2022
DOI: 10.1002/rnc.6471
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Feedback control of actuation‐constrained moving structure carrying Timoshenko beam

Abstract: This article deals with tracking control and active vibration suppression of a hybrid rigid‐elastic vibrational mobile system with a nonlinear elastic foundation in the presence of actuator bandwidth limitation and control input saturation. The system consists of a rigid rectilinearly mobile frame on an elastic foundation, and a flexible Timoshenko beam clamped to it with a heavy attached concentrated mass. The hybrid partial differential equation (PDE)‐ordinary differential equation (ODE) system of the plant … Show more

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Cited by 11 publications
(12 citation statements)
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“…According to the theorems of fexible beam vibrations, in the simplest case, instead of Structural Control and Health Monitoring a beam, a spring with a stifness coefcient based on the beam defection equation can be considered. According to the well-known theories of Euler-Bernoulli or Timoshenko [11], this equivalent stifness coefcient corresponds to the frst vibrational mode of the fexible beam system. On the other hand, since the beam support base is connected to a nonlinear impedance confguration, it is no longer possible to analytically determine and solve the governing equations, which are a set of coupled PDE and ODE equations, by the method of separation of variables or the popular technique of assume modes [5].…”
Section: Modeling Of a Equivalent Rigid Body Of The Moving Supportmentioning
confidence: 99%
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“…According to the theorems of fexible beam vibrations, in the simplest case, instead of Structural Control and Health Monitoring a beam, a spring with a stifness coefcient based on the beam defection equation can be considered. According to the well-known theories of Euler-Bernoulli or Timoshenko [11], this equivalent stifness coefcient corresponds to the frst vibrational mode of the fexible beam system. On the other hand, since the beam support base is connected to a nonlinear impedance confguration, it is no longer possible to analytically determine and solve the governing equations, which are a set of coupled PDE and ODE equations, by the method of separation of variables or the popular technique of assume modes [5].…”
Section: Modeling Of a Equivalent Rigid Body Of The Moving Supportmentioning
confidence: 99%
“…In this situation, an important concern for the plausible performance of the specifed objective is to minimize the vibrations transmitted to the equipment mounted on the fexible arm. In such cases, because the control forces are applied to the moving support and are not applied directly to the equipment coordinate, the defned output of the control system has linear or nonlinear dynamics based on the measured state variables [5,11]. However, in many feedback control systems, the relationship between output and system state variables is often algebraic and linear.…”
Section: Introductionmentioning
confidence: 99%
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