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

机译：部分分布从属部力下梁的非线性时域及稳定性分析

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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：本文旨在研究经受外部施加部分分布的从动力的梁的线性和非线性行为。在该研究中，使用了霍奇格的非线性复合光束理论。非线性方程系统围绕平衡或静止结构状态线性化，线性系统在数值上进行解决。报道了跟随力位置对预稳定性的特征值行为的影响。另外，通过改变跨越跨度和和弦方向的从动力的位置来获得临界从动力的轮廓。报道了不同参数的影响，例如从动力的长度和位置和临界从动力的刚度比以及非线性极限周期振荡（LCO）的效果。所得结果表明，部分分布的从动力力的长度和位置显着影响了光束的稳定性。 （c）2019 Elsevier Inc.保留所有权利。

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