论文总字数：22094字

摘 要

随着航天事业的快速发展，航天器对于一个国家的作用不言而喻，航天器的结构也变得更加重要，尤其对于其柔性结构的振动抑制要求更高。对于压电纤维复合材料MFC，它自身厚度薄、重量小、韧性高，不仅不会降低结构本身的强度 ,而且对结构的改变更小，现已广泛应用于航天事业。在控制方法选择中，选用同步开关阻尼技术，主要是电压同步开关阻尼技术SSDV，其结构简单，容易集成，且控制效果相对稳定，具有良好的应用前景。

本文以工程常用的悬臂梁结构为研究对象，基于同步开关阻尼方法,开展压电纤维复合材料（MFC）的半主动振动控制研究，对悬臂梁的振动进行控制，完成振动抑制过程的有限元仿真。探索半主动控制方法在大型悬臂梁结构振动抑制方面的可性，为实验研究的开展提供坚实的指导。

本文主要内容包括：

1.建立悬臂梁结构模型，分析第一阶模态，然后建立悬臂梁的动力学有限元模型和MFC模型；

2.用Fortran编辑器设计同步开关阻尼振动控制算法，在Abaqus中把算法与模型关联起来；

3.完成振动抑制过程的有限元仿真，输出动力学响应，分析对比结果。

关键词：悬臂梁 振动抑制 同步开关阻尼 MFC

Simulation Study on Vibration Suppression of Cantilever Beam Structure Based on Abaqus

Abstract

With the rapid development of the space industry, the role of spacecraft for a country is self-evident, and the structure of spacecraft has become more important, especially for the vibration suppression requirements of its flexible structure. For the piezoelectric fiber composite material MFC, its thin thickness, small weight, and high toughness not only do not reduce the strength of the structure itself, but also change the structure less, and it has been widely used in the aerospace industry. In the selection of control methods, the synchronous switch damping technology is selected, mainly the voltage synchronous switch damping technology SSDV. Its structure is simple, easy to integrate, and the control effect is relatively stable, which has good application prospects.

In this paper, the cantilever beam structure commonly used in engineering is taken as the research object. Based on Synchronous switch damping method, the semi-active vibration control research of piezoelectric fiber composite (MFC) is carried out to control the vibration of the cantilever beam and complete the finite element simulation of the vibration suppression process . To explore the feasibility of semi-active control method in the vibration suppression of large cantilever beam structure, and to provide solid guidance for the development of experimental research.

The main contents of this article include:

1. Establish a cantilever beam structural model, analyze the first-order mode, and then establish a dynamic finite element model and MFC model of the cantilever beam;

2. Use the Fortran editor to design the synchronous switch damping vibration control algorithm, and associate the algorithm with the model in Abaqus;

3. Complete the finite element simulation of the vibration suppression process, output the dynamic response, and analyze the comparison results.

Keywords: cantilever beam；vibration suppression；synchronous switch damping；

MFC

目 录

摘要……………………………………………………………………………Ⅰ

Abstract……………………………………………………………………………Ⅱ

第一章 绪论………………………………………………………………………1

1.1 课题研究背景及价值………………………………………………………1

1.2 国内外柔性结构振动抑制进展……………………………………………1

1.2.1 国外柔性结构振动抑制进展…………………………………………1

1.2.2 国内柔性结构振动抑制进展…………………………………………2

1.3 同步开关阻尼技术进展……………………………………………………3

1.4 本文研究内容………………………………………………………………3

第二章 基于MFC的振动控制原理…………………………………………5

2.1 压电材料的工作原理………………………………………………………5

2.1.1 压电效应原理…………………………………………………………5

2.1.2 压电方程………………………………………………………………5

2.2 压电纤维复合材料…………………………………………………………6

2.2.1 压电材料………………………………………………………………6

2.2.2 压电复合材料…………………………………………………………7

2.2.3 MFC介绍………………………………………………………………8

2.3 同步开关阻尼技术工作原理………………………………………………9

2.4 本章小结…………………………………………………………………9

第三章 悬臂梁及MFC结构的有限元模型………………………………10

3.1 悬臂梁结构模态分析……………………………………………………10

3.2 悬臂梁结构动力学模型…………………………………………………14

3.3 MFC结构动力学模型……………………………………………………17

3.4 本章小结…………………………………………………………………20

第四章 振动控制联合仿真 …………………………………………………21

4.1 基于UAMP的振动控制方法 ……………………………………………21

4.2 振动抑制过程实现………………………………………………………21

4.3 振动抑制效果分析………………………………………………………22

4.4 本章小结…………………………………………………………………24

第五章 总结与展望……………………………………………………………25

5.1 总结…………………………………………………………………………25

5.2 展望…………………………………………………………………………25

参考文献 …………………………………………………………………………26

致谢…………………………………………………………………………………28

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