Flexural vibration band gaps in Timoshenko beams with locally resonant structures

By Dianlong Yu, Yaozong Liu, G. Wang, Honggang Zhao, J. Qiu. 2006

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A chiral elastic metamaterial beam for broadband vibration suppression (2014, unknown): “(9), frequency response function (FRF) of the finite beam [21], which is the ratio of the amplitude of the out-of-plane acceleration at the right end to the amplitude of the out-of-plane excitation force at the left end, can be obtained by setting the boundary conditions as [17,22] EIY ′′1 0 ð0Þ 1⁄4”
Theoretical and Experimental Study of Locally Resonant and Bragg Band Gaps in Flexural Beams Carrying Periodic Arrays of Beam-Like Resonators (2013, methodology): “Such a test scheme has been commonly adopted in earlier experimental works on LR structures [27,29].”
Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches (2015, background): “Different types of local resonators have been proposed in the design of acoustic metamaterials, such as coated spheres (the coating is elastically soft material while the sphere is high density solid) [1], Helmholtz resonators [3], tensioned elastic membrane carrying mass blocks [7,8,10,14], soft ru”