Joint Parameters for Strain-Based Geometrically Nonlinear Beam Formulation: Multibody Analysis and Experiment
Joint Parameters for Strain-Based Geometrically Nonlinear Beam Formulation: Multibody Analysis and Experiment
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DOI：
10.1016/j.jsv.2022.117241
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发表时间：
2022-08
影响因子：
4.7
通讯作者：
Keisuke Otsuka;Shuonan Dong;Koji Fujita;H. Nagai;Kanjuro Makihara
中科院分区：
文献类型：
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作者：
Keisuke Otsuka;Shuonan Dong;Koji Fujita;H. Nagai;Kanjuro Makihara
提出了一种新的无奇异性、无调谐、降阶应变梁方程，用于分析细长多体系统，如折叠翼飞机和海上风力涡轮机等，这些系统具有较大的刚体运动和几何非线性变形。传统的线性变形模型是不适合的分析，而基于应变的梁配方有可能描述的几何非线性变形有效地使用少量的应变变量和从递归方程获得的恒定刚度矩阵。然而，它遭受奇异性，惩罚系数调整，和许多变量时，适用于多体系统。本研究通过提出联合参数来解决这些问题。在递归方程中引入无奇异性的关节参数，产生一种新的速度变换，消除了系数调整，实现模型简化。我们表明，该方法可以执行一个更稳定的多体分析相比，使用传统的方法。此外，我们测量了应变的折叠翼部署在风洞中的流体科学研究所，东北大学，以验证基于应变的梁制定与建议的联合参数。所提出的方法的应变是很好的一致性与风洞实验，其中折叠翼进行多体动力学运动的几何非线性变形。
A novel singularity-free, tuning-free, and reduced-order strain-based beam formulation is developed for analyzing slender multibody systems such as folding wing aircraft and offshore wind turbines that perform large rigid body motions and geometrically nonlinear deformations. Conventional linear deformation models are not suitable for the analysis, whereas the strain-based beam formulation has a potential to describe the geometrically nonlinear deformation efficiently using a small number of strain variables and a constant stiffness matrix obtained from a recursive equation. However, it suffers from singularity, penalty-coefficient tuning, and many variables when applied to multibody systems. This study addressed these problems by proposing joint parameters. Singularity-free joint parameters introduced in the recursive equation produce a novel velocity transformation that removes coefficient tuning and achieves model reduction. We demonstrate that the proposed method can perform a more stable multibody analysis compared to that using the conventional method. Further, we measured the strain of the folding wing during deployment in a wind tunnel at the Institute of Fluid Science, Tohoku University to validate the strain-based beam formulation with the proposed joint parameters. The strain of the proposed method is in good agreement with that of the wind tunnel experiment, wherein the folding wing performed multibody dynamic motion with geometrically nonlinear deformation.