Articles

Size and temperature effects on band gaps in periodic fluid-filled micropipes

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  • Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing 210096, China

Received date: 2021-05-28

  Revised date: 2021-07-11

  Online published: 2021-09-07

Supported by

the National Key R&D Program of China (No. 2018YFD1100401) and the National Natural Science Foundation of China (Nos. 12002086, 11872149, and 11772091)

Abstract

A new model is proposed for determining the band gaps of flexural wave propagation in periodic fluid-filled micropipes with circular and square thin-wall cross-sectional shapes, which incorporates temperature, microstructure, and surface energy effects. The band gaps depend on the thin-wall cross-sectional shape, the microstructure and surface elastic material constants, the pipe wall thickness, the unit cell length, the volume fraction, the fluid velocity in the pipe, the temperature change, and the thermal expansion coefficient. A systematic parametric study is conducted to quantitatively illustrate these factors. The numerical results show that the band gap frequencies of the current non-classical model with both circular and square thin-wall cross-sectional shapes are always higher than those of the classical model. In addition, the band gap size and frequency decrease with the increase of the unit cell length according to all the cases. Moreover, the large band gaps can be obtained by tailoring these factors.

Cite this article

Jun HONG, Zhuangzhuang HE, Gongye ZHANG, Changwen MI . Size and temperature effects on band gaps in periodic fluid-filled micropipes[J]. Applied Mathematics and Mechanics, 2021 , 42(9) : 1219 -1232 . DOI: 10.1007/s10483-021-2769-8

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