Linear and Non-linear Free Vibration Analysis of Axisymmetric Solids and Structures [microform] PDF Download
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Author: Laxman Subramaniam
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612307438
Category : Finite element method
Languages : en
Pages : 228
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Book Description
This thesis is concerned with the linear and nonlinear dynamic analysis of axisymmetric solids using the Ritz method and the finite element method. The solids are geometrically nonlinear. The geometry of the solid is described by the cylindrical coordinate system. The strain displacement relationships are derived using three dimensional elasticity equations. The strain energy and kinetic energy expressions are given and the stiffness and the mass matrices are derived from the strain and the kinetic energy expressions respectively. The Ritz method is developed for nonlinear free vibration analysis of axisymmetric solids like circular disks, conical shells, cylindrical shells etc, in which the displacement components are expressed as simple algebraic polynomials. Eight node quadrilateral isoparameteric element is used in Finite Element method for the eigen value solution.
![Linear and Non-linear Free Vibration Analysis of Axisymmetric Solids and Structures [microform] PDF](https://books.google.com/books/content/images/frontcover/QOr4vgEACAAJ?fife=w80-h100)
Author: Laxman Subramaniam
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612307438
Category : Finite element method
Languages : en
Pages : 228
Get Book Here
Book Description
This thesis is concerned with the linear and nonlinear dynamic analysis of axisymmetric solids using the Ritz method and the finite element method. The solids are geometrically nonlinear. The geometry of the solid is described by the cylindrical coordinate system. The strain displacement relationships are derived using three dimensional elasticity equations. The strain energy and kinetic energy expressions are given and the stiffness and the mass matrices are derived from the strain and the kinetic energy expressions respectively. The Ritz method is developed for nonlinear free vibration analysis of axisymmetric solids like circular disks, conical shells, cylindrical shells etc, in which the displacement components are expressed as simple algebraic polynomials. Eight node quadrilateral isoparameteric element is used in Finite Element method for the eigen value solution.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Jon Juel Thomsen
Publisher: Springer Nature
ISBN: 3030680452
Category : Technology & Engineering
Languages : en
Pages : 539
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Book Description
An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.
Author: Mansour Sedaghat
Publisher:
ISBN:
Category :
Languages : en
Pages : 336
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Book Description
Author: P. Srinivasan
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 308
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Book Description
Study And Analysis Of Vibrations Have Found Lot Of Importance In Recent Years In Both Academic And Industrial Fields. Nonlinear Vibration In Particular, Has Developed Into A Discipline. The Approach In This Book Is To Highlight And Treat The Essential Aspects Of Nonlinear Vibrations At A Level Useful To Both Students And Practicing Engineers.Design, Development And Utilisation Of Most Active Systems/Equipments (I.E., Those With Movable Parts) Must Address Vibration Impact On Their Performance. Understanding Of Vibration Will Help Minimise The Impact Of Undesirable Vibrations And Use Vibrations To Advantage, Where Possible, Considering Applications Both Commonplace And In Highly Sophisticated Hi-Tech Areas Like Aerospace, Automated/Robot Controlled Production Industries, Etc.This Book Is Written To Convey Succinctly And Clearly The Various Aspects Of Nonlinear Vibrations Through A Judicious Choice Of Text Material, Profusely Illustrating Important Points, And Giving A Mathematical Tinge At A Level Easily Grasped By A Graduate/Undergraduate Student. As All Engineering Ideas Normally Culminate Into A Hardware Hem, This Book Will Serve All Interdisciplinary Fields Of Engineering.
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ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Peter C. Müller
Publisher: Springer
ISBN: 9789401087353
Category : Technology & Engineering
Languages : en
Pages : 327
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Book Description
In the last decade the development in vibration analysis was char acterized by increasing demands on precision and by the growing use of electronic computers. At present, improvements in precision are obtained by a more accurate modelling of technical systems. Thus, for instance, a system with one degree of freedom is often not accepted, as it used to be, as a model for vibration analysis in mechanical engineering. As a rule, vehicles and machines have to be modelled as systems with many degrees of freedom such as multibody systems, finite element systems or con tinua. The mathematical description of multi-degree-of-freedom systems leads to matrix representations of the corresponding equations. These are then conveniently analyzed by means of electronic computers, that is, by the analog computer and especially by the digital machine. Hence there exists a mutually stimulating interaction between the growing require ments and the increasing computational facilities. The present book deals with linear vibration analysis of technical systems with many degrees of freedom in a form allowing the use of computers for finding solutions. Part I begins with the classification of vibrating systems. The main characteristics here are the kind of differential equation, the time depen dence of the coefficients and the attributes of the exciting process. Next it is shown by giving examples involving mechanical vibrating systems how to set up equations of motion and how to transform these into state equations.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 780
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Book Description
Author: Yon-ho Chong
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Demeter G. Fertis
Publisher: Springer Science & Business Media
ISBN: 3540329765
Category : Technology & Engineering
Languages : en
Pages : 347
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Book Description
This book concentrates on the nonlinear static and dynamic analysis of structures and structural components that are widely used in everyday engineering applications. It presents unique methods for nonlinear problems which permits the correct usage of powerful linear methods. Every topic is thoroughly explained and includes numerical examples. The new concepts, theories and methods introduced simplify the solution of the complex nonlinear problems.
