航空学报 > 2007, Vol. 28 Issue (5): 1098-1103

弹簧连接的锥形杆结构撞击问题的解析解

鲍四元1,邓子辰1,2   

  1. 1  西北工业大学 工程力学系 2 大连理工大学 工业装备结构分析国家重点实验室
  • 收稿日期:2006-11-06 修回日期:2007-02-07 出版日期:2007-10-15 发布日期:2007-10-15
  • 通讯作者: 邓子辰1,2

Analytical Solutions of the Impact Problems of Conical Rod Structures with a Spring

Bao Siyuan1, Deng Zichen1,2   

  1. 1  Department of Engineering Mechanics, Northwestern Polytechnical University 2 State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology
  • Received:2006-11-06 Revised:2007-02-07 Online:2007-10-15 Published:2007-10-15
  • Contact: Deng Zichen1,2

摘要:

提供了弹簧连接的锥形杆结构撞击问题的解析解。振动过程中把杆和质点作为整体考虑,采用无量纲变量,从而简化方程模型。算例说明了锥形杆中波传播情况和撞击端的响应,并且讨论了若干参数,如系统质量参数和锥形杆截面倾角对波传播的影响。解决含弹簧连接的锥形杆结构的纵向撞击问题,并且与等截面杆相应的纵向撞击问题进行了比较。

关键词: 纵向振动, 撞击, 锥形杆, 模态叠加法, 弹簧

Abstract:

Analytical solutions for the impact problems of conical rod structures with supporting spring are provided. The target rod and the impactor are considered as a integrated system during the vibration. The nondimensional variables are defined to simplify the mathematical model. The wave propagation and impacted end responses of the conical rod are analyzed with illustrative examples. The effects of mass parameter and inclination of the conical rod on the wave propagation are also discussed.

Key words: longitudinal , vibration,  , impact,  , conical , rod,  , mode , superposition,  , spring

中图分类号: