Comparison of Nonlinear Dynamic Simulation of Lyapunov Exponent for a Cam and Different Translated Followers with Clearance

Comparison of Nonlinear Dynamic Simulation of Lyapunov Exponent for a Cam and Different Translated Followers with Clearance

Louay Alroomi

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San Diego State University

Comparison of Nonlinear Dynamic Simulation of Lyapunov Exponent for a Cam and Different Translated Followers with Clearance

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Abstract

In this paper, a cam with translated flat-faced and roller followers are analyzed. There is a clearance between the follower and the guide. The dynamic simulation is investigated taking into account the nonlinear dynamic of Lyapunov exponent parameter. The simulation has been done by using Solidworks program. The effect of follower guides’ clearances on follower non-periodicity is considered based on Lyapunov exponent technique. Nonlinear dynamic package is used to calculate largest Lyapunov exponent for different angular velocities of the cam. The power spectrum analysis of Fast Fourier Transform and phase plane contour are examined forfaced and roller followers non-periodicity. The flat- faced follower with follower guide’s clearance C=2 mm and cam rotational speed N=1200 rpm has more non-periodic motion than roller follower. The values of largest Lyapunov exponent for flat-faced follower are bigger than the values of largest Lyapunov exponent for roller follower at (C = 2 mm and N = 1200 rpm)

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Louay Alroomi. 2019. \u201cComparison of Nonlinear Dynamic Simulation of Lyapunov Exponent for a Cam and Different Translated Followers with Clearance\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 19 (GJRE Volume 19 Issue A2).

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GJRE Volume 19 Issue A2

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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Classification

GJRE-A Classification FOR Code: 290501

Submission ReceivedDecember 9, 2018
Peer Review Double Blind
Handling Editor
Accepted January 5, 2019
Published January 15, 2019

Version of record

v1.2

Issue date

July 16, 2019

Language

English

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