Nonlinear vibration analysis of pipeline considering the effects of soft nonlinear clamp  

作　　者：Weijiao CHEN Yiming CAO Xumin GUO Hui MA Bangchun WEN Bo WANG 

机构地区：[1]School of Mechanical Engineering and Automation,Northeastern University,Shenyang,110819,China [2]Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China,Northeastern University,Shenyang,110819,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第10期1555-1568,共14页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11972112);the Fundamental Research Funds for the Central Universities of China(Nos.N2103024 and N2003014);the National Science and Technology Major Project of China(No.J2019-I-0008-0008)。

摘　　要：Soft nonlinear support is a major engineering project,but there are few relevant studies.In this paper,a dynamic pipeline model with soft nonlinear supports at both ends is established.By considering the influence of the Coriolis force and centrifugal force,the dynamical coupling equation of fluid-structure interaction is derived with extended Hamilton’s principle.Then,the approximate analytical solutions are sought via the harmonic balance method.The amplitude-frequency response curves show that different effects can be determined by approximate analysis.It is demonstrated that the increase in the fluid velocity can increase the amplitude of the pipeline system.The frequency range of unstable response increases when the fluid pressure raises.The combination of the soft nonlinear clamp and the large geometrical deformation of the pipeline affects the nonlinear vibration characteristic of the system,and the external excitation force and damping have significant effects on the stability.

关 键 词：clamp soft nonlinear support harmonic balance method fluid-structure interaction pipeline vibration analysis 

分 类 号：O327[理学—一般力学与力学基础]