基于有限元的结构可靠性分析与设计
发布时间：2018-08-22 11:06
【摘要】：随着科学技术的发展,传统的安全系数设计方法已经不能满足要求,以概率论和数理统计为基础的现代可靠性设计方法成为取代传统机械方法一种发展的趋势。 由于实际机械的复杂性,在进行可靠性设计时,采用随机有限元分析方法与可靠性理论相结合,能有效的计算出结构的失效概率和可靠度。弥补传统设计方法的不足之处。本文简要介绍了基于随机有限元法的结构可靠性设计方法,并利用有限元分析软件中的概率设计模块对龙门起重机的主梁进行了可靠性分析。 论文首先在深入研究国内外有关文献资料的基础上,概述了国内外现代可靠性的研究的历史和现状、存在的问题以及可靠性设计的基本内容,然后,介绍了可靠性分析的基本方法,有随机抽样法、解析法、混合法和随机有限元法。其中解析法又包括直接积分法、一次二阶矩法、响应面法和改进均值法。并总结了各种方法的特点、缺陷以及适用情况等。重点介绍了随机有限元法,随机场的表示方法及其可靠度的相关内容,为后面的基于有基于有限元的可靠性分析过程打下了理论基础。 最后,在实际工程应用方面,论文从起重机金属结构的安全性评价出发,结合前面研究的可靠性分析方法和理论,在充分考虑起重机工作期间各种不确定因素的基础上,利用基于蒙特卡洛法和有限元技术对100t龙门起重机的主梁进行了可靠性分析和探讨,证实了利用ANSYS中的概率设计模块对结构进行可靠性分析的可行性和实用性。
[Abstract]:With the development of science and technology, the traditional design method of safety factor can not meet the requirements. The modern reliability design method based on probability theory and mathematical statistics has become a trend to replace the traditional mechanical method. Because of the complexity of the actual machinery, the failure probability and reliability of the structure can be effectively calculated by combining the stochastic finite element analysis method with the reliability theory in the reliability design. To make up for the shortcomings of traditional design methods. This paper briefly introduces the reliability design method of structure based on stochastic finite element method, and makes use of the probability design module of finite element analysis software to analyze the reliability of the main girder of gantry crane. Firstly, on the basis of deeply studying the relevant literature at home and abroad, this paper summarizes the history and present situation of modern reliability research at home and abroad, the existing problems and the basic contents of reliability design. This paper introduces the basic methods of reliability analysis, including random sampling method, analytical method, mixed method and stochastic finite element method. The analytical method includes the direct integration method, the first order second moment method, the response surface method and the improved mean method. The characteristics, defects and application of various methods are summarized. This paper mainly introduces the stochastic finite element method, the representation method of random field and the related contents of its reliability, which lays a theoretical foundation for the process of reliability analysis based on finite element method. Finally, in the practical engineering application, the paper starts from the safety evaluation of the crane metal structure, combines the reliability analysis method and theory of the previous research, on the basis of fully considering all kinds of uncertain factors during the crane work. The reliability analysis and discussion of the main girder of 100t gantry crane based on Monte Carlo method and finite element technique are carried out, and the feasibility and practicability of using probability design module in ANSYS to analyze the reliability of the structure are proved.
【学位授予单位】：武汉理工大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH122;TB114.3
本文编号：2196908
[Abstract]:With the development of science and technology, the traditional design method of safety factor can not meet the requirements. The modern reliability design method based on probability theory and mathematical statistics has become a trend to replace the traditional mechanical method. Because of the complexity of the actual machinery, the failure probability and reliability of the structure can be effectively calculated by combining the stochastic finite element analysis method with the reliability theory in the reliability design. To make up for the shortcomings of traditional design methods. This paper briefly introduces the reliability design method of structure based on stochastic finite element method, and makes use of the probability design module of finite element analysis software to analyze the reliability of the main girder of gantry crane. Firstly, on the basis of deeply studying the relevant literature at home and abroad, this paper summarizes the history and present situation of modern reliability research at home and abroad, the existing problems and the basic contents of reliability design. This paper introduces the basic methods of reliability analysis, including random sampling method, analytical method, mixed method and stochastic finite element method. The analytical method includes the direct integration method, the first order second moment method, the response surface method and the improved mean method. The characteristics, defects and application of various methods are summarized. This paper mainly introduces the stochastic finite element method, the representation method of random field and the related contents of its reliability, which lays a theoretical foundation for the process of reliability analysis based on finite element method. Finally, in the practical engineering application, the paper starts from the safety evaluation of the crane metal structure, combines the reliability analysis method and theory of the previous research, on the basis of fully considering all kinds of uncertain factors during the crane work. The reliability analysis and discussion of the main girder of 100t gantry crane based on Monte Carlo method and finite element technique are carried out, and the feasibility and practicability of using probability design module in ANSYS to analyze the reliability of the structure are proved.
【学位授予单位】：武汉理工大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH122;TB114.3
【引证文献】
相关硕士学位论文 前3条
1 刘祥伟;造船起重机金属结构安全性评估方法研究[D];武汉理工大学;2012年
2 易振友;大型库区常年回水区架空直立式码头结构的可靠度分析[D];重庆交通大学;2012年
3 皮之送;螺纹联接可靠性设计及其拧紧工艺研究[D];武汉理工大学;2012年
，本文编号：2196908
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