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Home > Archives > Volume 20, No 8 (2022) > Article

DOI: 10.14704/nq.2022.20.8.NQ44804

Comparison between negative velocity feedback control and time delay velocity control of a nonlinear beam

𝑯. 𝑴𝒐𝒔𝒂𝒂, 𝑴. 𝑲𝒂𝒎𝒆𝒍, 𝑯. 𝑬𝒍 − 𝑮𝒐𝒉𝒂𝒓𝒚, 𝑳. 𝑺. 𝑫𝒊𝒂𝒃, 𝑯. 𝑴. 𝑺𝒉𝒂𝒘𝒌


In that work, vibrations for the nonlinear beam under harmonic external forcing are investigated and studied. Vibration control is discussed by using both the negative velocity feedback and the time delay. The multiple scale perturbation technique (MSPT) is utilized to study the approximate solutions for the given beam system. Stability investigations are studied close to the primary resonance case (   1 ) to reach the frequency response equations (FRE). The beam system's time history figures and various response curves prior to and after control are investigated numerically. Numerical results of the effects of various parameters illustrated the best conditions for reducing the vibration. The obtained results demonstrated that the negative velocity feedback control's efficiency is superior to the time delay control. Lastly, the solution of analytical and numerical accord well with one another.


Nonlinear beam, vibration control, feedback control, stability, time delay

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