Parametric Modeling and Real Time Remote Experimentation of a Reconfigurable Coupled Pendulum

Rajpal, Rohit; Kant, Mohit; Kuchibhatla, Sai Aditya Raman; Gangadharan, K. V.

doi:10.1016/j.matpr.2018.10.210

Cited by 2 publications

(3 citation statements)

References 12 publications

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“…We begin from some methods of forcing of the analyzed dynamical system. Work [6] proves the effectiveness of real experimental data of reconfiguration of coupled pendulums on a data flow visual programming using LabVIEW. The Lyapunov exponents and forcing amplitude in controlling the chaotic motion of a driven pendulum is studied in [7].…”

Section: Introductionmentioning

confidence: 72%

“…After seeing the various analysis of the variable-length pendulum presented by different authors on different models, using different approaches, below are distinguish applications of the variable-length pendulum systems. There are various areas of application of these forms of pendulums, which include: energy harvesters (for example, in WEC), load-lifting devices (in cranes), robotics [4,6,[41][42][43][44][45][46][47], and a pendulum-like robot in [29][30][31], to mention but a few.…”

Section: Applicationsmentioning

confidence: 99%

“…In [6], a numerical simulation on the parametric equation of a pendulum and a real-time remote experimentation is conducted, as shown in Fig. 17.…”

Section: Applicationsmentioning

confidence: 99%

See 2 more Smart Citations

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

Yakubu

Olejnik

Awrejcewicz

2022

Arch Computat Methods Eng

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A comprehensive review of variable-length pendulums is presented. An attempt at a unique evaluation of current trends in this field is carried out in accordance with mathematical modeling, dynamical analysis, and original computer simulations. Perspectives of future trends are also noted on the basis of various concepts and possible theoretical and engineering applications. Some important physical concepts are verified using dedicated numerical procedures and assessed based on dynamical analysis. At the end of the review, it is concluded that many variable-length pendulums are very demanding in the modeling and analysis of parametric dynamical systems, but basic knowledge about constant-length pendulums can be used as a good starting point in providing much accurate mathematical description of physical processes. Finally, an extended model for a variable-length pendulum’s mechanical application being derived from the Swinging Atwood Machine is proposed. The extended SAM presents a novel SAM concept being derived from a variable-length double pendulum with a suspension between the two pendulums. The results of original numerical simulations show that the extended SAM’s nonlinear dynamics presented in the current work can be thoroughly studied, and more modifications can be achieved. The new technique can reduce residual vibrations through damping when the desired level of the crane is reached. It can also be applied in simple mechatronic and robotic systems.

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Section: Introductionmentioning

confidence: 72%

Section: Applicationsmentioning

confidence: 99%

See 1 more Smart Citation

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

Yakubu

Olejnik

Awrejcewicz

2022

Arch Computat Methods Eng

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A double variable-length pendulum with counterweight mass, kinematic excitation and electromagnetic forcing

Olejnik,

Yakubu,

Pepa

et al. 2023

Nonlinear Dyn

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This study introduces a novel double variable-length cable pendulum model and experimental setup featuring elastic suspension and counterweight mass. Our main goal is to investigate the complex dynamics resulting from variable length’s impact on vibration frequency and amplitude. Through numerical simulations and experiments, we explore the system’s response to different external forces. Utilizing methods like phase plots, bifurcation diagrams, and Lyapunov exponents, we delve into nonlinear dynamics. We also use vision-based techniques to assess friction damping-related vibrations and magnetic field interactions. The results reveal diverse behaviors, including chaotic and periodic oscillations, shedding light on control functions and parameter relationships. The developed cable system captures intricate nonlinear dynamics and attains stable vibration modes, as confirmed by vision-based measurements. This platform can analyze and control irregular dynamics in systems with elastically suspended weights driven by motors or mobile cranes. Its nature, encompassing kinematic excitation, electromagnetic interactions, and sliding friction, allows for exploring complex nonlinear dynamics. The system’s capacity to modulate vibration frequencies contributes to mitigating persistent vibrations.

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Parametric Modeling and Real Time Remote Experimentation of a Reconfigurable Coupled Pendulum

Cited by 2 publications

References 12 publications

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

A double variable-length pendulum with counterweight mass, kinematic excitation and electromagnetic forcing

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