论文标题
基于优化算法的方法，用于建模受尖端负载的悬臂梁的大挠度
Optimization Algorithm-Based Approach for Modelling Large Deflection of Cantilever Beam Subjected to Tip Load
论文作者
论文摘要
梁机理和梁理论吸引了研究人员的大量关注，因为它们已被广泛用于许多领域，例如兼容的机理和软机器人。由于几何非线性在大偏转中被证明很重要，因此梁机理的建模变得复杂。提出了一种称为优化算法方法（OABA）的新方法，以预测悬臂梁的较大偏转，其中利用优化算法来找到梁尖端的轨迹。使用梁尖的衍生位点，可以计算悬臂梁的挠度曲线。本文中的优化算法体现在粒子群优化（PSO）算法中。实验结果表明，所提出的方法可以精确预测均匀和不均匀悬臂梁的偏转。当标准化的最大横向偏转达到0.75时，最大误差限制为4.35％。鉴于此，提出的OABA将是一种通用方法，用于模拟受尖端载荷的悬臂梁的大偏转。
Beam mechanism and beam theory have attracted substantial attention from researchers, as they have been widely used in many fields such as compliant mechanisms and soft robots. The modeling of beam mechanisms becomes complicated due to the geometric nonlinearity that is proved to be significant with large deflection. A new method, called optimization algorithm-based approach (OABA), is proposed to predict the large deflection of cantilever beams, in which an optimization algorithm is exploited to find the locus of the beam tip. With the derived locus of the beam tip, the deflection curve of the cantilever beam can be calculated. The optimization algorithm in this paper is embodied in a particle swarm optimization (PSO) algorithm. Experimental results show that the proposed method can precisely predict the deflection of the uniform and non-uniform cantilever beams. The maximum error is limited to 4.35% when the normalized maximum transverse deflection reaches 0.75. Given that, the proposed OABA would be a universal approach to model the large deflection of cantilever beams subjected to tip loads.
