Forced Oscillations of the Inverted Pendulum with a Heavy Ball in its Spherical Groove under the Action of Periodic Force

2003 ◽  
Vol 35 (1) ◽  
pp. 17-25
Author(s):  
Victor P. Legeza
Keyword(s):  
Inverted Pendulum ◽  
Forced Oscillations ◽  
Periodic Force

Directly forced oscillations of an inverted pendulum

1988 ◽  
Vol 133 (6) ◽  
pp. 295-297 ◽  
Author(s):  
John Miles
Keyword(s):  
Inverted Pendulum ◽  
Forced Oscillations

On the Existence of Forced Oscillations for the Spherical Pendulum Acted on by a Retarded Periodic Force

2011 ◽  
Vol 23 (3) ◽  
pp. 541-549 ◽  
Author(s):  
Pierluigi Benevieri ◽  
Alessandro Calamai ◽  
Massimo Furi ◽  
Maria Patrizia Pera
Keyword(s):  
Forced Oscillations ◽  
Spherical Pendulum ◽  
Periodic Force

scholarly journals Branches of Forced Oscillations Induced by a Delayed Periodic Force

2019 ◽  
Vol 19 (1) ◽  
pp. 149-163 ◽  
Author(s):  
Alessandro Calamai ◽  
Maria Patrizia Pera ◽  
Marco Spadini
Keyword(s):  
Vector Field ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Time Lag ◽  
Tangent Vector ◽  
Forced Oscillations ◽  
Tangent Vector Field ◽  
Periodic Force ◽  
Topological Approach ◽  
Delay Differential

Abstract We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion of degree of a tangent vector field.

Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force

2017 ◽  
Vol 151 ◽  
pp. 252-264 ◽  
Author(s):  
Alessandro Calamai ◽  
Maria Patrizia Pera ◽  
Marco Spadini
Keyword(s):  
Forced Oscillations ◽  
Spherical Pendulum ◽  
Periodic Force

Study of the dynamics of ТПА 350 automatic mill working stand elements

2020 ◽  
Vol 76 (8) ◽  
pp. 830-840
Author(s):  
S. R. Rakhmanov ◽  
V. V. Povorotnii
Keyword(s):  
Mechanical System ◽  
Dynamic Model ◽  
Maximum Amplitude ◽  
Calculation Scheme ◽  
Dynamic Loads ◽  
Forced Oscillations ◽  
Mass Model ◽  
Automatic Mill ◽  
Hollow Billet ◽  
Oscillation Movement

To form a necessary geometry of a hollow billet to be rolled at a pipe rolling line, stable dynamics of the base equipment of the automatic mill working stand has a practical meaning. Among the forces, acting on its parts and elements, significant by value short-time dynamic loads are the least studied phenomena. These dynamic loads arise during transient interaction of the hollow billet, rollers, mandrel and other mill parts at the forced grip of the hollow billet. Basing of the calculation scheme and dynamic model of the mechanical system of the ТПА 350 automatic mill working stand was accomplished. A mathematical model of dynamics of the system “hollow billet (pipe) – working stand” within accepted calculation scheme and dynamic model of the mechanical system elaborated. Influence of technological load of the rolled hollow billet variation in time was accounted, as well as variation of the mechanical system mass, and rigidity of the ТПА 350 automatic mill working stand. Differential equations of oscillation movement for four-mass model of forked sub-systems of the automatic mill working stand were made up, results of their digital calculation quoted. Dynamic displacement of the stand elements in the inter-roller gap obtained, which enabled to estimate the results of amplitude and frequency characteristics of the branches of the mill rollers setting. It was defined by calculation, that the maximum amplitude of the forced oscillations of elements of the ТПА 350 automatic mill working stand within the inter-roller gap does not exceed 2 mm. It is much higher than the accepted value of adjusting parameters of the deformation center of the ТПА 350 automatic mill. A scheme of comprehensive modernization of the rollers setting in the ТПА 350 automatic mill working stand was proposed. It was shown, that increase of rigidity of rollers setting in the ТПА 350 automatic mill working stand enables to stabilize the amplitude of forced oscillations of the working stand elements within the inter-rollers gap and considerably decrease the induced nonuniform hollow billet wall thickness and increase quality of the rolled pipes at ТПА 350.

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

Optimal PID Design Approaches for an Inverted Pendulum System

2016 ◽  
Vol 9 (3) ◽  
pp. 167 ◽  
Author(s):  
Muhammad Sani Gaya ◽  
Anas Abubakar Bisu ◽  
Syed Najib Syed Salim ◽  
I. S. Madugu ◽  
L. A. Yusuf ◽  
...  
Keyword(s):  
Inverted Pendulum ◽  
Pendulum System ◽  
Inverted Pendulum System
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