Winkler地基上黏弹性输流管的参数共振稳定性  

Dynamic stability of parametric resonance for a viscoelastic pipe conveying pulsating fluid on Winkler elastic foundation

作　　者：张计光[1,2] 陈立群[1,3] 钱跃竑[1] 

机构地区：[1]上海市应用数学和力学研究所,上海200072 [2]日照职业技术学院,山东276826 [3]上海大学力学系,上海200444

出　　处：《振动与冲击》2013年第13期137-141,共5页Journal of Vibration and Shock

基　　金：国家杰出青年科学基金(10725209);国家自然科学基金(90816001);上海市优秀学科带头人计划(09XD1401700);上海市重点学科建设项目(S30106);长江学者和创新团队发展计划基金课题(IRT0844)

摘　　要：研究黏弹性输流管在Winkler地基上的横向振动。管道的黏弹性材料用Kelvin本构关系描述,在两端铰支边界条件下,对系统的控制方程应用直接多尺度法建立相应的可解性条件,得到了系统次谐波共振和组合共振的稳定性边界条件,考察了系统的各种参数如阻尼、脉动流速、质量比、弹性地基对稳定性边界条件的影响。The dynamic stability of transverse vibration for a viscoelastic pipe conveying pulsating fluid on Winkler elastic foundation was investigated under a simply-supported boundary condition.The pipe＇s material obeys Kelvin constitutional relation with material time derivative used.The axial fluid speed was characterized as a simple harmonic variation about a constant mean speed.When the viscoelastic damping and the periodical excitation were considered small,the method of multi-scale was applied directly to the governing equation to establish the solvability conditions of parametric resonances.The effects of pulsating fluid flow velocity,damping coefficient and mass ratios on the parametric instability were discussed.Some numerical examples were presented to demonstrate the effects of related parameters on the stability boundaries.

关 键 词：输流管道 参数共振 脉动流 直接多尺度法 弹性地基 

分 类 号：O353[理学—流体力学]