Effect of Local Dynamic Stability of a Ploydyne Cam with Translated Follower on Lyapunov Exponent Parameter Over a Range of Speeds

Dr. Louay S. Yousufa

Effect of Local Dynamic Stability of a Ploydyne Cam with Translated Follower on Lyapunov Exponent Parameter Over a Range of Speeds

Louay Alroomi * §

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louaysabah1979 §

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§ San Diego State University

Effect of Local Dynamic Stability of a Ploydyne Cam with Translated Follower on Lyapunov Exponent Parameter Over a Range of Speeds

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Abstract

This study quantized the relationship between local dynamic stability and the variation in cam rotational speeds. The dynamic analysis presents follower displacement driven by a cam rotating at a uniform angular velocity. There is a clearance between the follower and the guide. Maximum finitetime Lyapunov exponents were estimated to quantify local dynamic stability. Local stability of a follower attractor in the ydirection was shown to be achieved over multiple cam speeds. The variation in cam rotational speeds was associated with significant changes in Lyapunov exponent values. The numerical part of the dynamic model was investigated using Solid Works simulations. A Solid Works simulation is developed for the planar case using the block commands. Diferent follower guides’ clearances have been used in the simulations. An experimental set up is developed to capture the general planar motion of the cam and follower. The measures the follower positions are obtained through high-resolution optical encoders (markers). A good agreement between numerical and experimental parts was obtained.

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26. τ w : τ. τ w : τ

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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

Dr. Louay S. Yousufa, louaysabah1979. 2018. "Effect of Local Dynamic Stability of a Ploydyne Cam with Translated Follower on Lyapunov Exponent Parameter Over a Range of Speeds". Global Journal of Research in Engineering GJRE-A Volume 18 (GJRE Volume 18 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: 091399

Submission ReceivedDecember 13, 2017
Peer Review Double Blind
Handling Editor
Accepted January 5, 2018
Published October 20, 2018

Version of record

v1.2

Issue date

October 20, 2018

Language

English

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Total Score: 136

Country: United States

Subject: Global Journal of Research in Engineering

Authors: Dr. Louay S. Yousufa (PhD/Dr. count: 1)

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