文献类型：期刊文献

英文题名：Three-dimensional vibration of cantilevered fluid-conveying micropipes-Types of periodic motions and small-scale effect

作者：Guo, Yong Xie, Jianhua Wang, Lin

第一作者：郭勇

通信作者：Wang, L[1]

机构：[1]Guizhou Inst Technol, Sch Civil Engn, Guiyang, Guizhou, Peoples R China;[2]Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu, Sichuan, Peoples R China;[3]Huazhong Univ Sci & Technol, Dept Mech, Wuhan, Hubei, Peoples R China;[4]Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan, Hubei, Peoples R China

第一机构：贵州理工学院土木工程学院

通信机构：corresponding author), Huazhong Univ Sci & Technol, Dept Mech, Wuhan, Hubei, Peoples R China.

年份：2018

卷号：102

起止页码：112-135

外文期刊名：INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

收录：;EI(收录号：20181605027798);Scopus(收录号：2-s2.0-85045394648);WOS:【SCI-EXPANDED(收录号:WOS:000434753800011)】；

基金：This work is partially supported by the National Natural Science Foundation of China (11622216 and 11672115) and the Open Fund of Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment.

语种：英文

外文关键词：Lagrangian strain tensor; Modified couple stress theory; Center manifold; Normal form; Averaging method; Periodic motion; Hysteresis

摘要：A new theoretical model is developed for the three-dimensional (3D) nonlinear vibration analysis of fluid-conveying cantilevered micropipes. Particular attention is given on the derivation and analysis of the reduced equations, and the small-scale effect on the periodic motions. Based on the modified couple stress theory (MCST), the governing equations are derived by using Hamilton's principle. The material length scale parameter and large-deflection-induced geometric nonlinearities given by the Lagrangian strain tensor are incorporated into the governing equations. Utilizing the center manifold theory, normal form method and 0(2) symmetry, the original governing equations can be rigorously reduced to a two-degree-of-freedom (2DOF) dynamical system. Then two possible types of periodic motions, i.e. planar periodic and spatial periodic motions, together with their stabilities are investigated by means of averaging methods and numerical simulations. Results show that the larger the dimensionless material length scale parameter is, the wider the region of mass ratio for stable planar periodic motion is. Particularly, the presence of small length scale parameter makes micropipes be more likely to oscillate in a plane. It is also shown that for mass ratio corresponding to the hysteresis of the curves of critical flow velocity versus mass ratio, the stabilities for bifurcating periodic motions at lower, moderate and higher critical flow velocities may be different.