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Shock and Vibration
Volume 2014 (2014), Article ID 203709, 32 pages
http://dx.doi.org/10.1155/2014/203709
Research Article

3 DOF Spherical Pendulum Oscillations with a Uniform Slewing Pivot Center and a Small Angle Assumption

1Manufacturing Processes and Automation Engineering Department, Engineering Automation Faculty, Donbass State Engineering Academy, Shkadinova 72, Donetsk Region, Kramatorsk 84313, Ukraine
2Department of Technical Mechanics, Engineering Automation Faculty, Donbass State Engineering Academy, Shkadinova 72, Donetsk Region, Kramatorsk 84313, Ukraine

Received 11 February 2014; Revised 7 May 2014; Accepted 21 May 2014; Published 4 August 2014

Academic Editor: Mickaël Lallart

Copyright © 2014 Alexander V. Perig et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Byung-Yoon Moon, Sung-Rak Hong, Manh-Tuan Ha, and Chul-Goo Kang, “Real-time motion tracking detection system for a spherical pendulum using a USB camera,” Transactions of the Korean Society of Mechanical Engineers, A, vol. 40, no. 9, pp. 807–813, 2016. View at Publisher · View at Google Scholar
  • Alexander A. Kostikov, Alexander V. Perig, Denys Yu. Mikhieienko, and Ruslan R. Lozun, “Numerical JModelica.org-based approach to a simulation of Coriolis effects on guided boom-driven payload swaying during non-uniform rotary crane boom slewing,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2016. View at Publisher · View at Google Scholar
  • Alexander A. Kostikov, Alexander V. Perig, and Ruslan R. Lozun, “Simulation-assisted teaching of graduate students in transport: A case study of the application of acausal freeware JModelica.org to solution of Sakawa's open-loop optimal control problem for payload motion during crane boom rotation,” International Journal of Mechanical Engineering Education, vol. 45, no. 1, pp. 3–27, 2017. View at Publisher · View at Google Scholar
  • Alexander V. Perig, Alexander N. Stadnik, Alexander A. Kostikov, and Sergey V. Podlesny, “Research into 2D Dynamics and Control of Small Oscillations of a Cross-Beam during Transportation by Two Overhead Cranes,” Shock and Vibration, vol. 2017, pp. 1–21, 2017. View at Publisher · View at Google Scholar
  • Li Shuhang, and Jiang Fanghua, “Existence and Stability Analysis on Circular Motion of Pendulums With Uniformly Rotating Pivots,” Applied Mathematics and Mechanics, vol. 39, no. 2, pp. 183–198, 2018. View at Publisher · View at Google Scholar