The Theory Of Pseudo Rigid Bodies

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The Theory Of Pseudo Rigid Bodies

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Author : Harley Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07

The Theory Of Pseudo Rigid Bodies written by Harley Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.

This monograph concerns the development, analysis, and application of the theory of pseudo-rigid bodies. It collects together our work on that subject over the last five years. While some results have appeared else where, much of the work is new. Our objective in writing this mono graph has been to present a new theory of the deformation of bodies, one that has not only a firm theoretical basis, but also the simplicity to serve as an effective tool in practical problems. Consequently, the main body of the treatise is a multifaceted development of the theory, from foundations to explicit solutions to linearizations to methods of approximation. The fact that this variety of aspects, each examined in considerable detail, can be collected together in a single, unified treat ment gives this theory an elegance that we feel sets it apart from many others. While our goal has always been to give a complete treatment of the theory as it now stands, the work here is not meant to be definitive. Theories are not entities that appear suddenly one day and thereafter stand as given. Rather, they must mature and grow with time and experience. Our development is more correctly a beginning, tempting others to explore, appraise, and modify its features so as to produce something better.

The Stability Of Steady Motions Of Pseudo Rigid Bodies

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Author : Thomas Robert Nordenholz
language : en
Publisher:
Release Date : 1998

The Stability Of Steady Motions Of Pseudo Rigid Bodies written by Thomas Robert Nordenholz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Handbook Of Compliant Mechanisms

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Author : Larry L. Howell
language : en
Publisher: John Wiley & Sons
Release Date : 2013-04-01

Handbook Of Compliant Mechanisms written by Larry L. Howell and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-01 with Technology & Engineering categories.

A fully illustrated reference book giving an easy-to-understand introduction to compliant mechanisms A broad compilation of compliant mechanisms to give inspiration and guidance to those interested in using compliant mechanisms in their designs, the Handbook of Compliant Mechanisms includes graphics and descriptions of many compliant mechanisms. It comprises an extensive categorization of devices that can be used to help readers identify compliant mechanisms related to their application. It also provides chapters on the basic background in compliant mechanisms, the categories of compliant mechanisms, and an example of how the Compendium can be used to facilitate compliant mechanism design. Fully illustrated throughout to be easily understood and accessible at introductory levels Covers all aspects pertaining to classification, elements, mechanisms and applications of compliant mechanisms Summarizes a vast body of knowledge in easily understood diagrams and explanations Helps readers appreciate the advantages that compliant mechanisms have to offer Practical approach is ideal for potential practitioners who would like to realize designs with compliant mechanisms, members and elements Breadth of topics covered also makes the book a useful reference for more advanced readers Intended as an introduction to the area, the Handbook avoids technical jargon to assist non engineers involved in product design, inventors and engineers in finding clever solutions to problems of design and function.

Development Of A Design Framework For Compliant Mechanisms Using Pseudo Rigid Body Models

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Author : Venkatasubramanian Kalpathy Venkiteswaran
language : en
Publisher:
Release Date : 2017

Development Of A Design Framework For Compliant Mechanisms Using Pseudo Rigid Body Models written by Venkatasubramanian Kalpathy Venkiteswaran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

