Closed-Form Solutions to a Forced Damped Rotational Pendulum Oscillator
In this investigation, some analytical solutions to both conserved and non-conserved rotational pendulum systems are reported. The exact solution to the conserved oscillator (unforced, undamped rotational pendulum oscillator), is derived in the form of a Jacobi elliptical function. Moreover, an appr...
| Published in: | Mathematics |
|---|---|
| Main Authors: | Alvaro H. Salas, Ma’mon Abu Hammad, Badriah M. Alotaibi, Lamiaa S. El-Sherif, Samir A. El-Tantawy |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
|
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/21/4000 |
Similar Items
Very Large Angular Oscillations (Up to 3π/4) of the Physical Pendulum—A Simple Trigonometric Analytical Solution
by: Joao C. Fernandes
Published: (2025-09-01)
by: Joao C. Fernandes
Published: (2025-09-01)
Dynamic analysis of simple pendulum model under variable damping
by: Jin Wang, et al.
Published: (2022-12-01)
by: Jin Wang, et al.
Published: (2022-12-01)
Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators
by: Weaam Alhejaili, et al.
Published: (2023-04-01)
by: Weaam Alhejaili, et al.
Published: (2023-04-01)
Analytical and Numerical Study on Forced and Damped Complex Duffing Oscillators
by: Weaam Alhejaili, et al.
Published: (2022-11-01)
by: Weaam Alhejaili, et al.
Published: (2022-11-01)
Research on the Measurement Technology of Rotational Inertia of Rigid Body Based on the Principles of Monocular Vision and Torsion Pendulum
by: Yeqing Chen, et al.
Published: (2023-05-01)
by: Yeqing Chen, et al.
Published: (2023-05-01)
From linear to non-linear/chaotic pendulum: a computational study
by: Chhabi Kumar Shrestha, et al.
Published: (2025-05-01)
by: Chhabi Kumar Shrestha, et al.
Published: (2025-05-01)
Usando o Excel para medidas de intervalo de tempo no laboratório de Física
by: Jalves S. Figueira, et al.
by: Jalves S. Figueira, et al.
Pendulum attached to a vibrating point: Semi-analytical solution by optimal and modified homotopy perturbation method
by: Tapas Roy, et al.
Published: (2025-01-01)
by: Tapas Roy, et al.
Published: (2025-01-01)
AN EXPERIMENTAL STUDY ON PERFORMANCE OF SHAPE MEMORY ALLOY SUSPENSION PENDULUM DAMPING SYSTEM
by: Ergang Xiong, et al.
Published: (2019-10-01)
by: Ergang Xiong, et al.
Published: (2019-10-01)
Geometrical Analysis in the Study of Body Oscillations of Complex Configuration in the Medium Flow
by: Dmitry Belyakov
Published: (2022-07-01)
by: Dmitry Belyakov
Published: (2022-07-01)
The Transition to Chaos of Pendulum Systems
by: Grzegorz Litak, et al.
Published: (2022-09-01)
by: Grzegorz Litak, et al.
Published: (2022-09-01)
Stability Study of Double and Spherical Pendulum
by: Thair Thanoon, et al.
Published: (2012-12-01)
by: Thair Thanoon, et al.
Published: (2012-12-01)
Fifth-order AGM-formula for the period of a large-angle pendulum
by: Akuro Big-Alabo
Published: (2023-07-01)
by: Akuro Big-Alabo
Published: (2023-07-01)
Tracking the Acceleration Due to Gravity and Damping of a Pendulum: A Video Analysis
by: Frank Angelo Pacala, et al.
Published: (2023-08-01)
by: Frank Angelo Pacala, et al.
Published: (2023-08-01)
The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control
by: Kadierdan Kaheman, et al.
Published: (2023-09-01)
by: Kadierdan Kaheman, et al.
Published: (2023-09-01)
Kuramoto Phase Model with Inertia: Bifurcations Leading to the Loss of Synchrony and to the Emergence of Chaos
by: V. N. Belykh, et al.
Published: (2015-10-01)
by: V. N. Belykh, et al.
Published: (2015-10-01)
Modeling Bifurcation-Driven Self-Rotation and Pendulum in a Light-Powered LCE Fiber Engine
by: Yong Yu, et al.
Published: (2025-10-01)
by: Yong Yu, et al.
Published: (2025-10-01)
Applicability of the Instrumented Pendulum Test for Assessing Limb Viscoelastic Properties in Neurological and Internal Diseases: A Narrative Review
by: Maria Stella Valle, et al.
Published: (2025-03-01)
by: Maria Stella Valle, et al.
Published: (2025-03-01)
Simple pendulum in a rotating reference frame
by: David Velasco Villamizar
Published: (2024-06-01)
by: David Velasco Villamizar
Published: (2024-06-01)
Construction and analysis of nonlinear oscillation modes of a three-link pendulum by asymptotic methods
by: Smirnov, Alexey S., et al.
Published: (2024-11-01)
by: Smirnov, Alexey S., et al.
