Primary and secondary resonance analyses of a cantilever beam carrying an intermediate lumped mass with time-delay feedback

2019 ◽  
Vol 97 (2) ◽  
pp. 1175-1195 ◽  
Author(s):  
Chun-Xia Liu ◽  
Yan Yan ◽  
Wen-Quan Wang
Keyword(s):  
Time Delay ◽  
Cantilever Beam ◽  
Secondary Resonance ◽  
Lumped Mass

Approximate Solutions to a Cantilever Beam Using Optimal Homotopy Asymptotic Method

2013 ◽  
Vol 430 ◽  
pp. 22-26 ◽  
Author(s):  
Vasile Marinca ◽  
Nicolae Herisanu ◽  
Traian Marinca
Keyword(s):  
Small Parameter ◽  
Cantilever Beam ◽  
Asymptotic Method ◽  
Approximate Solutions ◽  
Lumped Mass ◽  
Engineering Problems ◽  
Approximate Frequency ◽  
Optimal Homotopy Asymptotic Method ◽  
Analytical Expressions

The response of a cantilever beam with a lumped mass attached to its free end subject to harmonical excitation at the base is investigated by means of the Optimal Homotopy Asymptotic Method (OHAM). Approximate accurate analytical expressions for the solutions and for approximate frequency are determined. This method does not require any small parameter in the equation. The obtained results prove that our method is very accurate, effective and simple for investigation of such engineering problems.

scholarly journals The Vibration reduction of a cantilever beam subjected to parametric excitation using time delay feedback

2017 ◽  
Vol 13 (2) ◽  
pp. 7186-7193
Author(s):  
Y A Amer
Keyword(s):  
Time Delay ◽  
Cantilever Beam ◽  
Parametric Excitation ◽  
Order Approximation ◽  
Perturbation Technique ◽  
Dynamical Behavior ◽  
Multiple Scale ◽  
Steady State Solution ◽  
State Feedback Control ◽  
Resonance Case

In this paper, dynamical behavior of a cantilever beam subject to parametric excitation under state feedback control with time delay is analyzed. The method of multiple scale perturbation technique is applied to obtain the solution up to the first order approximation. We obtain equations for the amplitude and phase. We studied all resonance cases numerically. Stability of the steady state solution for the selected resonance case is studied applying Rung-Kutta fourth method and frequency response equation via Matlab 7.0 and maple 16. From the results, it can be seen that the frequency and amplitude responses for the selected resonance case can be affected by the time delayed control. Effects of different parameters of the system are studied.

Experimental investigation of vibration attenuation on a cantilever beam using air-jet pulses with the particle swarm optimized quasi bang–bang controller

2020 ◽  
pp. 107754632097116
Author(s):  
Berkan Hizarci ◽  
Zeki Kiral
Keyword(s):  
Cantilever Beam ◽  
Control Method ◽  
Particle Swarm ◽  
Element Model ◽  
Lumped Mass ◽  
External Disturbances ◽  
Air Jet ◽  
Vibration Attenuation ◽  
Bang Bang Control ◽  
And Control

This study deals with the vibration reduction of a cantilever beam using air-jet thruster actuators controlled by the particle swarm optimized quasi bang–bang controller. In this study, the finite element model of a cantilever beam with the lumped mass of actuators is formed for the numerical simulations. Furthermore, the first-order plus dead time transfer function of the air-jet thruster actuator is found between the inlet pressure and the thrust. The quasi bang–bang control is proposed to suppress vibrations on the beam with impulsive air-jet pulses. The optimal location of the actuators and control parameters are determined with parametric study and particle swarm optimization, respectively. The performance of the control method is measured with the experiments of initial displacement, the presence of tip masses, and external disturbances. According to all results obtained in this study, it has been observed that the air-jet pulses successfully and rapidly attenuate vibration on the cantilever beam with the quasi bang–bang controller.

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