Analysis of vibration stability of fluid conveying pipe on the two-parameter foundation with elastic support boundary conditions  

作　　者：Yongqi Ma Yunxiang You Ke Chen Aichun Feng 

机构地区：[1]State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200240,China [2]School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China [3]Shanghai Jiao Tong University Yazhou Bay Institute of Deepsea Technology,Sanya 572000,China

出　　处：《Journal of Ocean Engineering and Science》2024年第6期616-629,共14页海洋工程与科学（英文）

摘　　要：In this study,the vibration stability of fluid conveying pipe resting on two-parameter foundation is in-vestigated under four different elastic support boundary conditions.The harmonic differential quadrature(HDQ)method is applied to solve the governing vibration equation derived based on Euler–Bernoulli beam theory subject to the elastic foundation and boundary conditions.As a result,a general set of second-order ordinary differential equations emerges,and by appropriately setting the stiffness of the end springs,one can easily study the dynamics of various systems with classical or non-classical bound-ary conditions.The numerical simulations are conducted to study the pipe instability performance with respect to various boundary conditions,elastic support parameters,elastic foundation parameters and fluid mass ratios.The numerical model is validated by comparison with published data.It is found that the elastic support boundary conditions have significant effects on the stability of pipe resting on elas-tic foundation.The pipe stability performance is very sensitive to the two elastic foundation parameters.Larger fluid mass ratio enhances the pipe flutter stability performance but has no effects on the diver-gence.

关 键 词：Vibration stability Two-parameter foundation Elastic support Boundary conditions Harmonic differential quadrature method 

分 类 号：O241.8[理学—计算数学]