Archive of Applied Mechanics

, Volume 88, Issue 8, pp 1349–1368 | Cite as

Vibration performance of a vertical conveyor system under two simultaneous resonances

  • H. S. Bauomy
  • A. T. EL-Sayed


This study focused on the vibration behavior of a modified vertical conveyor system. The calculated system is exhibited by 2-degree-of-freedom counting quadratic and cubic nonlinearities among both external and parametric forces. Technique of multiple scales connected to gain approximate solutions and study stability of measured structure. All resonances from mathematical solution are extracted. The performance of the system is measured by means of Runge–Kutta fourth-order process (e.g., ode45 in MATLAB). Moreover, two simultaneous resonance cases of this system have been studied analytically and numerically. Stability of acquired numerical solution discovered via frequency response equations. Influences contained by important coefficients scheduled frequency response curves of the considered structure are studied inside numerical results. Methodical results obtained in this work agreed well through the numerical outcome. The description outcome is matched up to available recently published articles.


Vertical conveyor Simultaneous resonances Multiple time scales Vibration behavior Stability 



Authors are really grateful for the comments of referees and suggestion pro-civilizing worth of considered manuscript.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, College of Arts and Science in Wadi AddawasirPrince Sattam Bin Abdulaziz UniversityWadi AddawasirSaudi Arabia
  2. 2.Department of Basic SciencesModern Academy for Engineering and TechnologyCairoEgypt
  3. 3.Department of Mathematics, Faculty of ScienceZagazig UniversityZagazigEgypt

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