A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells

A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells

Author: Hui-Shen Shen

Publisher: John Wiley & Sons

Published: 2013-07-03

Total Pages: 368

ISBN-13: 1118649915

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The capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis. In fact, many structures are subjected to high load levels that may result in nonlinear load-deflection relationships due to large deformations. One of the important problems deserving special attention is the study of their nonlinear response to large deflection, postbuckling and nonlinear vibration. A two-step perturbation method is firstly proposed by Shen and Zhang (1988) for postbuckling analysis of isotropic plates. This approach gives parametrical analytical expressions of the variables in the postbuckling range and has been generalized to other plate postbuckling situations. This approach is then successfully used in solving many nonlinear bending, postbuckling, and nonlinear vibration problems of composite laminated plates and shells, in particular for some difficult tasks, for example, shear deformable plates with four free edges resting on elastic foundations, contact postbuckling of laminated plates and shells, nonlinear vibration of anisotropic cylindrical shells. This approach may be found its more extensive applications in nonlinear analysis of nano-scale structures. Concentrates on three types of nonlinear analyses: vibration, bending and postbuckling Presents not only the theoretical aspect of the techniques, but also engineering applications of the method A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells is an original and unique technique devoted entirely to solve geometrically nonlinear problems of beams, plates and shells. It is ideal for academics, researchers and postgraduates in mechanical engineering, civil engineering and aeronautical engineering.


Book Synopsis A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells by : Hui-Shen Shen

Download or read book A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells written by Hui-Shen Shen and published by John Wiley & Sons. This book was released on 2013-07-03 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis. In fact, many structures are subjected to high load levels that may result in nonlinear load-deflection relationships due to large deformations. One of the important problems deserving special attention is the study of their nonlinear response to large deflection, postbuckling and nonlinear vibration. A two-step perturbation method is firstly proposed by Shen and Zhang (1988) for postbuckling analysis of isotropic plates. This approach gives parametrical analytical expressions of the variables in the postbuckling range and has been generalized to other plate postbuckling situations. This approach is then successfully used in solving many nonlinear bending, postbuckling, and nonlinear vibration problems of composite laminated plates and shells, in particular for some difficult tasks, for example, shear deformable plates with four free edges resting on elastic foundations, contact postbuckling of laminated plates and shells, nonlinear vibration of anisotropic cylindrical shells. This approach may be found its more extensive applications in nonlinear analysis of nano-scale structures. Concentrates on three types of nonlinear analyses: vibration, bending and postbuckling Presents not only the theoretical aspect of the techniques, but also engineering applications of the method A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells is an original and unique technique devoted entirely to solve geometrically nonlinear problems of beams, plates and shells. It is ideal for academics, researchers and postgraduates in mechanical engineering, civil engineering and aeronautical engineering.


Buckling and Postbuckling of Beams, Plates, and Shells

Buckling and Postbuckling of Beams, Plates, and Shells

Author: M. Reza Eslami

Publisher: Springer

Published: 2017-11-03

Total Pages: 588

ISBN-13: 3319623680

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This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.


Book Synopsis Buckling and Postbuckling of Beams, Plates, and Shells by : M. Reza Eslami

Download or read book Buckling and Postbuckling of Beams, Plates, and Shells written by M. Reza Eslami and published by Springer. This book was released on 2017-11-03 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.


