基于随机有限元方法的某工程装备结构可靠性分析

论文总字数：34339字

摘 要

本文立足于工程实际，选取工作于复杂工况的天线，采用随机理论与确定性有限元结合的随机有限元方法，模拟装备的实际工况，建立天线组件的有限元模型，研究天线组件在随机载荷作用情况下的结构可靠度，以满足工程对象的结构可靠性需求。

文中设计了随机有限元分析的实现方案，可以模拟装备在工作与运输两种工况下的可靠性及性能特性。以某一个天线组件——机箱作为实例，验证方案的可行性；结合项目研究需求，完成天线随机有限元分析的技术路线，提出了可行的研究思路。

相比于传统的安全系数法，本文采用结构可靠性分析技术可以定量描述结构可靠度，为后续的改进提供数据支撑。文中采用随机有限元方法，考虑载荷、材料特性等不确定因素，使得分析结果更加贴近实际工况。此外，论文分析了现有研究工作的不足，在载荷模拟、模型简化、方法选取等方面提出改进的建议或方案，为后续研究提供了可行的方向。

关键词：随机有限元法；结构可靠性；天线组件；不确定性

Reliability Analysis of a Certain Engineering Equipment Structure Based on Stochastic Finite Element Method

02611202 CHENG Longfei

Supervised by SU Chun

Abstract：The features of a certain kind of engineering equipments are complex, and the environment is changeable, the load, material properties, geometrical features and the uncertainties of the environment are important to the system performance. The traditional static structure Verification method, such as safety factor method, can not be adapted to the uncertain demand.

Based on engineering practice, the paper selects the antenna working in the complex conditions, uses stochastic finite element method combined random theory and deterministic finite element method, simulates actual working conditions and establishes the finite element model of the antenna components in order to study the structural reliability of the antenna components under random loads, to meet engineer objects’ demands.

The paper designs the implementation plan of the stochastic finite element analysis, and this plan can simulates the equipment’s reliability and performance under work and transportation conditions. We selects an antenna component –chassis as an example to verify the feasibility of the plan; combined with research need of the project, we complete the technical route of the antenna stochastic finite element analysis, and put forward the feasible research plans.

Compared to the traditional safety factor method, the structural reliability analysis can quantitatively descript structural reliability, and provide supporting data for subsequent improvements; the analysis result is more close to the actual working conditions, using the stochastic finite element and considering load, material properties and other uncertain factors. In addition, the paper analyzes the shortcomings of the existing research, and puts forward suggestions or solutions for improving the load simulation, the simplification of the model, and the selection of the method and so on, and provides the direction for the following research.

Key words: Stochastic finite element method；Structural reliability；Antenna component；Uncertainty

目 录

1绪论…………………………………………………………………..........……………1

1.1研究背景与意义……………………………………………………………………………1

1.2结构可靠性与随机有限元分析研究现状…………………………………………………2

1.3 关键问题及其研究思路…………………………………………………………………4

1.4 研究内容与目标………………………………………………………………………5

2载荷计算与工况分析……………………………………………………………………………7

2.1天线载荷分类…………………………………………………………………………7

2.2风载计算……...…...............………………………………………………………………7

2.3工况分析…………………………………………………………….............................…12

3有限元模型……………………………………………………………………………14

3.1有限元平台与分析过程简介……………………………………………………………14

3.2模型分析………………………………………………………………………………14

3.3机箱网格模型划分……………………………………….............................…15

3.4机箱有限元模型建立与验证…………………………………………………………17

4机箱结构可靠性的随机有限元分析…………………………………………………………21

4.1随机有限元方法与实现平台的选取……………………………………………………21

4.2随机变量与极限条件的确定.……………………………………………………………22

4.3机箱在运输状态下的随机有限元分析………………………….............................…24

4.4机箱在工作状态下的随机有限元分析…………………………………………………28

4.5敏感性分析………………………………………………………………………………30

5天线结构随机有限元分析的方案设计………………………………………………………32

5.1天线有限元模型的建立…………………………………………………………………32

5.2天线的随机有限元分析………………………………………………………………32

5.3不足与改进……………………………………………………………………………33

6总结……………………………………………………………………………………………36

致谢……………………………………………………………………………………………37

参考文献………………………………………………………………………………………38

基于随机有限元方法的某工程装备结构可靠性分析

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