2 edition of **Operational methods in nonlinear mechanics** found in the catalog.

Operational methods in nonlinear mechanics

Louis Albert Pipes

- 361 Want to read
- 28 Currently reading

Published
**1965**
by Dover Publications in New York
.

Written in English

- Nonlinear mechanics.,
- Differential equations, Nonlinear.

**Edition Notes**

Statement | by Louis A. Pipes. |

Classifications | |
---|---|

LC Classifications | QA427 .P5 |

The Physical Object | |

Pagination | viii, 99 p. |

Number of Pages | 99 |

ID Numbers | |

Open Library | OL5944344M |

LC Control Number | 65015516 |

I think Strogatz's Nonlinear Dynamics and Chaos is a good introduction. A course's worth of his lectures teaching a class with this text is available online, as well. The lectures are on the YouTube channel "Cornell MAE" as a playlist. Shlomo Sternberg's Dynamical Systems is a good companion or second book on this topic. Operational Methods in Nonlinear Mechanics by Louis A. Pipes Topics: Nonlinear systems, Nonlinear Mechanics, System theory, Servo-systems, Control systems Community Texts

The book can also be used, as a supplemental text, in graduate-level university courses on optimal control and numerical methods in optimal control. It should also be possible to develop a special topics graduate-level course based on the material in this book, supplemented with theoretical details from the reference by: Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a.

LYAPUNOV Function Phase Portrait Phase Plane Phase Curve Nonlinear Mechanics These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm : Friedrich Pfeiffer, Thorsten Schindler. This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation Cited by: 1.

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OPERATIONAL METHODS IN NONLINEAR MECHANICS, on *FREE* shipping on qualifying cturer: Dover. Operational Methods in Nonlinear MechanicsbyLouis A. Pipes. EMBED (for hosted blogs and item tags). Additional Physical Format: Online version: Pipes, Louis Albert, Operational methods in nonlinear mechanics.

New York, Dover Publications []. Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics.

The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear Book Edition: 1.

In mathematical modeling of problems of heat- and mass-transfer [, ] there is a problem with solution of mass conservation equations, momentum equations, and energy equations. A typical equation can be an equation in partial derivatives of the first order with variables in factors and nonlinear sources.

In this chapter on the basis of method quasi-linearization [ ], operation calculation [ ], and locally-one. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena.

Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming.

Material and methods Provide sufficient details to allow the work to be reproduced by an independent researcher. Methods that are already published should be summarized, and indicated by a reference.

Methods that are already published should be summarized, and indicated by a reference. Incident flux > Reflected flux Methods in Nonlinear Mechanics 5 The reflected flux depends upon x9 and we emphasize this fact by the notation r{x). Similarly the transmitted flux is denoted by t(x). This is once again a meaningful imbedding and, indeed, the imbedding used by the experimental physicist in the study of these by: 4.

The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear.

The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics. In this post, we will see the book Nonlinear Phenomena in Plasma Physics and Hydrodynamics edited by v.

This book is part of the Advances in Science and Technology in the USSR Physics Series. About the book (From the Preface) The modern theory of nonlinear phenomena is going through a period of explosive growth.

The book is intended to combine in a reasonably connected and unified manner all these problems starting with the very fundamental postulates of nonlinear continuum mechanics via different structural models of "engineer ing" accuracy to numerical solution methods which can effectively be used for solving boundary-value problems of.

He served as co-Chair of the ASME IDETC (Boston), Chair of NODYCON (Rome, Italy), Chair of the ASME Technical Committee Multibody Systems and Nonlinear Dynamics (). He is Editor in Chief of Nonlinear Dynamics (Springer Nature).

He has published a Springer book entitled “Nonlinear Structural Mechanics. Frederick A. Leckie,the series editor for applied mechanics, and I are pleased to presentthis volume in the Series: Nonlinear Computational Structural Mechan ics: New Approaches and Non-Incremental Methods of Calculation, by Pierre Ladeveze.

A new approach has been developed for almost periodic solutions for undamped nonlinear differential equations. This approach furnishes the construction of solutions for nonlinear problems. This method has many other applications in analysis such as partial differential equations and differential geometry.

Nonlinear Mechanics, Second Edition gives you what you want - convenient methods of analysis and valuable data for comparison. This is the only book to offer a comprehensive treatment of structural components with variable thickness and a variable modulus of : Hardcover.

With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure by: Nonlinear Structural Mechanics: Theory, Dynamical Phenomena and Modeling offers a concise, coherent presentation of the theoretical framework of nonlinear structural mechanics, computational methods, applications, parametric investigations of nonlinear phenomena and their mechanical interpretation towards design.

The theoretical and computational tools that enable the 5/5(1). Introduction to Non-Linear Mechanics Mass Market Paperback – January 1, See all formats and editions Hide other formats and editions. Price New from Used from Mass Market Paperback, "Please retry" — Manufacturer: Princeton U.P.

Read the latest articles of International Journal of Non-Linear Mechanics atElsevier’s leading platform of peer-reviewed scholarly literature. Knowledge transfer must be facilitated by software development and databases, but also by information and teaching.

From that perspective, Nonlinear Mechanics of Materials offers an update of the knowledge necessary to understand and use the most recent models of.

Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. For example, + −. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation).

However, systems of algebraic equations are more.Nonlinear Mechanics, Second Edition gives you what you want - convenient methods of analysis and valuable data for comparison. This is the only book to offer a comprehensive treatment of structural components with variable thickness and a variable modulus of elasticity.In their prior Dover book, Theoretical Mechanics of Particles and Continua, the authors provided a self-contained account of classical supplement and update offers a bridge to contemporary mechanics.

The original book's focus on continuum mechanics forms the basis for this discussion of nonlinear continuous systems. edition/5(7).