The Vibration reduction of a cantilever beam subjected to parametric excitation using time delay feedback | Zendy

Y. A. Amer | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Y. A. Amer

Publication year - 2017

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v13i2.5971

Subject(s) - cantilever , parametric statistics , mathematics , multiple scale analysis , control theory (sociology) , matlab , resonance (particle physics) , amplitude , perturbation (astronomy) , vibration , parametric oscillator , beam (structure) , excitation , maple , mathematical analysis , physics , acoustics , optics , atomic physics , control (management) , structural engineering , computer science , quantum mechanics , engineering , statistics , artificial intelligence , operating system , botany , biology

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research