Postbuckling Behavior Of Plates And Shells

Postbuckling Behavior Of Plates And Shells

Author: Shen Hui-shen

Publisher: World Scientific

Published: 2017-01-13

Total Pages: 696

ISBN-13: 9813147016

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As an expert in structure and stress analysis, the author has written extensively on functionally graded materials (FGMs), nonlinear vibration and dynamic response of functionally graded material plates in thermal environments, buckling and postbuckling analysis of single-walled carbon nanotubes in thermal environments. This book provides a comprehensive overview of the author's works which include significant contributions to the postbuckling behavior of plates and shells under different loading and environmental conditions. This book comprises eight chapters. Each chapter contains adequate introductory material so that an engineering graduate who is familiar with basic understanding of plates and shells will be able to follow it. Chapter 1 introduces higher order shear deformation plate theory and the derivation of the nonlinear equations of shear deformable plates in the von Kármán sense.Chapter 2, covers the postbuckling behavior of thin plates due to in-plane compressive loads or temperature variation.Chapter 3 presents analytical solutions of moderately thick isotropic plates without or resting on elastic foundations.Chapter 4 furnishes a detailed treatment of the postbuckling problems of shear deformable laminated plates subjected to thermal, electrical, and mechanical loads.Chapter 5 put forward a concepts of boundary layer theory for shell buckling and isotropic cylindrical shells.Chapter 6 extends this novel theory to the cases of anisotropic laminated cylindrical thin shells.Chapter 7 presents postbuckling analysis of shear deformable laminated cylindrical shells under the framework of boundary layer theory.Chapter 8 deals with postbuckling behavior of laminated cylindrical panels under various loading conditions.


Book Synopsis Postbuckling Behavior Of Plates And Shells by : Shen Hui-shen

Download or read book Postbuckling Behavior Of Plates And Shells written by Shen Hui-shen and published by World Scientific. This book was released on 2017-01-13 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an expert in structure and stress analysis, the author has written extensively on functionally graded materials (FGMs), nonlinear vibration and dynamic response of functionally graded material plates in thermal environments, buckling and postbuckling analysis of single-walled carbon nanotubes in thermal environments. This book provides a comprehensive overview of the author's works which include significant contributions to the postbuckling behavior of plates and shells under different loading and environmental conditions. This book comprises eight chapters. Each chapter contains adequate introductory material so that an engineering graduate who is familiar with basic understanding of plates and shells will be able to follow it. Chapter 1 introduces higher order shear deformation plate theory and the derivation of the nonlinear equations of shear deformable plates in the von Kármán sense.Chapter 2, covers the postbuckling behavior of thin plates due to in-plane compressive loads or temperature variation.Chapter 3 presents analytical solutions of moderately thick isotropic plates without or resting on elastic foundations.Chapter 4 furnishes a detailed treatment of the postbuckling problems of shear deformable laminated plates subjected to thermal, electrical, and mechanical loads.Chapter 5 put forward a concepts of boundary layer theory for shell buckling and isotropic cylindrical shells.Chapter 6 extends this novel theory to the cases of anisotropic laminated cylindrical thin shells.Chapter 7 presents postbuckling analysis of shear deformable laminated cylindrical shells under the framework of boundary layer theory.Chapter 8 deals with postbuckling behavior of laminated cylindrical panels under various loading conditions.


Analysis and Design of Plated Structures

Analysis and Design of Plated Structures

Author: N.E. Shanmugam

Publisher: Woodhead Publishing

Published: 2021-09-29

Total Pages: 742

ISBN-13: 0128235713

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Analysis and Design of Plated Structures: Stability, Second Edition covers the latest developments in new plate solutions and structural models for plate analysis. Completely revised and updated by its distinguished editors and international team of contributors, this edition also contains new chapters on GBT-based stability analysis and the finite strip and direct strength method (DSM). Other sections comprehensively cover bracing systems, storage tanks under wind loading, the analysis and design of light gauge steel members, applications of high strength steel members, cold-formed steel pallet racks, and the design of curved steel bridges. This is a comprehensive reference for graduate students, researchers and practicing engineers in the fields of civil, structural, aerospace, mechanical, automotive and marine engineering. Features new chapters on the stability behavior of composite plates such as laminated composite, functionally graded, and steel concrete composite plate structures Includes newly developed numerical simulation methods and new plate models Provides generalized beam theory for analyzing thin-walled structures


Book Synopsis Analysis and Design of Plated Structures by : N.E. Shanmugam

Download or read book Analysis and Design of Plated Structures written by N.E. Shanmugam and published by Woodhead Publishing. This book was released on 2021-09-29 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Design of Plated Structures: Stability, Second Edition covers the latest developments in new plate solutions and structural models for plate analysis. Completely revised and updated by its distinguished editors and international team of contributors, this edition also contains new chapters on GBT-based stability analysis and the finite strip and direct strength method (DSM). Other sections comprehensively cover bracing systems, storage tanks under wind loading, the analysis and design of light gauge steel members, applications of high strength steel members, cold-formed steel pallet racks, and the design of curved steel bridges. This is a comprehensive reference for graduate students, researchers and practicing engineers in the fields of civil, structural, aerospace, mechanical, automotive and marine engineering. Features new chapters on the stability behavior of composite plates such as laminated composite, functionally graded, and steel concrete composite plate structures Includes newly developed numerical simulation methods and new plate models Provides generalized beam theory for analyzing thin-walled structures


