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A coupled Galerkin and Newmark techniques for resonance simulation of the electrically single-curved system under low-velocity impact
Engineering with Computers ( IF 8.7 ) Pub Date : 2021-06-21 , DOI: 10.1007/s00366-021-01450-3
Chunliang Zhang , Shangbin Long , Alireza Mohammadi , Farzaneh Sharifi Bagh , Abdellatif Selmi , Afrasyab Khan

The purpose of this paper is to study the stability analysis of the curved system made of piezoelectric materials under low-velocity impact. To examine the contact force through the impactor and structure, the Hertz contact model has been taken into account. The minimum potential energy method is applied for achieving the structure’s boundary and governing equations subject to a low-speed impact. In the numerical investigation’s step, the Galerkin approach could be considered as a class of techniques to changing an operator of a continuous problem to a discrete one in the displacement domains. Newmark method is presented for solving the problem in the time domains. After this, by coupling these two approaches (Galerkin and Newmark), the electrically curved system’s governing equations have been solved subjected to external loads for achieving the responses of low-velocity impact and dynamics. The results show that some geometrical and physical factors contribute considerably to the dynamic stability information of the electrically curved system under low-speed impact. The results show that the convergence study of the Galerkin method appears when the circumferential and axial mode numbers are more than 8. This study’s outcomes are likely to be employed can be used in the aircraft industries.



中文翻译:

耦合Galerkin和Newmark技术用于低速冲击下电单曲线系统的共振模拟

本文旨在研究压电材料弯曲系统在低速冲击下的稳定性分析。为了检查通过冲击器和结构的接触力,已考虑赫兹接触模型。应用最小势能法求得结构的边界和受低速冲击的控制方程。在数值研究的步骤中,Galerkin 方法可以被视为一类技术,用于将连续问题的算子更改为位移域中的离散算子。提出了 Newmark 方法来解决时域中的问题。在此之后,通过耦合这两种方法(Galerkin 和 Newmark),电动弯曲系统的控制方程已在外部负载下求解,以实现低速冲击和动力学响应。结果表明,一些几何和物理因素对电动弯曲系统在低速冲击下的动态稳定性信息有很大影响。结果表明,当周向和轴向模态数大于8时,伽辽金方法的收敛性研究出现。该研究结果有可能在航空工业中使用。

更新日期:2021-06-21
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