柔性旋转Euler梁的高维力学建模

摘要

利用Newtonian方法建立横向振动的轴向运动梁的振动微分方程,采用Galerkin过程离散运动方程,研究了柔性旋转Euler梁的高维力学建模及其动力学响应问题,分析了转子半径、旋转梁的转动角速度对旋转梁动力学响应的影响,同时借用其模态函数,绘制出旋转梁的前五阶振动模态图.%In this paper, Newtonian method is adopted to establish the lateral vibration of the axial movement of the beam vibration differential equations. Discrete equations of motion Galerkin process is also applied to the mechanical modeling study of high-dimensional rotating flexible Euler beam and the dynamic response of the problem. Then, the paper analyzes the impact of the rotation angular velocity of the rotor radius and rotating beam on the rotating beam dynamic response. With the aid of its modal function, five modes of vibration of a rotary beam are therefore drawn.