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A fully-coupled three-dimensional fluid-structure interaction study on the externally-pressurized collapsible tube and the internal flow

Zhang Sen, Liu HaoFei

Journal of Theoretical and Applied Mechanics

2023

Vol. 61 nr 2

395--406

We study the behavior of a collapsible tube conveying a fluid subject to external pressure that could occur in many physiological applications. The method of rotating spines is developed to enable an automatic mesh adaptation when the tube is deformed largely. We examine bifurcation diagrams when the tube is collapsed under a pressure driven condition and reveal that multiple solutions exist for a range of the Reynolds number. The stability characteristic of the system is discovered by determining stability of these solutions by the eigenvalue method for the first time, which is validated by solving a time-dependent problem of the system.

A new 4-D dynamical system exhibiting chaos with a line of rest points, its synchronizationand circuit model

Vaidyanathan Sundarapandian, Sambas Aceng, Zhang Sen

Archives of Control Sciences

2019

Vol. 29, No. 3

485--506

A new 4-D dynamical system exhibiting chaos is introduced in this work. The proposed nonlinear plant with chaos has an unstable rest point and a line of rest points. Thus, the new nonlinear plant exhibits hidden attractors. A detailed dynamic analysis of the new nonlinear plant using bifurcation diagrams is described. Synchronization result of the new nonlinear plant with itself is achieved using Integral Sliding Mode Control (ISMC). Finally, a circuit modelusing MultiSim of the new 4-D nonlinear plant with chaos is carried out for practical use.