Modelling and Analysis of Computer Experiments Using a Simple Pendulum Model

Author(s):  
Kazeem Adewale Osuolale
2007 ◽  
Vol 14 (1) ◽  
pp. 53-64 ◽  
Author(s):  
G. Peláez ◽  
J. Doval-Gandoy ◽  
N. Caparrini ◽  
J.C. García-Prada

An investigation of the response of a physical pendulum to time delay filtered inputs was conducted. It was shown that the physical pendulum model is more accurate than the simple pendulum for modelling the dynamic response of overhead cranes with loads hanging from hooks. Based on the physical pendulum model a Specified Time Delay filter for an experimental mini overhead crane was synthesized. While somewhat limited in the scope by the hardware conditions placed in the system, the results provide basic insights into the successful application of the Time Delay Filtering method to overhead cranes.


The Pendulum ◽  
2006 ◽  
pp. 67-76
Author(s):  
César Medina ◽  
Sandra Velazco ◽  
Julia Salinas

2021 ◽  
Vol 15 ◽  
Author(s):  
Longbin Zhang ◽  
Yixing Liu ◽  
Ruoli Wang ◽  
Christian Smith ◽  
Elena M. Gutierrez-Farewik

Exoskeletons are increasingly used in rehabilitation and daily life in patients with motor disorders after neurological injuries. In this paper, a realistic human knee exoskeleton model based on a physical system was generated, a human–machine system was created in a musculoskeletal modeling software, and human–machine interactions based on different assistive strategies were simulated. The developed human–machine system makes it possible to compute torques, muscle impulse, contact forces, and interactive forces involved in simulated movements. Assistive strategies modeled as a rotational actuator, a simple pendulum model, and a damped pendulum model were applied to the knee exoskeleton during simulated normal and fast gait. We found that the rotational actuator–based assistive controller could reduce the user's required physiological knee extensor torque and muscle impulse by a small amount, which suggests that joint rotational direction should be considered when developing an assistive strategy. Compared to the simple pendulum model, the damped pendulum model based controller made little difference during swing, but further decreased the user's required knee flexor torque during late stance. The trade-off that we identified between interaction forces and physiological torque, of which muscle impulse is the main contributor, should be considered when designing controllers for a physical exoskeleton system. Detailed information at joint and muscle levels provided in this human–machine system can contribute to the controller design optimization of assistive exoskeletons for rehabilitation and movement assistance.


2019 ◽  
Vol 65 (2 Jul-Dec) ◽  
pp. 213
Author(s):  
O. Aguilar-Loreto ◽  
A. Muñoz ◽  
And A. Jiménez Pérez

The Lagrangian formulation has been an extensive tool for the analysis of physical systems. In particular, we have applied the Lagrangian procedure to deduce the dynamics and stability for an electric pendulum system. We have considered two cases, a repulsive and attractive electric interactions as perturbations to the classical simple pendulum model. We study both cases, the repulsive and attractive electric interactions that can be considered as perturbations to the classical simple pendulum model. We have contrast both situations studying their restrictions, phase trajectories and stability points for this purpose.


Author(s):  
Alfonso Sorrentino

This chapter discusses the notion of action-minimizing orbits. In particular, it defines the other two families of invariant sets, the so-called Aubry and Mañé sets. It explains their main dynamical and symplectic properties, comparing them with the results obtained in the preceding chapter for the Mather sets. The relation between these new invariant sets and the Mather sets is described. As a by-product, the chapter introduces the Mañé's potential, Peierls' barrier, and Mañé's critical value. It discusses their properties thoroughly. In particular, it highlights how this critical value is related to the minimal average action and describes these new concepts in the case of the simple pendulum.


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