Lagrange方程大范围旋转运动梁的振动模态研究

摘要刚-柔耦合系统是一个典型的多柔体系统，其动力学问题与一般多刚体系统动力学有本质的差别，表现为大位移刚性运动和小变形运动之间的强烈耦合，其动力学中的动力刚化问题是当今世界学术界公认的热门问题。而高效的动力学仿真软件工具对理论研究和工程设计都十分重要。65359

本文以做大范围旋转运动的中心刚体-柔性悬臂梁系统为例对刚-柔耦合建模理论进行了研究，考虑柔性梁横向弯曲变形。采用假设模态法描述变形，运用第二类Lagrange方程建立了系统的一次耦合动力学方程。对做大范围旋转运动的中心刚体-悬臂梁系统的动力学特性进行了研究。

毕业论文关键词柔性多体系统刚-柔耦合动力学大范围运动

毕业设计说明书（论文）外文摘要

Title Vibration Analysis of the Rotating Flexible Beam With Large Overall Motion

Abstract

The rigid-flexible coupling system is a typical multi-body system.Its dynamic problem is quite different from the dynamic problem of a multi-body system.It is complicated by the coupling between the large overall rigid motion and the small elastic deformation.Its dynamic problem is academically difficult. The dynamics simulation software package is very important in research and the design of products.

To study the modeling theory of the rigid-flexible problem,a hub-beam system with large overall motion is researched in the dissertation.Only the transversal deformation of the flexible beam is considered.The approach of assumed modes is used to describe the deformation of the beam. The first order coupling dynamical equations of the system are established via employing the second kind of Lagrange’s equation. The dynamic characteristics of the hub-beam system with large overall motion are studied based on the coupling model.

Keywords Flexible multi-body system Rigid-flexible coupling

Dynamics Large overall motion

1 绪论 1

1.1 工程背景 1

1.2 柔性多体系统动力学研究现状 1

1.3 本课题的工作和内容安排 4

2 大范围旋转运动梁的建模理论 4

2.1 旋转运动梁系统的物理模型 5

2.2 旋转运动梁系统的动能 5

2.3 旋转运动梁系统的势能 6

2.4 旋转运动梁的假设模态法离散 6

2.5 旋转运动梁的耦合动力学方程 8

2.6 零次近似耦合模型 10

2.7 本章小结 10

3 大范围旋转运动梁的振动模态分析 10

3.1 悬臂梁系统的固有振动模态 11

3.2 Lagrange方程大范围旋转运动梁的振动模态研究:http://www.751com.cn/wuli/lunwen_72953.html