Abstract
Micro-scale functionally graded material (FGM) pipes conveying fluid have many significant applications in engineering fields. In this work, the thermoelastic vibration of FGM fluid-conveying tubes in elastic medium is studied. Based on modified couple stress theory and Hamilton’s principle, the governing equation and boundary conditions are obtained. The differential quadrature method (DQM) is applied to investigating the thermoelastic vibration of the FGM pipes. The effect of temperature variation, scale effect of the microtubule, micro-fluid effect, material properties, elastic coefficient of elastic medium and outer radius on thermoelastic vibration of the FGM pipes conveying fluid are studied. The results show that in the condition of considering the scale effect and micro-fluid of the microtubule, the critical dimensionless velocity of the system is higher than that of the system which calculated using classical macroscopic model. The results also show that the variations of temperature, material properties, elastic coefficient and outer radius have significant influences on the first-order dimensionless natural frequency.
摘要
微尺度功能梯度材料输流微管在许多工程领域有着十分重要的应用价值。本文采用修正的偶应 力理论和哈密顿原理建立了振动方程,并通过微分求积法求解研究嵌入弹性介质的微尺度功能梯度材 料输流管的热弹性振动问题。综合考虑温度变化、微尺寸效应、微流体效应、材料属性变化、弹性基 体的弹性系数变化和管道外径变化对微尺度功能梯度材料输流管的热弹性振动影响。研究结果表明: 在考虑微尺度和微流体效应的情况下,系统的无量纲临界流速高于经典模型下的系统无量纲临界流 速;温度、材料属性、弹性基体的弹性系数、管道外径等因素的变化对系统的一阶固有频率都有显著 的影响。
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Tong, Gj., Liu, Ys., Liu, Hc. et al. Thermoelastic vibration analysis of micro-scale functionally graded material fluid-conveying pipes in elastic medium. J. Cent. South Univ. 26, 2785–2796 (2019). https://doi.org/10.1007/s11771-019-4213-5
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DOI: https://doi.org/10.1007/s11771-019-4213-5