大跨空间结构地震反应分析的一种高效算法
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摘要
为了提高大跨空间结构复杂结构体系地震反应分析的效率,将基于荷载的Ritz向量代替特征值向量引入反应谱分析和模态时程分析,与直接积分法和利用特征值向量进行的反应谱和模态时程方法相比,可以将计算时间降至原来的几十分之一,并且能获得较高的计算精度.该方法用于风振和结构的舒适度等其他动力分析同样能取得良好的效果.
To improve the computing effectiveness of huge spatial structures for earthquake analysis,the load- dependent Ritz vector is introduced into the mode superposition or the mode transient analysis method.The computing time of the direct integration method and the mode superposition method by using characteristic eigen vectors has been decreased by several percent.The computing accuracy can satisfy the engineering demand easily.This method can also be used in the wind vibration analysis,comfort analysis and other dynamic analysis for the structure.
To improve the computing effectiveness of huge spatial structures for earthquake analysis,the load- dependent Ritz vector is introduced into the mode superposition or the mode transient analysis method.The computing time of the direct integration method and the mode superposition method by using characteristic eigen vectors has been decreased by several percent.The computing accuracy can satisfy the engineering demand easily.This method can also be used in the wind vibration analysis,comfort analysis and other dynamic analysis for the structure.
引文
[1]曹资，薛素铎．空间结构抗震理论与设计[M]．北京：科学出版社，2005．
[2]范峰．空间网壳结构弹塑性地震响应及抗震性能分析[J]．哈尔滨建筑大学学报，1999，32(1)：32-37．FAN Feng.Investigation on dynamic response and characteristics of space shells[J].Journal of Harbin University of Civil Engineering & Architecture,1999,32(1):32-37.(in Chinese)
[3]曹资，张毅刚．单层球面网壳地震反应特征分析[J]．建筑结构，1998(8)：40-43．CAO Zi,ZHANG Yi-gang.Seismic characteristics analysis of single layer latticed dome[J].Building Structures,1998(8): 40-43.(in Chinese)
[4]WILSON E L,YUAN M,DICKENS J.Dynamic analysis by direct superposition of Ritz vectors[J].Earthquake Engineering and Structural Dynamics,1982,10:813-823.
[5]BAYO E,WILSON E L.Use of Ritz vectors in wave propagation and foundation response[J].Earthquake Engineering and Structural Dynamics,1984,12:499-505.
[6]CLOUGH R W,PENZIEN J.Dynamics of structures[M].New York:McGraw-Hill,Inc,1993.
[7]刘晶波，杜修力．结构动力学[M]．北京：机械工业出版社，2005．
[8]沈聚敏，周锡元，高小旺，等．抗震工程学[M]．北京：中国建筑工业出版社，2000．
[9]刘晶波，谷音，李彬．结构-地基开放系统动力相互作用问题的高效解法[J]．土木工程学报，2006，39(5)：112-121．LIU Jing-bo,GU Yin,LI Bin.Efficient method for wave problem of open structure-foundation system[J].China Civil Engineering Journal,2006,39(5):112-121.(in Chinese)
[10]刘晶波，王振宇，张克峰．考虑土-结构相互作用大型动力机器基础三维有限元分析[J]．工程力学，2002，19(3)：34-38．LIU Jing-bo,WANG Zhen-yu,ZHANG Ke-feng.3D finite element analysis of large dynamic machine foundation considering soil-structure interactiun[J].Engineering Mechanics,2002,19(3):34-38.(in Chinese)
[2]范峰．空间网壳结构弹塑性地震响应及抗震性能分析[J]．哈尔滨建筑大学学报，1999，32(1)：32-37．FAN Feng.Investigation on dynamic response and characteristics of space shells[J].Journal of Harbin University of Civil Engineering & Architecture,1999,32(1):32-37.(in Chinese)
[3]曹资，张毅刚．单层球面网壳地震反应特征分析[J]．建筑结构，1998(8)：40-43．CAO Zi,ZHANG Yi-gang.Seismic characteristics analysis of single layer latticed dome[J].Building Structures,1998(8): 40-43.(in Chinese)
[4]WILSON E L,YUAN M,DICKENS J.Dynamic analysis by direct superposition of Ritz vectors[J].Earthquake Engineering and Structural Dynamics,1982,10:813-823.
[5]BAYO E,WILSON E L.Use of Ritz vectors in wave propagation and foundation response[J].Earthquake Engineering and Structural Dynamics,1984,12:499-505.
[6]CLOUGH R W,PENZIEN J.Dynamics of structures[M].New York:McGraw-Hill,Inc,1993.
[7]刘晶波，杜修力．结构动力学[M]．北京：机械工业出版社，2005．
[8]沈聚敏，周锡元，高小旺，等．抗震工程学[M]．北京：中国建筑工业出版社，2000．
[9]刘晶波，谷音，李彬．结构-地基开放系统动力相互作用问题的高效解法[J]．土木工程学报，2006，39(5)：112-121．LIU Jing-bo,GU Yin,LI Bin.Efficient method for wave problem of open structure-foundation system[J].China Civil Engineering Journal,2006,39(5):112-121.(in Chinese)
[10]刘晶波，王振宇，张克峰．考虑土-结构相互作用大型动力机器基础三维有限元分析[J]．工程力学，2002，19(3)：34-38．LIU Jing-bo,WANG Zhen-yu,ZHANG Ke-feng.3D finite element analysis of large dynamic machine foundation considering soil-structure interactiun[J].Engineering Mechanics,2002,19(3):34-38.(in Chinese)
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