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Nonlinear time domain and stability analysis of beams under partially distributed follower force

机译：部分分布从动力作用下梁的非线性时域和稳定性分析

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This paper aims to investigate linear and nonlinear behavior of beams subjected to externally applied partially distributed follower forces. In this investigation, the nonlinear composite beam theory of Hodges is used. The system of nonlinear equations is linearized about the equilibrium, or rest structure state, and the linear system is solved numerically. The effects of follower force position on the behavior of eigenvalues at pre- and post-instability are reported. Additionally, the contours of critical follower force are obtained by changing the position of follower force in span-wise and chord-wise directions. The effects of different parameters such as the length, and position of follower force and the ratios of stiffnesses on the critical follower force as well as the nonlinear limit cycle oscillation (LCO) are reported. The obtained results indicate that the length and the position of the partially distributed follower forces considerably affect the stability of the beam. (C) 2019 Elsevier Inc. All rights reserved.
机译：本文旨在研究受外部施加的部分分布从动力作用的梁的线性和非线性行为。在这项研究中，使用了Hodges的非线性复合梁理论。非线性方程组围绕平衡或静止结构状态线性化，线性系统通过数值求解。报告了从动力位置对不稳定前后特征值行为的影响。另外，通过在跨度和弦向方向上改变从动力的位置，可以获得临界从动力的轮廓。报告了不同参数的影响，例如长度，从动力位置，刚度比对临界从动力以及非线性极限循环振荡（LCO）。获得的结果表明，部分分布的从动力的长度和位置会大大影响梁的稳定性。 （C）2019 Elsevier Inc.保留所有权利。

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