scholarly journals Influence of the Excitation Amplitude on the Dynamic behaviour of an Inverted Pendulum Driven by Fibres

2012 ◽  
Vol 48 ◽  
pp. 568-577 ◽  
Author(s):  
Pavel Polach ◽  
Michal Hajžman
Keyword(s):  
Inverted Pendulum ◽  
Dynamic Behaviour ◽  
Excitation Amplitude

scholarly journals Bifurcation Analysis and Dynamic Behaviour of an Inverted Pendulum with Bounded Control

2016 ◽  
Vol 46 (1) ◽  
pp. 17-32 ◽  
Author(s):  
Svetoslav Nikolov ◽  
Valentin Nedev
Keyword(s):  
Dynamic System ◽  
Bifurcation Analysis ◽  
Inverted Pendulum ◽  
Dynamic Behaviour ◽  
Nonlinear Differential Equations ◽  
Analytical Formula ◽  
Bounded Control ◽  
Pivot Point ◽  
Bifurcation Behaviour ◽  
Boundary Of Stability

Abstract This paper presents an investigation on the behaviour of con- ventional inverted pendulum with an inertia disk in its free extreme. The system is actuated by means of torques applied to the disk by a DC mo- tor, mounted on the pendulum’s arm. Thus, the system is underactuated since the pendulum can rotate freely around its pivot point. The dynam- ical model is given with three ordinary nonlinear differential equations. Using Poincare-Andronov-Hopf’s theory, we find a new analytical formula for the first Lyapunov’s value at the boundary of stability. It enables one to study in detail the bifurcation behaviour of the above dynamic system. We check the validity of our analytical results on the first Lyapunov’s value by numerical simulations. Hence, we find some new results.

Investigation of the Dynamic Behaviour of Fibres Using Simple Mechanical Systems

2015 ◽  
Vol 732 ◽  
pp. 267-274
Author(s):  
Pavel Polach ◽  
Jaroslav Václavík
Keyword(s):  
Computer Simulations ◽  
Phenomenological Model ◽  
Computational Models ◽  
Inverted Pendulum ◽  
Dynamic Behaviour ◽  
Mechanical Systems ◽  
Experimental Measurements ◽  
Computational Investigation ◽  
Inclined Plane

Fibres, cables and wires can play an important role in design of many machines. One of the most interesting applications is replacement of chosen rigid elements of a manipulator or a mechanism by fibres. Dynamic behaviour of fibres in simplified mechanical systems was investigated. In the first step the computational investigation of a fibre dynamic behaviour in the system of an inverted pendulum attached to two fibres and driven by them was performed. Then experiments and computer simulations with two simple laboratory mechanical systems followed. The first system consisted of a weight moving on an inclined plane and of one fibre, the second one contained a drive and a pulley in addition to it. The results of experimental measurements serve for tuning the computational models. The simulation aim is to create a phenomenological model of a fibre.

Investigation of fused silica dynamic behaviour

2006 ◽  
Vol 134 ◽  
pp. 929-934 ◽  
Author(s):  
F. Malaise ◽  
J.-M. Chevalier ◽  
I. Bertron ◽  
F. Malka
Keyword(s):  
Dynamic Behaviour ◽  
Fused Silica

A MODEL FOR THE FATIGUE SATURATION RANGE OF ALUMINIUM FROM DYNAMIC BEHAVIOUR AND INTERACTIONS OF DISLOCATIONS

1987 ◽  
Vol 48 (C8) ◽  
pp. C8-155-C8-160
Author(s):  
R. FOUGERES ◽  
J. CHICOIS ◽  
A. HAMEL ◽  
A. VINCENT
Keyword(s):  
Dynamic Behaviour

Analysis of the Multi-Channel Epileptiform EEG Using the Markov Chains Formalism

1989 ◽  
Vol 28 (03) ◽  
pp. 160-167 ◽  
Author(s):  
P. Penczek ◽  
W. Grochulski
Keyword(s):  
Dynamic Behaviour ◽  
Joint Probability ◽  
Drug Effects ◽  
Anticonvulsant Drug ◽  
Channel System ◽  
Markov Network ◽  
Eeg Data ◽  
Multi Level ◽  
Joint Probability Functions ◽  
Dependent State

Abstract:A multi-level scheme of syntactic reduction of the epileptiform EEG data is briefly discussed and the possibilities it opens up in describing the dynamic behaviour of a multi-channel system are indicated. A new algorithm for the inference of a Markov network from finite sets of sample symbol strings is introduced. Formulae for the time-dependent state occupation probabilities, as well as joint probability functions for pairs of channels, are given. An exemplary case of analysis in these terms, taken from an investigation of anticonvulsant drug effects on EEG seizure patterns, is presented.

Representation of bolted joints in a structure using finite element modelling and model updating

2020 ◽  
Vol 14 (3) ◽  
pp. 7141-7151 ◽  
Author(s):  
R. Omar ◽  
M. N. Abdul Rani ◽  
M. A. Yunus
Keyword(s):  
Finite Element ◽  
Dynamic Behaviour ◽  
Model Updating ◽  
Complex Structure ◽  
Bolted Joints ◽  
Model Parameters ◽  
Fe Model ◽  
Bolted Joint ◽  
Fe Modelling ◽  
Joint Structure

Efficient and accurate finite element (FE) modelling of bolted joints is essential for increasing confidence in the investigation of structural vibrations. However, modelling of bolted joints for the investigation is often found to be very challenging. This paper proposes an appropriate FE representation of bolted joints for the prediction of the dynamic behaviour of a bolted joint structure. Two different FE models of the bolted joint structure with two different FE element connectors, which are CBEAM and CBUSH, representing the bolted joints are developed. Modal updating is used to correlate the two FE models with the experimental model. The dynamic behaviour of the two FE models is compared with experimental modal analysis to evaluate and determine the most appropriate FE model of the bolted joint structure. The comparison reveals that the CBUSH element connectors based FE model has a greater capability in representing the bolted joints with 86 percent accuracy and greater efficiency in updating the model parameters. The proposed modelling technique will be useful in the modelling of a complex structure with a large number of bolted joints.

Rough Control of Underactuated Serial-type Double Inverted Pendulum Using State-action Pair Prediction

2017 ◽  
Vol 137 (12) ◽  
pp. 1617-1624
Author(s):  
Masashi Sugimoto ◽  
Naoya Iwamoto ◽  
Robert W. Johnston ◽  
Keizo Kanazawa ◽  
Yukinori Misaki ◽  
...  
Keyword(s):  
Inverted Pendulum ◽  
State Action

Predictor-network-based MRACS for inverted pendulum system.

1991 ◽  
Vol 111 (3) ◽  
pp. 221-229 ◽  
Author(s):  
Motomiki Uchida ◽  
Yukihiro Toyoda ◽  
Yoshikuni Akiyama ◽  
Kazushi Nakano ◽  
Hideo Nakamura
Keyword(s):  
Inverted Pendulum ◽  
Pendulum System ◽  
Inverted Pendulum System
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