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

α
Louay Alroomi
Louay Alroomi
σ
Dr. Louay S. Yousufa
Dr. Louay S. Yousufa
α San Diego State University San Diego State University

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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.

References

26 Cites in Article
  1. Y Ünlüsoy,S Tümer (1994). Non-linear Dynamic Model and Its Solution for a High Speed Cam Mechanism with Coulomb Friction.
  2. H Hamidzadeh,M Dehghani (1999). Dynamic stability of flexible cam follower systems.
  3. M Tounsi,R Hbaieb,F Chaari,T Fakhfakh,M Haddar (2009). Dynamic stability analysis of a flexible cam mechanism using a one-degree-of-freedom model.
  4. Livija Cveticanin (2007). Stability of motion of the cam–follower system.
  5. Jie Guo,Wenping Zhang,Xinyu Zhang,Yipeng Cao (2014). Dynamic and exciting analysis with modal characteristics for valve train using a flexible model.
  6. Wensyang Hsu,A Pisano (1996). Modeling of a Finger-Follower Cam System With Verification in Contact Forces.
  7. C Chuang (1995). Minimizing residual vibrations in highspeed cam-foilower systems over a range of speeds.
  8. B Fabien,R Longman,F Freudenstein (1994). The Design of High-Speed Dwell-Rise-Dwell Cams Using Linear Quadratic Optimal Control Theory.
  9. R Alzate,M Di Bernardo,U Montanaro,S Santini (2007). Experimental and numerical verification of bifurcations and chaos in cam-follower impacting systems.
  10. Hong-Sen Yan,Mi-Ching Tsai,Meng-Hui Hsu (1996). A Variable-Speed Method for Improving Motion Characteristics of Cam-Follower Systems.
  11. C Bagci,S Kurnool (1997). Exact response analysis and dynamic design of cam-follower systems using laplace transforms.
  12. Michael Rosenstein,James Collins,Carlo De Luca (1993). A practical method for calculating largest Lyapunov exponents from small data sets.
  13. Jonathan Dingwell,Joseph Cusumano (2000). Nonlinear time series analysis of normal and pathological human walking.
  14. Michael Rosenstein,James Collins,Carlo De Luca (1994). Reconstruction expansion as a geometry-based framework for choosing proper delay times.
  15. J Dingwell,J Cusumano,P Cavanagh,D Sternad (2001). Local dynamic stability versus kinematic variability of continuous overground and treadmill walking.
  16. D Broomhead,Gregory King (1986). Extracting qualitative dynamics from experimental data.
  17. A Mees,P Rapp,L Jennings (1987). Singular-value decomposition and embedding dimension.
  18. A Albano,J Muench,C Schwartz,A Mees,P Rapp (1988). Singular-value decomposition and the Grassberger-Procaccia algorithm.
  19. J Martinerie,A Albano,A Mees,P Rapp (1992). Mutual information, strange attractors, and the optimal estimation of dimension.
  20. Thomas Schreiber,Andreas Schmitz (2000). Surrogate time series.
  21. J-P Eckmann,D Ruelle (1995). Ergodic theory of chaos and strange attractors.
  22. K Son,J Park,S Park (2009). Variability analysis of lower extremity joint kinematics during walking in healthy young adults.
  23. Y Unlusoy,S Tumer,; Jiang,Y Iwai,H Su (2007). Minimizing and restricting vibrations in high-speed cam-follower systems over a range of speeds.
  24. Rainer Hegger,Holger Kantz,Thomas Schreiber (1999). Practical implementation of nonlinear time series methods: The <scp>TISEAN</scp> package.
  25. D Planchard (2017). Animation with SolidWorks Motion.
  26. τ w : τ.

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. 2018. \u201cEffect of Local Dynamic Stability of a Ploydyne Cam with Translated Follower on Lyapunov Exponent Parameter Over a Range of Speeds\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics 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

Keywords
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GJRE-A Classification: FOR Code: 091399
Version of record

v1.2

Issue date

October 20, 2018

Language
en
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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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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
Dr. Louay S. Yousufa

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