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首页> 外文期刊>Transactions of the Japan society for aeronautical and space sciences >Instability Characteristics of a Free-Free Multi-Stepped Timoshenko Beam with Concentrated Masses Subjected to Follower Force
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Instability Characteristics of a Free-Free Multi-Stepped Timoshenko Beam with Concentrated Masses Subjected to Follower Force

机译：随动力作用下集中质量的自由多步蒂莫申科梁的不稳定性

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摘要

This paper presents dynamic and static instability characteristics of a free-free multi-stepped Timoshenko beam subjected to a follower force, where each step has a point mass with transverse and rotary inertia. A finite element code is developed to model two-dimensional multi-stepped Timoshenko beams using the extended Hamilton's principle. The effects of each section parameters on the type of instability and critical follower force have been studied for different models of multi-stepped beams. It is concluded that the assumption of a uniform beam to study most aerospace structures such as launch vehicles could lead to an unrealistic instability analysis, where any small change in the characteristics parameters for each step could change the instability behavior significantly. Furthermore, this paper introduces a new parametric approach concept for analyzing the characteristics effects of a multi-step aerospace structure.
机译：本文介绍了在跟随力的作用下自由-自由多步Timoshenko梁的动态和静态失稳特性，其中每一步都有一个具有横向和旋转惯性的点质量。使用扩展的汉密尔顿原理，开发了有限元代码来对二维多步Timoshenko梁建模。对于多步梁的不同模型，已经研究了每个截面参数对不稳定性类型和临界随动力的影响。结论是，假设采用均匀光束研究大多数航空航天结构（如运载火箭）可能会导致不切实际的不稳定性分析，其中每个步骤的特征参数的任何细微变化都可能显着改变不稳定性行为。此外，本文介绍了一种新的参数化方法概念，用于分析多步航空航天结构的特征效应。

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