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Continuum of Motion Equations and Control Laws for Underactuated Mechanical Systems

2021
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Release : 2021
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Kind : eBook
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Book Synopsis Continuum of Motion Equations and Control Laws for Underactuated Mechanical Systems by : Constance Ann Lare

Download or read book Continuum of Motion Equations and Control Laws for Underactuated Mechanical Systems written by Constance Ann Lare. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: As sizes, lengths, or shapes of a system grow large or shrink to zero, a system will approach limiting forms. As the parameter is allowed to grow or shrink, the system could resemble a simpler system. The sufficient conditions for when the equations of motion will morph from the original system to a target system will be presented. The ball and arc equations of motion morph to those of the ball and beam as the arc's radius is allowed to grow. The equations of motion for the rotary pendulum, pendubot, and two-link robot manipulator will morph to the equations of motion of the inverted pendulum cart. The effect of a parameter growing large or shrinking to zero has on the controller for the original system will not be fully investigate in this work. A case for when controller morphing might be possible will be examined. A controller for the rotary pendulum will morph to a controller that stabilizes the inverted pendulum cart. Next, a controller for the pendubot will be morphed that does not stabilize the dimensionless inverted pendulum cart. Lastly, a controller for a fully actuated two-link robot manipulator will be morphed to a stabilizing controller for a fully actuated inverted pendulum cart.

Continuum Mechanics Via Problems and Exercises: Theory and problems

1996 Continuum mechanics
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Release : 1996
Genre : Continuum mechanics
Kind : eBook
Book Rating : 627/5 ( reviews)

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Book Synopsis Continuum Mechanics Via Problems and Exercises: Theory and problems by : Margarita E. Eglit

Download or read book Continuum Mechanics Via Problems and Exercises: Theory and problems written by Margarita E. Eglit. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Continuum Mechanics Via Problems and Exercises

1996-10-28 Science
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Release : 1996-10-28
Genre : Science
Kind : eBook
Book Rating : 961/5 ( reviews)

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Book Synopsis Continuum Mechanics Via Problems and Exercises by : Margarita E Eglit

Download or read book Continuum Mechanics Via Problems and Exercises written by Margarita E Eglit. This book was released on 1996-10-28. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended to help graduate-level students of Continuum Mechanics become more proficient in its applications through the solution of analytical problems. Published as two separate books — Part I on Theory and Problems with Part II providing Solutions to the problems — professors may also find it quite useful in preparing their lectures and examinations. Part I includes a brief theoretical treatment for each of the major areas of Continuum Mechanics (fluid mechanics, thermodynamics, elastic and inelastic solids, electricity, dimensional analysis, and so on), as well as the references for further reading. The bulk of Part II consists of about 1000 solved problems. The book includes bibliographical references and index.

Dynamics of Mechanical Systems with Coulomb Friction

2003-04-23 Computers
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Release : 2003-04-23
Genre : Computers
Kind : eBook
Book Rating : 541/5 ( reviews)

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Book Synopsis Dynamics of Mechanical Systems with Coulomb Friction by : Le Xuan Anh

Download or read book Dynamics of Mechanical Systems with Coulomb Friction written by Le Xuan Anh. This book was released on 2003-04-23. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: i) derivation of the equations of motion, ii) Painleve's paradoxes, iii) tangential impact and dynamic seizure, and iiii) frictional self-excited oscillations. In addition to theoretical results, the book contains a detailed description of experiments that have been performed. These show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.

Introduction to Continuum Mechanics

1996 Science
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Release : 1996
Genre : Science
Kind : eBook
Book Rating : 945/5 ( reviews)

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Book Synopsis Introduction to Continuum Mechanics by : W. Michael Lai

Download or read book Introduction to Continuum Mechanics written by W. Michael Lai. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: Continuum mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation, and the interrelation of direct notation, indicial notation, and matrix operations is also presented. A wide range of idealized materials are considered through simple static and dynamic problems.

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