Abstract

This work aims to study the nonlinear dynamic analysis response of the external excitation forces of an on-board rotor with a mobile non-deformable supports, mounted on hydrodynamic bearings. The modeling of the structure is achieved by the hierarchical polynomial (h-p) version of the finite element method. A theoretical study based on the Euler–Bernoulli beam model made for the establishment of the kinetic energy and the strain energy of the shaft. The Reynolds equation used to determine the hydrodynamic forces of the plain bearings. The motion equations of rotor system are determined by the Lagrange method. Linear results are obtained using the implicit time-step integration scheme of Newmark, and nonlinear results obtained with a complex resolution algorithm combining Newton–Raphson's iterative incremental procedure with the Newmark temporal integration scheme. The calculation steps for the nonlinear analysis of the onboard rotor system dynamic behavior are grouped together in an application created using the MATLAB programming language, and validated with work done previously by the classical version of the finite element method. In this article, we make some examples to study the influence of the excitations of the mobile support on the behavior of the rotor and the hydrodynamic bearings.

摘要

这项工作的目的是研究带有安装在流体动力轴承上的移动不变形支撑的机载转子的外部激振力的非线性动态分析响应。结构的建模是通过有限元方法的分层多项式 (hp) 版本实现的。基于欧拉-伯努利梁模型的理论研究，用于建立轴的动能和应变能。用于确定滑动轴承的流体动力的雷诺方程。转子系统的运动方程由拉格朗日法确定。使用 Newmark 隐式时间步长积分方案获得线性结果，以及通过将牛顿-拉夫森迭代增量过程与纽马克时间积分方案相结合的复杂分辨率算法获得的非线性结果。机载转子系统动态行为非线性分析的计算步骤集中在使用 MATLAB 编程语言创建的应用程序中，并通过之前通过经典版本的有限元方法完成的工作进行验证。在本文中，我们通过一些例子来研究移动支架的激励对转子和流体动压轴承行为的影响。并通过之前通过经典版本的有限元方法所做的工作进行了验证。在本文中，我们通过一些例子来研究移动支架的激励对转子和流体动压轴承行为的影响。并通过之前通过经典版本的有限元方法所做的工作进行了验证。在本文中，我们通过一些例子来研究移动支架的激励对转子和流体动压轴承行为的影响。