includes nature vibration analysis and response spectrum analysis under vertical seismic action is analyzed by ESPM. Then the results will be further validated by finite element method (FEM). Comparing these results of two methods shows that ESPM, as a simplified method, is suitable for rectangle space grids, whose errors are in the allowed range for engineering structure. The errors of primary frequency for nature vibration analysis are all within the ±4% and for seismic internal force less than ±10%.
Equivalent sandwich plate method (ESPM) is a simplified method for double-layer space grids in which space grids structure is assumed as orthogonal and ortho-laid plate and analyzed by the theory of plate with consideration of shear deformation and three generalized displacement. However, the accuracy of ESPM used to analyze rectangular space grids needs to be further validated. In this paper the vertical vibration of rectangular orthogonal and ortho-laid space grids which includes nature vibration analysis and response spectrum analysis under vertical seismic action is analyzed by ESPM. Then the results will be further validated by finite element method (FEM). Comparing these results of two methods shows that ESPM, as a simplified method, is suitable for rectangle space grids, whose errors are in the allowed range for engineering structure. The errors of primary frequency for nature vibration analysis are all within the ±4% and for seismic internal force less than ±10%.
引文
[1]董石麟,夏亨熹.正交正放类网架结构的拟板(夹层板)分析法[J].建筑结构学报,1982(2,3):85-99.
[2]张文福.空间结构[M].北京:科学出版社,2005:44-49.
[3]白那.正放四角锥网架屋盖的固有振动与竖向地震作用研究[D].大庆:大庆石油学院,2004.
[4]张文福,刘文洋,刘迎春.网架结构拟夹层板法的有限元验证[J].计算力学学报,2005,22(4):506-510.
[5]白那,张文福.正放四角锥网架屋盖的竖向地震内力系数[J].大庆石油学院学报,2007,31(增):297-299.
[2]张文福.空间结构[M].北京:科学出版社,2005:44-49.
[3]白那.正放四角锥网架屋盖的固有振动与竖向地震作用研究[D].大庆:大庆石油学院,2004.
[4]张文福,刘文洋,刘迎春.网架结构拟夹层板法的有限元验证[J].计算力学学报,2005,22(4):506-510.
[5]白那,张文福.正放四角锥网架屋盖的竖向地震内力系数[J].大庆石油学院学报,2007,31(增):297-299.
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