基于改进模拟退火算法的建筑结构抗震优化设计
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摘要
针对"大震不倒"的抗震设防目标,提出一种在强震作用下建筑结构的优化设计方法.依据"用相同的投资获最好的设计"的设计理念,建立以建筑结构最大的层间位移最小化作为优化目标,同时满足体积约束的优化数学模型.采用动力有限元分析模型和高效的显式动力分析方法对强烈地震波作用下的结构进行分析,获得最大的层间位移;采用改进的模拟退火算法求解优化数学模型,设计了一种产生可行解的状态发生器,由该状态发生器产生的新状态均满足所有的约束条件;在显式动力分析软件ANSYS/LS-DYNA的基础上进行二次开发,实现了一个三维框架结构的抗震优化设计.数值算例表明,该方法能获得较高质量的解,具有现实的工程意义.
This paper presents an optimal design method for building structures subject to the severe earthquake loads to aim at the third level seismic fortification target,i.e.,not collapse in the severe earthquake conditions.According to design concept,get the best design with same cost,the optimization mathematics model is established.The optimal objective is to minimize the maximal inter-storey drift of the building structures under the severe earthquake loads,and to satisfy the structural volume constraint.The optimization model is solved using the improved simulated annealing algorithm.The state producer is designed for producing feasible solution.The new state produced by the state producer can satisfy all the constraints.Therefore,the constraints are handled efficiently.The seismic optimal design of a spatial frame is demonstrated by second exploitation based on the explicit dynamic analysis soft,ANSYS/LS-DYNA.The results indicate the design method can obtain high quality seismic designs.Therefore,the optimal design method proposed in this paper can be used in the practical engineering.
This paper presents an optimal design method for building structures subject to the severe earthquake loads to aim at the third level seismic fortification target,i.e.,not collapse in the severe earthquake conditions.According to design concept,get the best design with same cost,the optimization mathematics model is established.The optimal objective is to minimize the maximal inter-storey drift of the building structures under the severe earthquake loads,and to satisfy the structural volume constraint.The optimization model is solved using the improved simulated annealing algorithm.The state producer is designed for producing feasible solution.The new state produced by the state producer can satisfy all the constraints.Therefore,the constraints are handled efficiently.The seismic optimal design of a spatial frame is demonstrated by second exploitation based on the explicit dynamic analysis soft,ANSYS/LS-DYNA.The results indicate the design method can obtain high quality seismic designs.Therefore,the optimal design method proposed in this paper can be used in the practical engineering.
引文
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[9]王进廷,杜修力,张楚汉.瑞利阻尼介质有限元离散模型动力分析的数值稳定性[J].地震工程与工程振动,2002,22(6):18-24.
[10]包世华.高层建筑结构计算[M].北京:高等教育出版社,1991:179-208.
[11]丁彦慧,胡平,张杰.重大工程抗震设计中实际强震记录的选用研究[J].工程抗震与加固改造,2006,28(5):103-106.
[12]ZOU X K,CHAN C M.An optimal resizing technique forseismic drift design of concrete buildings subjected toresponse spectrum and time history loadings[J].Computers and Structures,2005,83:1689-1704.
[13]KALISZKY S,L G J.Optimal design of elasto-plasticstructures subjected to normal and extreme loads[J].Computers and Structures,2006,84:1770-1779.
[2]ZARGHAMEE M S.Optimum frequency of structures[J].Journal AIAA,1968,6(6):749-750.
[3]陈建军,车建文,崔明涛,等.结构动力优化设计述评与展望[J].力学进展,2001,31(2):181-192.
[4]王凌.智能优化算法及其应用[M].北京:清华大学出版社,2001:17-33.
[5]NIKOS D L,MICHALIS F,MANOLIS P.Structuraloptimization:A tool for evaluating seismic design procedures[J].Engineering Structures,2006,28:1623-1633.
[6]吴剑国,赵莉萍,王建华.工程结构混合离散变量优化的模拟退火方法[J].工程力学,1997,14(3):138-144.
[7]马海全,温卫东.含连续/离散变量结构优化中的神经网络与变尺度模拟退火方法[J].南京航空航天大学学报,2001,33(3):237-240.
[8]吴剑国,赵丽萍.工程结构优化的神经网络方法[J].计算力学学报,1998,15(1):69-74.
[9]王进廷,杜修力,张楚汉.瑞利阻尼介质有限元离散模型动力分析的数值稳定性[J].地震工程与工程振动,2002,22(6):18-24.
[10]包世华.高层建筑结构计算[M].北京:高等教育出版社,1991:179-208.
[11]丁彦慧,胡平,张杰.重大工程抗震设计中实际强震记录的选用研究[J].工程抗震与加固改造,2006,28(5):103-106.
[12]ZOU X K,CHAN C M.An optimal resizing technique forseismic drift design of concrete buildings subjected toresponse spectrum and time history loadings[J].Computers and Structures,2005,83:1689-1704.
[13]KALISZKY S,L G J.Optimal design of elasto-plasticstructures subjected to normal and extreme loads[J].Computers and Structures,2006,84:1770-1779.
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