船舶海洋工程中常用的金属管道易腐蚀，维护成本高，声学阻尼性能差。功能梯度材料（FGM）是一种具有极强可设计性的新型复合材料，其材料属性随着空间位置的连续变化而变化。本文研究材料属性沿壁厚方向呈连续梯度变化的充液管道振动特性，以此分析功能梯度材料的应用前景。首先，沿壁厚方向将非均匀材料离散为若干层均匀材料，其次，基于管道的Timoshenko梁模型和流体方程建立功能梯度充液弯管或直管的耦合振动方程，最后研究高精度、高效率的动刚度法在组装充液管道单元上的应用，并讨论梯度指数对管道动态特性的影响。
Metal pipes, which are extensively used in marine engineering, have weak corrosion resistance, high costs for maintenance and poor damping capacity. As a new type of composite material, functionally graded material(FGM) has continuously changing material properties along with the spatial position, which makes it possible for designable features. This paper aims to investigate the vibration characteristics of fluid-filled pipes with gradient variable parameters along the thickness in order to specify the application prospect of FGM. Firstly, multi-layered homogeneous model within the wall thickness was employed to discretize the inhomogenous material. Secondly, the Timoshenko beam model for pipes and fluid equations were combined to form the coupled governing equations for FGM fluid-filled curved or straight pipes. Finally, the dynamic stiffness method with high precision and efficiency was developed to construct the fluid-filled pipe elements. Meanwhile, the effects of gradient index of FGM on the dynamic characteristics of pipes were under discussion.
2023,45(18): 66-72 收稿日期：2022-09-07
DOI：10.3404/j.issn.1672-7649.2023.18.011
分类号：TB533
作者简介：陈剑(1987-),本科,助理工程师,研究方向为装备价格
参考文献：
[1] KOIZUMI M. FGM activities in Japan[J]. Composites Part B Engineering, 1997, 28(1–2): 1–4.
[2] 邢世凯. 李聚霞, 吴立勋. 金属-陶瓷梯度功能材料在内燃机上的应用[J]. 机械工程材料, 2005, 29(5): 6I–63
[3] 刘华炜, 刘学武, 张广文. 功能梯度材料制备工艺及研究进展[J]. 机械设计与制造, 2012, 4: 265–267
[4] KHAN S M, JORDAAN M. Assessment of filament-wound glass reinforced plastic(GRP) pipe technology for RAN surface ship application[R]. Australia: Defence Science and Technology Organisation, 2003.
[5] MOURITZ A P, GELLERT E, BURCHILL P, et al. Review of advanced composite structures for naval ships and submarines[J]. Composite Structures, 2001, 53(1): 21–42
[6] FEODOS'EV V P. Vibrations and stability of a pipe when liquid flows through it[J]. Inzhenernyi Sbornik, 1951, 10: 169–170
[7] HOUSNER G W. Bending vibrations of a pipe line containing flowing fluid[J]. Journal of Applied Mechanics, 1952, 19: 205–208
[8] NIORDSON FIN. Vibration of a cylindrical tube containing flowing fluid[J]. Stockholm: Royal Instrtute of Technology, 1953, 3(73): 28.
[9] WILLIAMS D J. Water hammer in non-rigid pipes: precursor waves and mechanical damping[J]. Journal of Mechanical Engineering Science, 1977, 19(6): 237–242
[10] WALKER J S, PHILLIPS J W. Pulse propagation in fluid tubes[J]. Journal of Applied Mechanics, 1977, 99: 31–35
[11] WIGGERT D C, HATFIELD F J, STUCKENBRUCK S. Analysis of liquid and structural transients in piping by the method of characteristics[J]. Journal of Fluids Engineering, 1987, 109(2): 161–165
[12] LESMEZ M W, WIGGERT D C, HATFIELD F J. Modal analysis of vibrations in liquid-filled piping systems[J]. Journal of Fluids Engineering, 1990, 109(3): 311–318
[13] LEE U, PAK C H, HONG S C. The dynamics of a piping system with internal unsteady flow[J]. Journal of Sound & Vibration, 1995, 180(2): 297–311
[14] GORMAN D G, REESE J M, ZHANG Y L. Vibration of a flexible pipe conveying viscous pulsating fluid flow[J]. Journal of Sound and Vibration, 2000, 230(2): 379–92
[15] LI X, LI L, HU Y, et al. Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory[J]. Composite Structures, 2017, 165: 250–265
[16] BOUAKKAZ K, HADJI L, ZOUATNIA N, et al. An analytical method for free vibration analysis of functionally graded sandwich beams[J]. Wind & Structures An International Journal, 2016, 23(1): 59–73
[17] WANG Q, SHI D, LIANG Q, et al. A unified solution for vibration analysis of moderately thick, functionally graded rectangular plates with general boundary restraints and internal line supports[J]. Mechanics of Composite Materials & Structures, 2017, 24(11): 943–961
[18] GUPTA A, TALHA M, SINGH B N. Vibration characteristics of functionally graded material plate with various boundary constraints using higher order shear deformation theory[J]. Composites Part B Engineering, 2016, 94: 64–74
[19] 刘辰. 功能梯度输流管的振动和失稳分析[D]. 北京: 北京交通大学, 2012.
[20] 甄亚欣. 输流碳纳米管的动力学行为研究[D]. 哈尔滨: 哈尔滨工业大学, 2012.
[21] LI L, HU Y. Wave propagation in fluid-conveying viscoelastic carbon nanotubes based on nonlocal strain gradient theory[J]. Computational Materials Science, 2016: 282–288.
[22] YOON J, RU C Q, MIODUCHOWSKI A. Vibration and instability of carbon nanotubes conveying fluid[J]. Composites Science & Technology, 2005, 65(9): 1326–1336
[23] CAF J D. Analysis of pulsations and vibrations in fluid-filled pipe systems[D]. Eindhoven: Eindhoven University of Technology, 1994.
[24] PAÏDOUSSIS M P, DENISE J P. Flutter of thin cylindrical shells conveying fluid[J]. Journal of Sound and Vibration, 1972, 20(1): 9–26
[25] LI Q, LIU W, LU K, et al. Nonlinear parametric vibration of a fluid-conveying pipe flexibly restrained at the ends[J]. Acta Mechanica Solida Sinica, 2020, 33(3): 327–346
[26] P, DJONDJOROV, and, et al. Dynamic stability of fluid conveying cantilevered pipes on elastic foundations[J]. Journal of Sound and Vibration, 2001, 247(3): 537–546
[27] ZHANG L, ZHANG T, OUYANG H, et al. Receptance-based natural frequency assignment of a real fluid-conveying pipeline system with interval uncertainty[J]. Mechanical Systems and Signal Processing, 2022, 179: 109321
