Nonlinear Fractional-Order Dynamic Stability of Fluid-Conveying Pipes Constituted by the Viscoelastic Materials with Time-Dependent Velocity
作者机构：School of Mechanical EngineeringAnhui Polytechnic UniversityWuhu241000China Department of MechanicsTianjin UniversityTianjin300350China
出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)
年 卷 期：2022年第35卷第5期
页 面：733-745页
核心收录：
学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 0823[工学-交通运输工程]
基 金：supported by the National Natural Science Foundation of China(Nos.11902001,12132010) Postgraduate Scientific Research Project of Institutions of Higher Education in Anhui Province(YJS20210445) Anhui Provincial Natural Science Foundation(No.1908085QA13) the Middle-aged Top-notch Talent Program of Anhui Polytechnic University
主 题：Pipes conveying fluid Fractional-order viscoelastic damping Parametric vibration Stability Bifurcation
摘 要：Considering that the fluid-conveying pipes made of fractional-order viscoelastic material such as polymeric materials with pulsatile flow are widely applied in engineering,we focus on the stability and bifurcation behaviors in parametric resonance of a viscoelastic pipe resting on an elastic *** Riemann–Liouville fractional-order constitutive equation is used to accurately describe the viscoelastic *** on this,the nonlinear governing equations are established according to the Euler–Bernoulli beam theory and von Karman’s nonlinearity,with using the generalized Hamilton’s *** stability boundaries and steady-state responses undergoing parametric excitations are determined with the aid of the direct multiple-scale *** numerical examples are carried out to show the effects of fractional order and viscoelastic coefficient on the stability region and nonlinear bifurcation *** is noticeable that the fractional-order viscoelastic property can effectively reconstruct the dynamic behaviors,indicating that the stability of the pipes can be conspicuously enhanced by designing and tuning the fractional order of viscoelastic materials.
维普期刊数据库