基于GDQR的支状周期结构振动带隙特性研究

M. Hajhosseini, A. Abshahi
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引用次数: 0

摘要

本文提出了一种具有特殊振动带隙特性的周期结构。该结构由主梁和几个悬臂梁组成,这些悬臂梁以分支的形式连接到主梁上。考虑了两种不同梁单元数和几何参数的周期结构模型。采用广义微分正交规则(GDQR)方法求解梁的横向振动,计算每个模型的前四个带隙。研究几何参数对带隙的影响表明,在特定的几何参数范围内,一些带隙彼此接近。此外,随着光束单元数量的增加,闭合带隙的数量也会增加。有两个以上的闭合带隙意味着这个周期结构总共有一个相对较宽的带隙。此外,该宽带可以通过改变几何参数移动到低频范围。在低频范围内的宽带隙吸收振动使这种周期性结构成为一种良好的吸振器。利用ANSYS软件对分析方法进行验证,结果表明,GDQR方法可用于类梁结构的振动分析,具有较高的精度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Study on Vibration Band Gap Characteristics of a Branched Shape Periodic Structure Using the GDQR
In this study, a new periodic structure with special vibration band gap properties is introduced. This structure consists of a main beam and several cantilever beam elements connected to this main beam in the branched shape. Two models with different number of beam elements and geometrical parameters are considered for this periodic structure. The transverse vibrations of beams are solved using the generalized differential quadrature rule (GDQR) method to calculate the first four band gaps of each model. Investigating the influences of geometrical parameters on the band gaps shows that some bands are close to each other for specific ranges of geometrical parameters values. Furthermore, as the number of beam elements increases, the number of close band gaps increases. Having more than two close band gaps means that this periodic structure has a relatively wide band gap in total. Furthermore, this wide band can move to low frequency ranges by changing the geometrical parameters. Absorbing vibrations over a wide band gap at low frequency ranges makes this periodic structure a good vibration absorber. Verification of the analytical method using ANSYS software shows that the GDQR method can be used for vibration analysis of beam-like structures with high accuracy.
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