Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay-Reference-Cited by-同舟云学术

Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

Published:2012-04-03 Issue:3 Volume:7 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Bobrenkov Oleg A.¹,Nazari Morad²,Butcher Eric A.²

Affiliation:

1. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003oleg.bobrenkov@utdallas.edu.

2. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003

Abstract

Abstract In this paper, the analysis of delay differential equations with periodic coefficients and discontinuous distributed delay is carried out through discretization by the Chebyshev spectral continuous time approximation (ChSCTA). These features are introduced in the delayed Mathieu equation with discontinuous distributed delay which is used as an illustrative example. The efficiency of stability analysis is improved by using shifted Chebyshev polynomials for computing the monodromy matrix, as well as the adaptive meshing of the parameter plane. An idea for a method for numerical integration of periodic DDEs with discontinuous distributed delay based on existing MATLAB functions is proposed.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/7/3/031010/6689455/031010_1.pdf

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5. Delay Effects in Shimmy Dynamics of Wheels With Stretched String-Like Tires;Takács;Eur. J. Mech. A Solids

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