参数随机结构的动态响应分析
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摘要
针对精细时程积分法在大型结构地震响应中的分析,提出了扩阶方法以及状态方程精细时程积分法的结合,编制了程序;用该方法对高层框架结构受地震荷载作用下的响应进行了计算,计算结果表明,考虑参数随机对框架结构动态响应有显著影响;计算结果同Monte-Carlo法的结果进行了比较,前者计算效率较高,适用于工程计算.图9,参8.
To aim at application of precise time integration method in earthquake response analysis of large-scale structures, the new methods was presented that included expanded order system method and direct integration method of state equation. The program was developed and used to analyze the response of frame structures driven by earthquake. Numerical results indicate that uncertain physical parameters influence response deeply. The results of comparison between the new method and Monte-Carlo method show that the former has high efficiency, and adapt to operation of engineering. 9figs, 8refs.
To aim at application of precise time integration method in earthquake response analysis of large-scale structures, the new methods was presented that included expanded order system method and direct integration method of state equation. The program was developed and used to analyze the response of frame structures driven by earthquake. Numerical results indicate that uncertain physical parameters influence response deeply. The results of comparison between the new method and Monte-Carlo method show that the former has high efficiency, and adapt to operation of engineering. 9figs, 8refs.
引文
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[5]李杰.随机结构系统——分析与建模[M].北京:科学出版社,1996.LI Jie.Stochastic Structure Systems:Analysis and Modeling[M].Beijing:Science Press,1996.
[6]李杰.随机结构正交分解分析方法[J].振动工程学报,1999,12(1):78-84.LI Jie.Research Development for the Orthogonal Expansion Method of Stochastic Structural Analysis[J].Journal of Vibration Engineering,1999,12(1):78-84.
[7]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136.ZHONG Wan-xie.The Precise Time-Integration Method of Structural dDynamics Systems[J].Journal of Dalian University of technology,1994,34(2):131-136.
[8]张森文,曹开彬.计算结构动力响应的状态方程直接积分法[J].计算力学学报,2000,17(1):94-97.ZHANG Sen-wen,CAO Kai-bin.Direct Integration of State Equation Method for Dynamic Response of Structure[J].Chinese Journal of Computational Mechanics,2002,17(1):94-97.
[2]李杰,李建华.多点激励下结构随机地震反应分析[J].地震工程与工程振动,2004,24(3):21-29.LI Jie,LI Jian-hua.A Response Spectrum Method for Random Vibration Analysis of Structures under Multi-Support Excitations[J].Earthquake Engineering and Engineering Vibration,2004,24(3):21-29.
[3]李杰.混凝土随机损伤力学的初步研究[J].同济大学学报(自然科学版),2004,32(10):1270-1277.LI Jie.Research on the Stochastic Damage Mechanics for Concrete Materials and Structures[J].Journal of Tongji University(Natural Science),2004,32(10):1270-1277.
[4]BARBATO M,ZONA ALESSANDRO,CONTE J P.Finite Element Response Sensitivity Analysis Using Three-Field Mixed Formulation:General Theory and Application to Frame Structures[J].International Journal for Numerical Methods in Engineering,2007,69(1):114-161.
[5]李杰.随机结构系统——分析与建模[M].北京:科学出版社,1996.LI Jie.Stochastic Structure Systems:Analysis and Modeling[M].Beijing:Science Press,1996.
[6]李杰.随机结构正交分解分析方法[J].振动工程学报,1999,12(1):78-84.LI Jie.Research Development for the Orthogonal Expansion Method of Stochastic Structural Analysis[J].Journal of Vibration Engineering,1999,12(1):78-84.
[7]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136.ZHONG Wan-xie.The Precise Time-Integration Method of Structural dDynamics Systems[J].Journal of Dalian University of technology,1994,34(2):131-136.
[8]张森文,曹开彬.计算结构动力响应的状态方程直接积分法[J].计算力学学报,2000,17(1):94-97.ZHANG Sen-wen,CAO Kai-bin.Direct Integration of State Equation Method for Dynamic Response of Structure[J].Chinese Journal of Computational Mechanics,2002,17(1):94-97.
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