A Two Step Perturbation Method In Nonlinear Analysis Of Beams Plates And Shells

Author : Hui-Shen Shen
Publisher : John Wiley & Sons
ISBN 13 : 1118649915
Total Pages : 368 pages
Book Rating : 4.16/5 ( download)

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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.

Author : M. Reza Eslami
Publisher : Springer
ISBN 13 : 3319623680
Total Pages : 603 pages
Book Rating : 4.89/5 ( download)

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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 603 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.

Author : Hui-shen Shen
Publisher : World Scientific
ISBN 13 : 9813147016
Total Pages : 697 pages
Book Rating : 4.10/5 ( download)

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Download or read book Postbuckling Behavior Of Plates And Shells written by Hui-shen Shen and published by World Scientific. This book was released on 2017-01-13 with total page 697 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.

Author : N.E. Shanmugam
Publisher : Woodhead Publishing
ISBN 13 : 0128235713
Total Pages : 742 pages
Book Rating : 4.13/5 ( download)

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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

Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.55/5 ( download)

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Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Maurizio Garrione
Publisher : Springer Nature
ISBN 13 : 3030302180
Total Pages : 115 pages
Book Rating : 4.84/5 ( download)

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Download or read book Nonlinear Equations for Beams and Degenerate Plates with Piers written by Maurizio Garrione and published by Springer Nature. This book was released on 2019-10-31 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges. New models are proposed and new tools are provided for the stability analysis. The book opens by deriving the PDE’s based on the physical models and by introducing the basic framework for the linear stationary problem. The linear analysis, in particular the behavior of the eigenvalues as the position of the piers varies, enables the authors to tackle the stability issue for some nonlinear evolution beam equations, with the aim of determining the “best position” of the piers within the beam in order to maximize its stability. The study continues with the analysis of a class of degenerate plate models. The torsional instability of the structure is investigated, and again, the optimal position of the piers in terms of stability is discussed. The stability analysis is carried out by means of both analytical tools and numerical experiments. Several open problems and possible future developments are presented. The qualitative analysis provided in the book should be seen as the starting point for a precise quantitative study of more complete models, taking into account the action of aerodynamic forces. This book is intended for a two-fold audience. It is addressed both to mathematicians working in the field of Differential Equations, Nonlinear Analysis and Mathematical Physics, due to the rich number of challenging mathematical questions which are discussed and left as open problems, and to Engineers interested in mechanical structures, since it provides the theoretical basis to deal with models for the dynamics of suspension bridges with intermediate piers. More generally, it may be enjoyable for readers who are interested in the application of Mathematics to real life problems.

Author : R. B. Matthiesen
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.59/5 ( download)

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Download or read book On the Analysis of Plates and Shells by the Perturbation Technique written by R. B. Matthiesen and published by . This book was released on 1963 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Geodex International
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.77/5 ( download)

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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:

Author : Susan L. McCleary
Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.93/5 ( download)

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Download or read book An Adaptive Nonlinear Analysis Procedure for Plates and Shells written by Susan L. McCleary and published by . This book was released on 1990 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Farzad Ebrahimi
Publisher : CRC Press
ISBN 13 : 1000049884
Total Pages : 252 pages
Book Rating : 4.86/5 ( download)

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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.