The stabilization problem of a nonuniform Timoshenko beam system with controllers at the beam's right tip with rotor inertia is studied.First,with a special kind of linear boundary force feedback and moment contro...The stabilization problem of a nonuniform Timoshenko beam system with controllers at the beam's right tip with rotor inertia is studied.First,with a special kind of linear boundary force feedback and moment control existing simultaneously,the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t→∞.Then in other cases,some conditions for the corresponding closed loop system to be asymptotically stable are also derived.展开更多
In the Present study, free convection and heat transfer behavior of electrically conducting fluid in the boundary layer over a vertical continuously stretching surface is investigated. The effects of free convection, ...In the Present study, free convection and heat transfer behavior of electrically conducting fluid in the boundary layer over a vertical continuously stretching surface is investigated. The effects of free convection, magnetic field, suction/blowing at the surface and the stretching speed of the surface on the flow and heat transfer characteristics are considered. By applying one-parametric group theory to analysis of the problem, a similarity solution is found. The governing equations of continuity, momentum and energy are solved numerically by a fourth-order Runge-Kutta scheme. The numerical results, which are obtained for the flow and heat transfer characteristics, reveal the influences of the parameters.展开更多
基金This research is supported by the National Natural Science Foundation of China (00174008).
文摘The stabilization problem of a nonuniform Timoshenko beam system with controllers at the beam's right tip with rotor inertia is studied.First,with a special kind of linear boundary force feedback and moment control existing simultaneously,the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t→∞.Then in other cases,some conditions for the corresponding closed loop system to be asymptotically stable are also derived.
文摘In the Present study, free convection and heat transfer behavior of electrically conducting fluid in the boundary layer over a vertical continuously stretching surface is investigated. The effects of free convection, magnetic field, suction/blowing at the surface and the stretching speed of the surface on the flow and heat transfer characteristics are considered. By applying one-parametric group theory to analysis of the problem, a similarity solution is found. The governing equations of continuity, momentum and energy are solved numerically by a fourth-order Runge-Kutta scheme. The numerical results, which are obtained for the flow and heat transfer characteristics, reveal the influences of the parameters.