Symmetry in Structural Mechanics

Symmetry in Structural Mechanics PDF Author: Peter G. Glockner
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

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Book Description

Symmetry in Structural Mechanics

Symmetry in Structural Mechanics PDF Author: Peter G. Glockner
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

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Book Description


Optimal Analysis of Structures by Concepts of Symmetry and Regularity

Optimal Analysis of Structures by Concepts of Symmetry and Regularity PDF Author: Ali Kaveh
Publisher: Springer Science & Business Media
ISBN: 3709115655
Category : Science
Languages : en
Pages : 473

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Book Description
Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.

The Use of Symmetry and Group Theory in Structural Mechanics

The Use of Symmetry and Group Theory in Structural Mechanics PDF Author: P. G. Glockner
Publisher:
ISBN:
Category : Symmetry
Languages : en
Pages : 74

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Book Description


Symmetry and Superposition in Structural Mechanics, by P. G. Glockner

Symmetry and Superposition in Structural Mechanics, by P. G. Glockner PDF Author: P G. Glockner
Publisher:
ISBN:
Category : Mechanical engineering
Languages : en
Pages : 57

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Book Description


Symmetry, Bifurcation, and Computational Methods in Nonlinear Structural Mechanics

Symmetry, Bifurcation, and Computational Methods in Nonlinear Structural Mechanics PDF Author: Timothy James Healey
Publisher:
ISBN:
Category :
Languages : en
Pages : 614

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Book Description


Geometric Mechanics and Symmetry

Geometric Mechanics and Symmetry PDF Author: Darryl D. Holm
Publisher: Oxford University Press
ISBN: 0199212902
Category : Mathematics
Languages : en
Pages : 537

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Book Description
A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.

Advanced Structural Mechanics

Advanced Structural Mechanics PDF Author: David Johnson
Publisher: Thomas Telford
ISBN: 9780727728609
Category : Technology & Engineering
Languages : en
Pages : 322

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Book Description
This text is adressed to professional engineers, offering a broad introduction to the principal themes of continuum mechanics and structural dynamics. This edition includes a greater focus on worked examples, problems and solutions to engage the reader.

Structural Mechanics: Modelling and Analysis of Frames and Trusses

Structural Mechanics: Modelling and Analysis of Frames and Trusses PDF Author: Karl-Gunnar Olsson
Publisher: John Wiley & Sons
ISBN: 1119159334
Category : Technology & Engineering
Languages : en
Pages : 358

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Book Description
Textbook covers the fundamental theory of structural mechanics and the modelling and analysis of frame and truss structures Deals with modelling and analysis of trusses and frames using a systematic matrix formulated displacement method with the language and flexibility of the finite element method Element matrices are established from analytical solutions to the differential equations Provides a strong toolbox with elements and algorithms for computational modelling and numerical exploration of truss and frame structures Discusses the concept of stiffness as a qualitative tool to explain structural behaviour Includes numerous exercises, for some of which the computer software CALFEM is used. In order to support the learning process CALFEM gives the user full overview of the matrices and algorithms used in a finite element analysis

Symmetry, Structure, and Spacetime

Symmetry, Structure, and Spacetime PDF Author: Dean Rickles
Publisher: Elsevier
ISBN: 0444531165
Category : Science
Languages : en
Pages : 243

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Book Description
In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about. · Unified treatment of gauge symmetries and their relationship to ontology in physics · Brings philosophy of space and time into step with developments in modern physics · Argues against the received view on the implications of symmetries in physics · Provides elementary treatments of technical issues · Illustrates a novel defense of structuralism

Structural Mechanics

Structural Mechanics PDF Author: Alberto Carpinteri
Publisher: CRC Press
ISBN: 1351990896
Category : Technology & Engineering
Languages : en
Pages : 782

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Book Description
This book presents a complete and unified treatment of the fundamental themes of structural mechanics, ranging from the traditional to the most advanced topics, covering mechanics of linear elastic solids, theory of beam systems, and phenomena of structural failure. The book considers explicitly all the static and kenetic operators of structural mechanics with their dual character. Topics relating to structural symmetry are covered in a single chapter while dynamics is dealt with at various points. The logical presentation allows the clear introduction of topics such as finite element methods, automatic calculation of framed beam systems, plate and shell theory, theory of plasticity, and fracture mechanics. Numerous worked examples, exercises with complete solutions and illustrations make it accessible both as a text for students and as a reference for research workers and practicing engineers.