本文關(guān)鍵詞：結(jié)構(gòu)可靠度分析與設(shè)計的可視化程序?qū)崿F(xiàn)　出處：《北京交通大學》2014年碩士論文　論文類型：學位論文

  更多相關(guān)文章： MATLAB GUI 可視化程序 結(jié)構(gòu)可靠度 一次二階矩法 二次二階矩法 蒙特卡洛法 Nataf變換 當量正態(tài)化

【摘要】：結(jié)構(gòu)可靠度分析需要進行復雜的運算,一般要通過計算機來完成。目前國內(nèi)用于工程結(jié)構(gòu)可靠度分析的程序存在著通用性差、功能不完善、人機交互性差等缺點,因此有必要開發(fā)通用性強、功能全面、界面友好的結(jié)構(gòu)可靠度可視化分析程序供科研工作者和工程技術(shù)人員使用。 本文在掌握了常用可靠度分析方法的基礎(chǔ)上,提出了一種估計非正態(tài)隨機變量聯(lián)合概率密度的方法,并基于MATLABGUI開發(fā)了“結(jié)構(gòu)可靠度分析與設(shè)計系統(tǒng)”(Structural Reliability Analysis and Design System,簡稱SRADS),具體工作如下： (1)針對非正態(tài)隨機變量聯(lián)合概率密度函數(shù)難以表達的問題,提出了一種利用當量正態(tài)化思路來估計聯(lián)合概率密度的方法,并將該方法應用于含有相關(guān)隨機變量的蒙特卡洛重要抽樣法； (2)基于MATLAB GUI開發(fā)了由"JC Method"(簡稱JCM)、"Mapping Transformation Method"(簡稱MTM)、" Second Order Reliability Method in Laplace Mode"(簡稱SORMLM)、"Monte Carlo Direct Sampling Method"(簡稱MCDSM)、"Monte Carlo Importance Sampling Method"(簡稱MCISM)、"Design Based On Reliability Index"(簡稱DBORI)以及"Nataf Transformation Method"(簡稱NTM)等七個子模塊構(gòu)成的“結(jié)構(gòu)可靠度分析與設(shè)計系統(tǒng)”,實現(xiàn)了一次二階矩法、二次二階矩法和蒙特卡洛模擬法范疇內(nèi)的五種可靠度分析方法以及基于目標可靠指標的結(jié)構(gòu)設(shè)計方法和Nataf變換的可視化,各子模塊的操作很簡單,并且分析結(jié)果都可以顯示在界面上； (3)利用MATLAB的I/O功能將分析結(jié)果和計算過程按照一定的格式寫入TXT文件,實現(xiàn)了用戶保存結(jié)構(gòu)可靠度分析或者基于目標可靠指標設(shè)計的“計算書”的功能； (4)通過對有關(guān)文獻中的大量例題進行分析與計算,驗證了“結(jié)構(gòu)可靠度分析與設(shè)計系統(tǒng)”和本文所提方法的有效性。
[Abstract]:Structural reliability analysis needs complex calculation, which is generally completed by computer. At present, the program used for structural reliability analysis in China has poor universality and imperfect function. Therefore, it is necessary to develop a visual analysis program for structural reliability with strong versatility, comprehensive function and friendly interface for use by researchers and engineers. On the basis of mastering the commonly used reliability analysis methods, a new method for estimating the joint probability density of non-normal random variables is proposed in this paper. The structural reliability analysis and design system is developed based on MATLABGUI (. Structural Reliability Analysis and Design System. Abbreviated as SRADS, the specific work is as follows: 1) aiming at the problem that the joint probability density function of non-normal random variables is difficult to express, a method of estimating joint probability density using equivalent normalization is proposed. The method is applied to the Monte Carlo important sampling method with correlated random variables. Based on MATLAB GUI, JC Method has been developed. "Mapping Transformation Method". "Second Order Reliability Method in Laplace Mode" (SORMLM). "Monte Carlo Direct Sampling Method". "Monte Carlo Importance Sampling Method". "Design Based on Reliability Index" And "structure reliability analysis and design system" composed of "Nataf Transformation Method" and other seven sub-modules. Five reliability analysis methods in the category of first-order second-moment method, second-order moment method and Monte Carlo simulation method, as well as the visualization of structure design based on target reliability index and Nataf transformation are realized. The operation of each sub-module is very simple, and the analysis results can be displayed on the interface; 3) using the I / O function of MATLAB to write the analysis results and the calculation process to the TXT file according to a certain format. The function of the user saving structure reliability analysis or the calculation book based on the target reliability index is realized. 4) through the analysis and calculation of a large number of examples in the relevant literature, the validity of the "structural reliability analysis and design system" and the method proposed in this paper are verified.
【學位授予單位】：北京交通大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TU311.2

【參考文獻】

相關(guān)期刊論文 前10條

1 趙國藩,李云貴;鋼筋混凝土構(gòu)件的近似概率設(shè)計法[J];四川建筑科學研究;1987年04期

2 張宗科;唐文勇;張圣坤;;在ANSYS中開發(fā)用響應面法求解結(jié)構(gòu)可靠度的專用程序[J];船舶力學;2007年01期

3 李云貴,趙國藩,張保和;廣義隨機空間內(nèi)的一次可靠度分析方法[J];大連理工大學學報;1993年S1期

4 陳安龍,于雷,鄭云龍;基于Rosenblatt變換的一階可靠度分析方法[J];大連理工大學學報;2000年06期

5 吳帥兵;李典慶;周創(chuàng)兵;;結(jié)構(gòu)可靠度分析中變量相關(guān)時三種變換方法的比較[J];工程力學;2011年05期

6 許萍,夏友明;水閘閘室抗滑穩(wěn)定可靠度校核方法探討[J];工程力學;1998年02期

7 馮云芬;貢金鑫;;建筑結(jié)構(gòu)基于可靠指標的設(shè)計方法[J];工業(yè)建筑;2011年07期

8 林道錦,梅剛,秦權(quán);非正態(tài)概率分布對一次可靠度方法精度影響[J];計算力學學報;2005年03期

9 王維虎;呂震宙;崔利杰;;概率信息不全時基于Copula理論的可靠性及基本變量重要性測度分析[J];機械強度;2012年01期

10 趙國藩;結(jié)構(gòu)可靠度的實用分析方法[J];建筑結(jié)構(gòu)學報;1984年03期

，

本文編號：1410182