Published: (2024-11-01)
A nonlinear analysis on the three oscillation modes of a bifilar suspension pendulum (1) (Formulation of nonlinear oscillation problem and primary resonance analysis of one degree of freedom nonlinear inertia type forced damping systems)
by: Toshio FUNADA
Published: (2019-04-01)
by: Toshio FUNADA
Published: (2019-04-01)
Designing of the multimedia presentations on the example of the section: «Mechanical oscillations and waves» and their use in high school and school courses of physics
by: L.F. Ilyina, et al.
Published: (2017-06-01)
by: L.F. Ilyina, et al.
Published: (2017-06-01)
Modeling, Simulation, and Analysis of a Variable-Length Pendulum Water Pump
by: Godiya Yakubu, et al.
Published: (2021-12-01)
by: Godiya Yakubu, et al.
Published: (2021-12-01)
Nonlinear Controller for an Inverted Pendulum Using the Trigonometric Function
by: Michal Lower
Published: (2023-11-01)
by: Michal Lower
Published: (2023-11-01)
A global-local approach to the design of dynamic vibration absorber for damped inverted pendulum structures
by: N. D. Anh, et al.
Published: (2015-02-01)
by: N. D. Anh, et al.
Published: (2015-02-01)
The investigation of a physical pendulum motion, which move along a horizontal axis
by: О. Ляшук, et al.
Published: (2022-06-01)
by: О. Ляшук, et al.
Published: (2022-06-01)
Performance and Stability Margins Comparison of Pole Placement and Optimal Controllers using Cart-Inverted Pendulum System
by: Mubashir Usman
Published: (2021-12-01)
by: Mubashir Usman
Published: (2021-12-01)
On the existence of periodic oscillations for pendulum-type equations
by: Cid J. Ángel
Published: (2020-05-01)
by: Cid J. Ángel
Published: (2020-05-01)
UNILATERAL DISTALIZATION OF MAXILLARY MOLAR BY PENDULUM APPLIANCE
by: Safra Mauna, et al.
Published: (2006-04-01)
by: Safra Mauna, et al.
Published: (2006-04-01)
Towards Nonlinear Magnetic Rotating Pendula for Low-Frequency Weak Vibration Energy Harvesting
by: Mihai Ionut Trandafir, et al.
Published: (2025-04-01)
by: Mihai Ionut Trandafir, et al.
Published: (2025-04-01)
Measurement of Phase Difference for Micromachined Gyros Driven by Rotating Aircraft
by: Wei Zhang, et al.
Published: (2013-08-01)
by: Wei Zhang, et al.
Published: (2013-08-01)
Pendulum Energy Harvesters: A Review
by: Jiatong Chen, et al.
Published: (2022-11-01)
by: Jiatong Chen, et al.
Published: (2022-11-01)
GALILEO’S PENDULUM AS A MAGNETIC BALANCE FOR STUDYING CHEMICAL MAGNETISM AT HOME
by: Henrique E. Toma
Published: (2021-03-01)
by: Henrique E. Toma
Published: (2021-03-01)
A Contactless Coupled Pendulum and Piezoelectric Wave Energy Harvester: Model and Experiment
by: Wuwei Feng, et al.
Published: (2024-02-01)
by: Wuwei Feng, et al.
Published: (2024-02-01)
Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders
by: Vasile Marinca, et al.
Published: (2020-08-01)
by: Vasile Marinca, et al.
Published: (2020-08-01)
Crane automation and mechanical damping methods
by: Serkan Beller, et al.
Published: (2021-06-01)
by: Serkan Beller, et al.
Published: (2021-06-01)
FLUCTUATIONS OF THE CARGO TRANSPORTED BY LIFTING CRANE: SIMULATION AND ANALYSIS
by: M. S. Korytov, et al.
Published: (2019-11-01)
by: M. S. Korytov, et al.
Published: (2019-11-01)
Non-Invasive Position Measurement of a Spatial Pendulum Using Infrared Distance Sensors
by: Marco Carpio, et al.
Published: (2025-07-01)
by: Marco Carpio, et al.
Published: (2025-07-01)
Chaotic orbits of a pendulum with variable length
by: Massimo Furi, et al.
Published: (2004-03-01)
by: Massimo Furi, et al.
Published: (2004-03-01)
An innovative methodology in analyzing certain pendulum oscillators
by: Galal M. Moatimid, et al.
Published: (2025-05-01)
by: Galal M. Moatimid, et al.
Published: (2025-05-01)
Similar Items
-
Very Large Angular Oscillations (Up to 3π/4) of the Physical Pendulum—A Simple Trigonometric Analytical Solution
by: Joao C. Fernandes
Published: (2025-09-01) -
Dynamic analysis of simple pendulum model under variable damping
by: Jin Wang, et al.
Published: (2022-12-01) -
Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators
by: Weaam Alhejaili, et al.
Published: (2023-04-01) -
Analytical and Numerical Study on Forced and Damped Complex Duffing Oscillators
by: Weaam Alhejaili, et al.
Published: (2022-11-01) -
Research on the Measurement Technology of Rotational Inertia of Rigid Body Based on the Principles of Monocular Vision and Torsion Pendulum
by: Yeqing Chen, et al.
Published: (2023-05-01)