Applied Mechanics Reviews

Applied Mechanics Reviews

Author:

Publisher:

Published: 1975

Total Pages: 952

ISBN-13:

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1975 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Refined Dynamical Theories of Beams, Plates and Shells and Their Applications

Refined Dynamical Theories of Beams, Plates and Shells and Their Applications

Author: Isaac Elishakoff

Publisher: Springer Science & Business Media

Published: 2013-03-12

Total Pages: 439

ISBN-13: 3642830404

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As is known, classical theories of vibration of the most fre quently encountered structural elements (e. g. , beams, plates and shells) disregard the effects of the shear deformation and rotary inertia. Refined theories, with these effects taken into account, have been pioneered by Bresse, Lord Rayleigh, Timoshenko, Eric Reissner, Mindlin and others. These refined theories have been fruitfully applied in recent decades in both theoretical and prac tical solid mechanics problems. The European Mechanics Committee approved holding EURO~illCH Colloquium 219 on "Refined Dynamical Theories of Beams, Plates and Shells and Their Applications" for reviewing the recent devel opments, providing guidelines for future investigations and presenting a forum for current work of younger researchers. The Colloquium was held during September 23 - 26, 1986, at the Uni versitat-Gesamthochschule Kassel, in the city of Kassel, Federal Republic of Germany. 45 Representatives of academia and industry, from nine European countries, as well as from Israel, USA and India participated in this Colloquium. IV 36 lectures were presented during the five sessions: Session A: Theory of Vibrations of Plates and Shells Session B: Various Approaches for Dynamical Problems of Beams Session C: Random Vibrations and Dynamic Stability Session D: Vibrations of Composite Structures Session E: Special Dynamical Problems of Beams, Plates and Shells The papers in this volums were divided into two parts: papers of invited keynote lectures and those of the invited contributed lectures.


Book Synopsis Refined Dynamical Theories of Beams, Plates and Shells and Their Applications by : Isaac Elishakoff

Download or read book Refined Dynamical Theories of Beams, Plates and Shells and Their Applications written by Isaac Elishakoff and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is known, classical theories of vibration of the most fre quently encountered structural elements (e. g. , beams, plates and shells) disregard the effects of the shear deformation and rotary inertia. Refined theories, with these effects taken into account, have been pioneered by Bresse, Lord Rayleigh, Timoshenko, Eric Reissner, Mindlin and others. These refined theories have been fruitfully applied in recent decades in both theoretical and prac tical solid mechanics problems. The European Mechanics Committee approved holding EURO~illCH Colloquium 219 on "Refined Dynamical Theories of Beams, Plates and Shells and Their Applications" for reviewing the recent devel opments, providing guidelines for future investigations and presenting a forum for current work of younger researchers. The Colloquium was held during September 23 - 26, 1986, at the Uni versitat-Gesamthochschule Kassel, in the city of Kassel, Federal Republic of Germany. 45 Representatives of academia and industry, from nine European countries, as well as from Israel, USA and India participated in this Colloquium. IV 36 lectures were presented during the five sessions: Session A: Theory of Vibrations of Plates and Shells Session B: Various Approaches for Dynamical Problems of Beams Session C: Random Vibrations and Dynamic Stability Session D: Vibrations of Composite Structures Session E: Special Dynamical Problems of Beams, Plates and Shells The papers in this volums were divided into two parts: papers of invited keynote lectures and those of the invited contributed lectures.


