In-plane forced vibration of curved pipe conveying fluid by Green function method

作     者：Qianli ZHAO Zhili SUN 

作者机构：School of Mechanical Engineering and Automation Northeastern University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2017年第38卷第10期

页      面：1397-1414页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Science and Technology Major Project(NMP)of China(No.2013ZX04011-011) 

主　　题：in-plane forced vibration curved pipe conveying fluid Green functionmethod (GFM) motion constraint 

摘      要：The Green function method （GFM） is utilized to analyze the in-plane forced vibration of curved pipe conveying fluid, where the randomicity and distribution of the external excitation and the added mass and damping ratio are considered. The Laplace transform is used, and the Green functions with various boundary conditions are obtained subsequently. Numerical calculations are performed to validate the present solutions, and the effects of some key parameters on both tangential and radial displacements are further investigated. The forced vibration problems with linear and nonlinear motion constraints are also discussed briefly. The method can be radiated to study other forms of forced vibration problems related with pipes or more extensive issues.