地震响应的凸集分析*
Convex-Model Analysis of the Seismic Response
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摘要: 本文提出了一种用于表示地震动不确定性的椭球傅立叶界限凸集模型．从数学上严格推出了这种模型对单自由度系统的最坏响应．并给出了模型参数的几种选取方法．通过合理地选取模型界限参数,将椭球傅立叶界限凸集模型与模拟的地震波结果进行比较,证实了基于标准地震波的抗震设计的危险性．Abstract: In ellipsoidal Fourier-bound convex model(EFB model) is proposed in the present paper to express the uncertainty of seismic excitation,and several methods of selecting parameters of the model are explained.An analytical expression is obtained for the worst response of the sigle-degree-of-freedom(SDOF) system with the EFB model.A numerical simulation shows that the traditionol prediction of maximum response can yield the value substantially lower than that predicted by the EFB model.This means that lhe traditional designing method bosed on standard seismic inputsmay lead to unsafe desikn decisions.
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Key words:
- seismic response /
- response spectrum /
- convex set /
- extreme value
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[1] Y.Ben-Haim and I.Elishakoff Convex Models of Uncertainty in Applied Mechanics,Elsevier,Amsterdam(1990). [2] R.F.Drenick,Model-free design of seismic structures,Journal of Engineering Mechanics Division,Proceedings of the ASCE,96(1970),483-493. [3] M.Shinozuka,Maximum structural response to seismic excitations,Journal of Engineering Mechanics Division.Proceedings of the ASCE,96(1970),729-738. [4] R.F.Drenick and C.B.Yun,Reliability of seismic resistance predictions,Journal of the Structural Division,Proceedings of the ASCE,105(1979),1879-1891. [5] Y.Ben-Haim,Fatigue lifetime with load uncertainty represented by convex model,Journal of Engineering Mecilanics,ASCE,120(1994),445-462. [6] Y.Ben-Haim,Convex models of uncertainty in redial pulse buckling of shells,Journal of Applied Mechanics,ASME,60(1993),683-688. [7] P.J.Kelly and M.L.Weiss,Geometry and Convexity,A Study in Mathematical Method,Wiley,New York(1979). -
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