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 168
- Downloads 0
Principally Quasi injective system over monoid
In this work , principally quasi injective system has been introduced and studied , which is a generalization of quasi injective system . We obtain a characterizations of PQ-injective systems , conditions on which,...
Oscillation Results for First Order Nonlinear Neutral Dierence Equation with \Maxima"
In this paper we consider the rst order nonlinear neutral dierenceequation with maxima of the form:and established some sucient conditions for the oscillation of all solutions of the above equation. Examples are provided...
M (X)/G/1 WITH TWO PHASE OF HETEROGENEOUS SERVICE UNDER DIFFERENT VACATION POLICY , RESTRICTED ADMISSIBILITY AND SET UP
In this paper, we consider a batch arrival queueing system with two stage of heterogeneous service with different vacation policy subject to Restricted admissibility and set up time is considered. Customers arrive...
Reacting Laminar flow with Applied Magnetic Field in a Channel filled with Saturated Porous Media
In this work, we examined reacting laminar flow of a third grade fluid in a channel filled with saturated porous media under the effect of applied magnetic field and variable thermal conductivity. It is assum...
MATHEMATICAL ANALYSIS OF THE ROLE OF DETECTION RATE IN THE DYNAMICAL SPREAD OF HIV-TB CO-INFECTION
Human Immunodeficiency Virus (HIV) co-existing with Tuberculosis (TB) in individuals remains a major global health challenges, with an estimated 1.4 million patients worldwide. These two diseases are enormous public heal...