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Geometric nonlinear dynamic analysis of curved beams using curved beam element
  • 时间:0
  • 分类:O18[理学—数学;理学—基础数学] TH113[机械工程—机械设计及理论]
  • 作者机构:[1]School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, 200240 Shanghai, China
  • 相关基金:The project was supported by the National Natural Science Foundation of China (10872126) and Research Fund for the Doctoral Program of Higher Education of China (20100073110007).
  • 相关项目:大变形弹塑性多体系统动力学理论和实验研究
中文摘要:

而不是使用以前的直横梁元素接近弄弯的横梁在这份报纸,一个曲线的坐标被采用描述变丑,并且一个新弄弯的横梁元素被建议为弄弯的横梁建模。基于准确非线性的紧张排水量关系,虚拟工作原则被用来导出动态方程因为旋转弄弯横梁与轴的可扩展性的效果,砍考虑的变丑和旋转惯性。经常的矩阵数字地被解决利用高斯照集成方法。Newmark 和 Newton-Raphson 重复方法被采用解决僵硬灵活的联合系统的微分方程。现在的结果与商业程序获得验证现在的有限方法的那些相比。为了推进,说明集中和当模特儿的礼品和计算明确的表达的效率特征, ADAMS 软件的有那些的现在的明确的表达的结果的比较被做。而且,从线性明确的表达获得的现在的结果与从非线性的明确的表达的那些相比,并且弄弯的横梁的特殊动态特征被比较直横梁与那些结束。

英文摘要:

Instead of using the previous straight beam element to approximate the curved beam,in this paper,a curvilinear coordinate is employed to describe the deformations,and a new curved beam element is proposed to model the curved beam.Based on exact nonlinear strain-displacement relation,virtual work principle is used to derive dynamic equations for a rotating curved beam,with the effects of axial extensibility,shear deformation and rotary inertia taken into account.The constant matrices are solved numerically utilizing the Gauss quadrature integration method.Newmark and Newton-Raphson iteration methods are adopted to solve the differential equations of the rigid-flexible coupling system.The present results are compared with those obtained by commercial programs to validate the present finite method.In order to further illustrate the convergence and efficiency characteristics of the present modeling and computation formulation,comparison of the results of the present formulation with those of the ADAMS software are made.Furthermore,the present results obtained from linear formulation are compared with those from nonlinear formulation,and the special dynamic characteristics of the curved beam are concluded by comparison with those of the straight beam.

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