带有参数非确定性的单层厂房结构的地震响应
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摘要
将材料参数非确定性和输入外荷载非确定性等的影响用结构的自振圆频率和响应的屈服位移的非确定性来表征 ,采用Monte Carlo模拟方法对自振圆频率和结构响应的屈服位移考虑为非确定性参数时结构的非线性最大位移响应、最大恢复力响应进行计算分析 ,并对结构抗力与外荷载效应的相对比值对非线性结构系统可靠指标的影响进行初步研究 .结果表明 ,非确定性参数对结构最大响应有显著影响 ,不同的非确定性对结构响应的影响程度不同 ,在非线性结构动力分析中区分各种非确定性因素的贡献是非常重要的
A study is performed on the nonlinear seismic response of structures with uncertain parameters subjected to severe seismic loads. The uncertainty of structural parameters and input loads is expressed in terms of the uncertainty of the natural frequency and yield displacement of structures. The uncertain effects on the maximum displacement response and maximum restoring force are evaluated with the Monte Carlo simulation method, and the effect of the ratio of the structural resistance to external load effect on the reliability index of nonlinear structural systems is analyzed. It is indicated that the uncertainty of parameters plays a significant role in the evaluation of maximum response, and it is also shown that different degrees of uncertainty have different effects, and that it is very important to clarify the contribution of each uncertain factor in the analysis of nonlinear dynamic responses.
A study is performed on the nonlinear seismic response of structures with uncertain parameters subjected to severe seismic loads. The uncertainty of structural parameters and input loads is expressed in terms of the uncertainty of the natural frequency and yield displacement of structures. The uncertain effects on the maximum displacement response and maximum restoring force are evaluated with the Monte Carlo simulation method, and the effect of the ratio of the structural resistance to external load effect on the reliability index of nonlinear structural systems is analyzed. It is indicated that the uncertainty of parameters plays a significant role in the evaluation of maximum response, and it is also shown that different degrees of uncertainty have different effects, and that it is very important to clarify the contribution of each uncertain factor in the analysis of nonlinear dynamic responses.
引文
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[2]ErGuoKang.Multi gaussianclosuremethodforrandomlyexcitednon linearsystems[J].IntJNonLinearMech,1997,33(2):201～214.
[3]杜成斌,赵光恒.求解非线性随机振动的一种新的加权等价线性化方法[J].工程力学,1992,9(2):12～22.
[4]MarekP .Sensitivityanalysissimulationbasedreliabilityassessmentofstructure[A].In:Shiraish,etal,eds.Structuralsafetyandreliability[C].Balkema:Rotterdam,1998.715～721.
[5]PradlwarterHJ,Schu¨ellerGI.OnadvancedMonteCarlosimulationproceduresinstochasticstructuraldynamics[J].IntJNonLinearMech,1997,32(4):735～744.
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