【作者】 闫安志； 滕军； 徐晖； 鲁志雄；

【Author】 YANAn-zhi TENG Jun XU Hui LU ZhiXiong The Institute of Civil Engineering, Henan Polytechnic University, Jiaozuo 454159 Department of Urban and Civil Engineering, Harbin Institute of Technology Shenzhen Graduate School, Shenzhen, 518055 School of Aeronautics & Aerospace, Xi’an Jiaotong University, Xi’an 710049

【机构】 河南理工大学土木工程学院； 哈尔滨工业大学深圳研究生院城市与土木工程学科部； 西安交通大学航天航空学院；

【摘要】 利用微元法导出旋转Euler-Bernoulli梁的三个耦合的非线性偏微分方程。在回转刚体不受动质量惯性和梁变形影响的假设下,对梁和质景的运动方程进行无量纲化处理,利用模态叠加法,将偏微分方程转化为状态空间的一阶时变、耦合常微分方程,用四阶Runge-Kutta法进行迭代求解。给出旋转柔性梁幅值随质量位置、质量比和机动时间变化的规律。更多还原

【Abstract】 The equation of motion of the rotating beam system is derived using micro member method. The non-dimensional procession for the equation of beam and mass is done on the assumption that the angle velocity of rigid hub is unaffected by the inertia of mass and the beam distortion. The mode assumption method is used to transform the nonlinear equations of partial differential into first order space state differential equations in time varying and coupling between the mass and the beam. The iteration results are obtained by using the Runge-Kutta method. The amplitude of the beam vibration varying with the position of the mass, and the mass ratio, and moving time of hub is given.更多还原