Compliant mechanisms achieve motion by utilizing deformation of elastic members. They offer many advantages over conventional rigid-body mechanisms such as elimination of friction or wear and tear. They also offer greater accuracy and can usually be fabricated as a single part, without the need for assembly. They are used in a wide variety of applications, particularly in the fields of robotics and precision engineering. However, the deformation of different parts of a compliant mechanism makes the analysis and design of such devices a challenge. This dissertation seeks to address the need for a design framework for compliant mechanisms. Many compliant mechanisms use beam-like structures, or flexures. These elements are usually analyzed using beam theory, in the form of differential equations. In this work, a beam theory approximation combining shear, elongation and Poisson's effects is developed to improve the accuracy of our predictions. The beams are replaced by pseudo-rigid-body (PRB) models, which serve as a convenient tool for the analysis of compliant mechanisms. They are rigid-body approximations of compliant elements that replace the differential equations of beam theory with algebraic equations. PRB models can be developed for various types of compliant elements, and two new models are shown here for soft compliant joints and circular beams. The use of these models in design and analysis problems is also illustrated. A general method of representation and derivation of PRB models is presented, along with a list of various PRB models, to be used as part of a design framework. The reasons for the errors that creep into these models are also studied and guidelines suggested to eliminate them. The initial design of a mechanism for a specific application can be an arduous task, and this is also addressed using a new topology optimization process using PRB models. The overarching goal of setting up this framework is to streamline the process of design of compliant mechanisms. Using PRB models speeds up the computation involved in design optimization, as opposed to solving differential equations from beam theory or high-fidelity Finite Element Analysis. Better knowledge of accuracy and complexity of the models can help the designer choose the optimal PRB model for a specific application. The parameter optimization framework and the list of PRB models will provide researchers with tools for deriving the values for a PRB model. The topology optimization technique is capable of deducing a feasible solution from a large pool of possible design solutions. This may be extended to shape optimization as well. There are many applications for such methods, some of which are shown here, including compliant robotic manipulators, micropsine grippers for space applications and micro-scale force sensors.

Axiomatic Foundations Of Rigid Body Mechanics

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Author : Ernest Wilcox Adams
language : en
Publisher:
Release Date : 1955

Axiomatic Foundations Of Rigid Body Mechanics written by Ernest Wilcox Adams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Dynamics of a particle categories.

Material Substructures In Complex Bodies

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Author : Gianfranco Capriz
language : en
Publisher: Elsevier
Release Date : 2007-05-24

Material Substructures In Complex Bodies written by Gianfranco Capriz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-24 with Technology & Engineering categories.

Stringent industrial requirements of sophisticated performances and of circumstantial control for micro-devices or nanotechnology manufactures, and other types of machinery at multiple scales, can be satisfied often only by resort to or allowance for complex materials. The adjective 'complex' beckons to the fact that the substructure influences gross mechanical behaviour in a prominent way and interactions due to substructural changes are represented directly. The description of the mechanical behaviour of complex bodies proposes a wide class of challenging problems from macroscopic-to-nano-world. The collection of chapters composing this book aims to explore some aspects of these problems, proposing also new matter of discussion together with specific solutions. Contributors are Carlo Cercignani, Gianfranco Capriz, Pierre Degond, Antonio Fasano, Harley T. Johnson, Sukky Jun, Krishna Kannan, Wing Kam Liu, Alberto Mancini, Paolo Maria Mariano, Ingo Müller, Kumbakonan R. Rajagopal, Jan Jerzy Slawianowski. The book can be a useful tool for Scholars and PhD students addressing their research activity toward basic mathematical and physical problems accruing from the mechanics of materials.

Nonlinear Stability Of Rotating Pseudo Rigid Bodies

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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1989

Nonlinear Stability Of Rotating Pseudo Rigid Bodies written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

The Finite Element Method For Solid And Structural Mechanics

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Author : Olek C Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-08-09

The Finite Element Method For Solid And Structural Mechanics written by Olek C Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-09 with Technology & Engineering categories.

This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Cosserat Theories Shells Rods And Points

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Author : M.B. Rubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Cosserat Theories Shells Rods And Points written by M.B. Rubin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.

This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. It allows readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories.

Intelligent Materials Second International Conference Proceedings

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Author : Craig A. Rogers
language : en
Publisher: CRC Press
Release Date : 1994-01-01

Intelligent Materials Second International Conference Proceedings written by Craig A. Rogers and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Technology & Engineering categories.

The key science and technology challenges which will facilitate the transition from a "make do and mend" philosophy inevitably restricting the degree of intelligence which can be engineered and the "designer materials systems" philosophy which is the ultimate goal are considered. The longer term vision will need to accord much more closely with nature's design paradigms, with control at the molecular, nano, micro and macro level of synthesis and assembly, of active self repair materials systems in function shapes.