基于零阶和一阶优化算法的建筑结构抗震优化设计
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摘要
针对第三水准"大震不倒"的抗震设防目标,提出一种建筑结构的抗震优化设计方法,依据"用相同的投资获最好的设计"的设计理念,建立了在强烈地震波的作用下,以建筑结构最大的层间相对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,并采用动力有限元分析模型和高效的显式动力分析方法进行结构分析获得最大的层间相对位移,采用零阶和一阶优化算法分别求解优化数学模型,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,数值结果表明该方法能获得较高质量的解,经优化设计后建筑结构的抗震性能得到了很大的改善。
In this paper, an optimal design method for building structures under severe earthquake loadings is proposed by aiming at the third level seismic fortification target " not collapse under severe earthquake". According to the design concept of "get the best design with the same cost", the optimization mathematical model was established. The optimal objective is to minimize the maximal inter-story drift of building structures under severe earthquake loadings, and at the same time to satisfy constraints on structural volumes and member sizes. The optimization mathematical model was solved using the zero and first order optimization algorithms. Finally the seismic optimal design of a space frame was demonstrated by using the second exploitation program based on the explicit dynamic analysis software ANSYS/LS -DYNA. The results show that the design method can obtain high quality seismic design results, and the antiseismic capability of the building structure is improved evidently. Therefore this optimal design method can be used in practical engineering.
In this paper, an optimal design method for building structures under severe earthquake loadings is proposed by aiming at the third level seismic fortification target " not collapse under severe earthquake". According to the design concept of "get the best design with the same cost", the optimization mathematical model was established. The optimal objective is to minimize the maximal inter-story drift of building structures under severe earthquake loadings, and at the same time to satisfy constraints on structural volumes and member sizes. The optimization mathematical model was solved using the zero and first order optimization algorithms. Finally the seismic optimal design of a space frame was demonstrated by using the second exploitation program based on the explicit dynamic analysis software ANSYS/LS -DYNA. The results show that the design method can obtain high quality seismic design results, and the antiseismic capability of the building structure is improved evidently. Therefore this optimal design method can be used in practical engineering.
引文
[1]Bogomolni M.,Kirsch U.,Sheinman I..Efficient design sensitivities of structure subjected to dynamic loading[J].International Journal of Solids and Structures,2006,43:5485-5500.
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[5]Nikos D.Lagaros,Michalis Fragiadakis,Manolis Papadrakakisa.Structural optimization:A tool for evaluating seismic design procedures[J].Engineering Structures,2006,28:1623-1633.
[6]GB50011-2001,建筑抗震设计规范[S].
[7]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.
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[9]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+67.
[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.Lagaros,Michalis Fragiadakis,Manolis Papadrakakisa.Structural optimization:A tool for evaluating seismic design procedures[J].Engineering Structures,2006,28:1623-1633.
[6]GB50011-2001,建筑抗震设计规范[S].
[7]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.
[8]包世华.高层建筑结构计算[M].北京:高等教育出版社,1991:179-208.
[9]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+67.
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