多维多点虚拟激励法在ANSYS中的应用
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摘要
为了进一步推广多维多点虚拟激励法在工程中的应用,以通用有限元软件ANSYS谐分析模块为平台,在结构有限元模型各支撑处激励方向上置大质量块后,直接将地震虚拟激励荷载施加于大质量块上,运用绝对位移直接求解运动方程。与传统虚拟激励法相比,该法不必将绝对位移分解为拟静力位移项和动力相对位移项,避免了求解静力影响矩阵的繁琐,能更高效地实现多自由度大跨结构多维多点虚拟激励荷载在通用有限元软件中的输入与分析,而且不需要编制专门的计算程序,使得工程师更容易接受和运用。
In order to promote the application of multi-dimensional and multi-support pseudo excitation method in engineering,based on general-purpose finite element software ANSYS harmonic analysis module as a platform,a large mass subjected to pseudo excitation load was put on structure support and it was conducted to directly solve the equations of motion by absolute displacement method.Compared to traditional pseudo excitation method of multi-dimensional and multi-support,directly solving method through absolute displacement does not decompose the absolute displacement into quasi-static and dynamic relative displacement items,avoids solving the static influence matrix,more efficiently realizes the multiple degree of freedom input and analysis of pseudo excitation load in the finite element software,and does not require special preparation,it will be easier for engineers to accept and use.
In order to promote the application of multi-dimensional and multi-support pseudo excitation method in engineering,based on general-purpose finite element software ANSYS harmonic analysis module as a platform,a large mass subjected to pseudo excitation load was put on structure support and it was conducted to directly solve the equations of motion by absolute displacement method.Compared to traditional pseudo excitation method of multi-dimensional and multi-support,directly solving method through absolute displacement does not decompose the absolute displacement into quasi-static and dynamic relative displacement items,avoids solving the static influence matrix,more efficiently realizes the multiple degree of freedom input and analysis of pseudo excitation load in the finite element software,and does not require special preparation,it will be easier for engineers to accept and use.
引文
[1]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2006.LIN Jiahao,ZHANG Yahui.Pseudo excitation method for random vibration[M].Beijing:Science Press,2006.(in Chinese)
[2]Ernesto H Z,Vanmarcke E H.Seismic random vibration analysis of multi-support structural systems[J].Journal of Engineering Mechanics,ASCE,1994,120(5):1107-1128.
[3]Kiureghian A D,Neuenhofer A.A discussion on‘seismic random vibration analysis of multi-support structural system’[J].Journal of Engineer-ing Mechanics,ASCE,1995,121(9):1037.
[4]Ernesto H Z,Vanmarcke E H.Closure on the discussion[J].Journal of Engineering Mechanics,ASCE,1995,121(1):1025-1038.
[5]赵灿晖,周志祥.多分量多点平稳随机地震响应的快速算法[J].西南交通大学学报,2007,42(1):55-60.ZHAO Canhui,ZHOU Zhixiang.Fast algorithm for stationary stochastic response subjected to multi-component multi-support seismic excitation[J].Journal of Southwest Jiaotong University,2007,42(1):55-60.(in Chinese)
[6]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.DING Yang,LIN Wei,LI Zhongxian.Non-stationary random seismic analysis of long-span spatial structures under multi-support and multi-dimen-sional earthquake excitations[J].Engineering Mechanics,2007,24(3):97-103.(in Chinese)
[7]曹资,薛素铎.空间结构抗震理论与设计[M].北京:科学出版社,2006.CAO Zi,XUE Suduo.Seismic analysis and design of spatial structures[M].Beijing:Science Press,2006.(in Chinese)
[8]江洋,石永久,王元清.实用多点输入虚拟激励法在通用有限元软件中的实现[J].地震工程与工程振动,2010,30(1):46-52.JIANG Yang,SHI Yongjiu,WANG Yuanqing.Practical multi-input pseudo-excitation method in general-purpose finite element software implemen-tation[J].Journal of Earthquake Engineering and Engineering Vibration,2010,30(1):46-52.(in Chinese)
[9]石永久,江洋,王元清.直接求解法在结构多点输入地震响应计算中的应用与改进[J].工程力学,2011,28(1):75-81.SHI Yongjiu,JIANG Yang,WANG Yuanqing.Application and improvement of direct solving method in seismic response analysis of structures un-der multi-support excitations[J].Engineering Mechanics,2011,28(1):75-81.(in Chinese)
[10]李永华,李思明.绝对位移直接求解的虚拟激励法[J].振动与冲击,2009,28(10):185-190.LI Yonghua,LI Siming.Absolute displacement directly solve of the pseudo-excitation method[J].Vibration and Shock,2009,28(10):185-190.(in Chinese)
[11]屈铁军,王君杰.王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.QU Tiejun,WANG Junjie,WANG Qianxin.Practical PSD ground motion model with spatial effect[J].Journal of Earthquake,1996,18(1):55-62.(in Chinese)
[2]Ernesto H Z,Vanmarcke E H.Seismic random vibration analysis of multi-support structural systems[J].Journal of Engineering Mechanics,ASCE,1994,120(5):1107-1128.
[3]Kiureghian A D,Neuenhofer A.A discussion on‘seismic random vibration analysis of multi-support structural system’[J].Journal of Engineer-ing Mechanics,ASCE,1995,121(9):1037.
[4]Ernesto H Z,Vanmarcke E H.Closure on the discussion[J].Journal of Engineering Mechanics,ASCE,1995,121(1):1025-1038.
[5]赵灿晖,周志祥.多分量多点平稳随机地震响应的快速算法[J].西南交通大学学报,2007,42(1):55-60.ZHAO Canhui,ZHOU Zhixiang.Fast algorithm for stationary stochastic response subjected to multi-component multi-support seismic excitation[J].Journal of Southwest Jiaotong University,2007,42(1):55-60.(in Chinese)
[6]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.DING Yang,LIN Wei,LI Zhongxian.Non-stationary random seismic analysis of long-span spatial structures under multi-support and multi-dimen-sional earthquake excitations[J].Engineering Mechanics,2007,24(3):97-103.(in Chinese)
[7]曹资,薛素铎.空间结构抗震理论与设计[M].北京:科学出版社,2006.CAO Zi,XUE Suduo.Seismic analysis and design of spatial structures[M].Beijing:Science Press,2006.(in Chinese)
[8]江洋,石永久,王元清.实用多点输入虚拟激励法在通用有限元软件中的实现[J].地震工程与工程振动,2010,30(1):46-52.JIANG Yang,SHI Yongjiu,WANG Yuanqing.Practical multi-input pseudo-excitation method in general-purpose finite element software implemen-tation[J].Journal of Earthquake Engineering and Engineering Vibration,2010,30(1):46-52.(in Chinese)
[9]石永久,江洋,王元清.直接求解法在结构多点输入地震响应计算中的应用与改进[J].工程力学,2011,28(1):75-81.SHI Yongjiu,JIANG Yang,WANG Yuanqing.Application and improvement of direct solving method in seismic response analysis of structures un-der multi-support excitations[J].Engineering Mechanics,2011,28(1):75-81.(in Chinese)
[10]李永华,李思明.绝对位移直接求解的虚拟激励法[J].振动与冲击,2009,28(10):185-190.LI Yonghua,LI Siming.Absolute displacement directly solve of the pseudo-excitation method[J].Vibration and Shock,2009,28(10):185-190.(in Chinese)
[11]屈铁军,王君杰.王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.QU Tiejun,WANG Junjie,WANG Qianxin.Practical PSD ground motion model with spatial effect[J].Journal of Earthquake,1996,18(1):55-62.(in Chinese)
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