A new two-dimensional periodic structure is proposed. This structure consists of curved beams with different radii of curvature and lengths spirally connected to each other to form a circle. Geometrical parameter effects on the first three in-plane vibration band gaps of this structure are studied using the differential quadrature method. Results show that for each set of the radii of curvature, as the lengths of inner beam elements increase, all the bands become close to each other. These close band gaps can be considerably enlarged by increasing the difference between the radii of curvature. Having close and wide band gaps means that this structure absorbs in-plane vibrations over a very wide frequency range. The dimensions of this structure are much smaller than other periodic structures due to its unique shape. All the mentioned features make this periodic structure an efficient vibration absorber. Validation of the analytical results is provided through the forced vibration analysis via ANSYS.

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使用 DQM 研究圆形周期结构的面内带隙特性

提出了一种新的二维周期结构。这种结构由具有不同曲率半径和长度的弯曲梁组成，这些弯曲梁相互螺旋连接形成一个圆。使用微分求积法研究了几何参数对该结构的前三个面内振动带隙的影响。结果表明，对于每组曲率半径，随着内梁单元长度的增加，所有波段变得彼此接近。通过增加曲率半径之间的差异，可以显着扩大这些紧密的带隙。具有紧密而宽的带隙意味着这种结构可以在非常宽的频率范围内吸收面内振动。由于其独特的形状，这种结构的尺寸比其他周期性结构要小得多。所有提到的特征使这种周期性结构成为一种有效的减振器。分析结果的验证通过 ANSYS 的强制振动分析提供。