结构随机响应及其动力可靠度计算与分析

发布时间：2018-01-08 05:11

本文关键词：结构随机响应及其动力可靠度计算与分析　出处：《长沙理工大学》2015年硕士论文　论文类型：学位论文

【摘要】：目前,随机振动下的结构动力可靠性分析仍然是摆在学者们面前急需解决的一大难题。本文在总结前人的研究成果基础上,对随机激励下单自由结构的动力响应及基于首超破坏机制的结构动力可靠性进行了计算与分析。主要工作和结论如下:1.本文对随机过程进行了详细的阐述,其中包括随机过程的统计数值,以及随机过程的分类。2.对单自由度结构在平稳和非平稳随机激励下的结构响应进行了分析,在Matlab软件的帮助下,对某工程单自由结构体系在Kanai-Tajimi地震动模型激励下的随机响应进行了分析。3.对结构动力可靠性进行了深入地研究。明确阐述了结构的四种破坏准则和两种破坏机制。通过设定不同的高斯白噪声激励时间以及不同的安全界限条件,分别采用泊松过程法、马尔可夫过程法、瑞利分布法以及极值分布法,求解了某一单自由度结构体系的结构动力可靠度,并通过Matlab软件编制了计算结构动力可靠度的相关程序。4.通过四种方法对算例的计算与分析,论文得出了基于变形破坏准则和首超破坏机制下的一单自由度结构动力可靠度,并总结了四种方法求解结构动力可靠性存在的异同。
[Abstract]:At present, the structure dynamic reliability analysis under random vibration is still a big problem to solve in urgent need of scholars before. Based on the summary of previous research results, the random dynamic response of single freedom structure and dynamic mechanism of the first ultra structural damage reliability was calculated and analyzed based on the main work and. The conclusions are as follows: 1. this paper expatiates on the stochastic process, including numerical statistics of stochastic processes, and the classification of.2. stochastic process of single degree of freedom structure response in stationary and non-stationary random excitation structure analysis, with the help of Matlab software, the system structure of a single free engineering at random the response model under the excitation of Kanai-Tajimi vibration was analyzed by.3. conducted in-depth study on the structural dynamic reliability. A clear explanation of four failure criteria and two kinds of structure The failure mechanism. By setting different Gauss white noise excitation time and different safety limit conditions, using Poisson process method, Markov process method, Rayleigh distribution method and the method of extreme value distribution, for a single degree of freedom structure dynamic reliability of the structural system, and through the Matlab software to calculate the structural dynamic reliability.4. program through the four methods of calculation and analysis of examples, this paper conclude that the deformation failure criterion and the first excursion failure for a single degree of freedom structure dynamic reliability based on mechanism, and summarizes the similarities and differences of the four methods for solving structural dynamic reliability.

【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU311.3

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