Geodex Structural Information Service

Geodex Structural Information Service

Author: Geodex International

Publisher:

Published: 1967

Total Pages: 52

ISBN-13:

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Book Synopsis Geodex Structural Information Service by : Geodex International

Download or read book Geodex Structural Information Service written by Geodex International and published by . This book was released on 1967 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Analysis of Shells, Plates, and Beams

Analysis of Shells, Plates, and Beams

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2020-06-03

Total Pages: 470

ISBN-13: 3030474917

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This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.


Book Synopsis Analysis of Shells, Plates, and Beams by : Holm Altenbach

Download or read book Analysis of Shells, Plates, and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.


Nonlinear Analysis of Shell Structures

Nonlinear Analysis of Shell Structures

Author: Anthony N. Palazotto

Publisher: AIAA

Published: 1992

Total Pages: 278

ISBN-13: 9781600860911

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Book Synopsis Nonlinear Analysis of Shell Structures by : Anthony N. Palazotto

Download or read book Nonlinear Analysis of Shell Structures written by Anthony N. Palazotto and published by AIAA. This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Mechanics of Nanocomposites

Mechanics of Nanocomposites

Author: Farzad Ebrahimi

Publisher: CRC Press

Published: 2020-05-21

Total Pages: 252

ISBN-13: 1000049884

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Emphasizing the static and dynamic behaviors of nanocomposite single- or multilayered structures in the framework of continuum mechanics-based approaches, Mechanics of Nanocomposites: Homogenization and Analysis investigates mechanical behaviors of polymeric matrices strengthened via various nanofillers and nanoparticles such as carbon nanotubes (CNTs), graphene platelets (GPLs), and graphene oxides (GOs). It covers equivalent properties of nanocomposites that are obtained via homogenization techniques based on micromechanics approaches. In addition, this comprehensive book: Discusses the effects of various nanofillers and identifies the amount of the improvement that can be induced in the stiffness of the polymeric nanocomposites by adding a finite content of the aforementioned nanosize reinforcements Magnifies the effect of the number of the stacking plies of the multi-layered nanocomposite structures on both static and dynamic responses of the continuous systems manufactured from such sandwich structures Presents a wide range of analytical and numerical solution procedures Investigates the effects of porosity along with mechanical characteristics of nanocomposites Considers the time-dependency of the material properties of the viscoelastic polymeric nanocomposite structures Performs analyses using an energy-based approach incorporated with the strain-displacement relations of both classical and higher-order shear deformable beam, plate, or shell theorems Aimed at researchers, academics, and professionals working across mechanical, materials, and other areas of engineering, this work ensures that readers are equipped to fully understand the mechanical characteristics of nanocomposite structures so that they can design, develop, and apply these materials effectively.


Book Synopsis Mechanics of Nanocomposites by : Farzad Ebrahimi

Download or read book Mechanics of Nanocomposites written by Farzad Ebrahimi and published by CRC Press. This book was released on 2020-05-21 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing the static and dynamic behaviors of nanocomposite single- or multilayered structures in the framework of continuum mechanics-based approaches, Mechanics of Nanocomposites: Homogenization and Analysis investigates mechanical behaviors of polymeric matrices strengthened via various nanofillers and nanoparticles such as carbon nanotubes (CNTs), graphene platelets (GPLs), and graphene oxides (GOs). It covers equivalent properties of nanocomposites that are obtained via homogenization techniques based on micromechanics approaches. In addition, this comprehensive book: Discusses the effects of various nanofillers and identifies the amount of the improvement that can be induced in the stiffness of the polymeric nanocomposites by adding a finite content of the aforementioned nanosize reinforcements Magnifies the effect of the number of the stacking plies of the multi-layered nanocomposite structures on both static and dynamic responses of the continuous systems manufactured from such sandwich structures Presents a wide range of analytical and numerical solution procedures Investigates the effects of porosity along with mechanical characteristics of nanocomposites Considers the time-dependency of the material properties of the viscoelastic polymeric nanocomposite structures Performs analyses using an energy-based approach incorporated with the strain-displacement relations of both classical and higher-order shear deformable beam, plate, or shell theorems Aimed at researchers, academics, and professionals working across mechanical, materials, and other areas of engineering, this work ensures that readers are equipped to fully understand the mechanical characteristics of nanocomposite structures so that they can design, develop, and apply these materials effectively.