The Vibration reduction of a cantilever beam subjected to parametric excitation using time delay feedback
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 2
Abstract
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.
Authors and Affiliations
Y A Amer
Keywords
Related Articles
- EP ID EP651807
- DOI 10.24297/jam.v13i2.5971
- Views 157
- Downloads 0
Basis of Hecke algebras - associated to Coxeter groups - via matrices of inversion for permutations
Applying the matrices of inversion for permutations, we show that every element of S_{n} associates a unique canonical word in the Hecke algebra H_{n-1}(z). That provides an effective and simple algorithm for counting a...
On Group Von Neumann Algebras with Vector-Valued Functions
Let G be a locally compact group equipped with a normalized Haar measure , A(G) the Fourier algebraof G and V N(G) the von Neumann algebra generated by the left regular representation of G. In this paper, we introduce th...
Comparative Linear Classification Splicing
The conventional Fisher linear classification analysis has been investigated by numerous researchers and this has led to different modification or splicing due to non- robustness when the assumptions are violated and als...
Debt Management and the Developing Nationts Economy: A Stochastic Optimal Control Analysis
This paper explores the usefulness of a stochastic optimal control analysis to discourage the less developed nations from borrowing funds from the more developed ones to service their investments (or worst still to servi...
Eigenvalue Problem with Moving Discontinuity Points
In this paper, we present a Sturm Liouville problem which has discontinuities in the neighborhood of the midpoint of an interval. Also the problem contains an eigenparameter in one of the boundary conditions. We derive o...