【作者】 郭保全； 谢石林； 张希农； 潘玉田；

【Author】 GUO Bao-quan~(1,2) XIE Shi-lin~1 ZHANG Xi-nong~1 PAN Yu-tian~2 (1.Department of Engineering Mechanics/MOE Key Laboratory for Strength and Vibration,School of Aerospace,Xi’an Jiaotong University, Xi’an 710049,China;2.Department of power mechanical engineering, School of mechanical and electronic engineering,North University of China,Taiyuan 030051,China)

【机构】 工程力学系/强度与振动教育部重点实验室航天航空学院,西安交通大学； 动力机械系,机电工程学院,中北大学； 动力机械系机电工程学院中北大学；

【摘要】 移动载荷作用下轴向移动梁的振动问题结合是一类比较复杂的非线性问题,在兵器、航天和机器人等领域比较常见。本文在分析移动载荷作用下轴向移动梁的受力和振动特性的基础上,建立了在高速运动载荷冲击作用下作高速轴向运动的变截面梁的振动微分方程。然后构造了考虑时变的梁长的型函数,利用Galerkin法对方程进行了离散化,选用Newmark-β法对方程进行了求解。最后以某火炮发射时身管的横向振动为例进行了验证。更多还原

【Abstract】 The beam’s vibration induced by moving load is a type of complicated non-linear problem,which often appears in weapons,spaceflights,and robots.In this paper,based on the analysis of the beam’s vibration characteristic,the vibration differential equation of the beam is built.Then the equation is dispersed using Galerkin method.The beam’s length changing with time is imported into the mode shape function.Then the method of Newmark-βis chosen to solve the vibration equation.In the end,a gun barrel’s transverse vibration is analyzed as an example.更多还原