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Download or read book Nonlinear Vibrations in Mechanical and Electrical Systems written by and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Johnston Stoker
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (5 download)
Download or read book Nonlinear Vibrations in Mechanical and Electrical Systems written by James Johnston Stoker and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Johnston Stoker
Publisher :
ISBN 13 :
Total Pages : 273 pages
Book Rating : 4.:/5 (254 download)
Download or read book Nonlinear Vibrations written by James Johnston Stoker and published by . This book was released on 1963 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Wagg
Publisher : Springer
ISBN 13 : 3319106449
Total Pages : 461 pages
Book Rating : 4.3/5 (191 download)
Download or read book Nonlinear Vibration with Control written by David Wagg and published by Springer. This book was released on 2014-11-03 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.
Author : Wanda Szemplinska
Publisher : Springer Science & Business Media
ISBN 13 : 9780792303695
Total Pages : 370 pages
Book Rating : 4.3/5 (36 download)
Download or read book The Behaviour of Nonlinear Vibrating Systems written by Wanda Szemplinska and published by Springer Science & Business Media. This book was released on 1990-06-30 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide students, practicing engineers and scientists with a treatment of nonlinear phenomena occurring in physical systems. Although only mechanical models are used, the theory applies to all physical systems governed by the same equations, so that the book can be used to study nonlinear phenomena in other branches of engineering, such as electrical engineering and aerospace engineering, as well as in physics. The book consists of two volumes. Volume I is concerned with single degree-of-freedom systems and it presents the fundamental concepts of nonlinear analysis. Both analytical methods and computer simulations are included. The material is presented in such a manner that the book can be used as a graduate as well as an undergraduate textbook. Volume II deals with multi-degree-of-freedom systems. Following an introduc tion to linear systems, the volume presents fundamental concepts of geometric theory and stability of motion of general nonlinear systems, as well as a concise discussion of basic approximate methods for the response of such systems. The material represents a generalization of a series of papers on the vibration of nonlinear multi-degree-of-freedom systems, some of which were published by me and my associates during the period 1965 - 1983 and some are not yet published.
Author : Malte Krack
Publisher : Springer
ISBN 13 : 3030140237
Total Pages : 167 pages
Book Rating : 4.0/5 (31 download)
Download or read book Harmonic Balance for Nonlinear Vibration Problems written by Malte Krack and published by Springer. This book was released on 2019-03-23 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.
Author : Harold Thayer Davis
Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.:/5 (31 download)
Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by . This book was released on 1961 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xingjian Jing
Publisher : Springer Nature
ISBN 13 : 9811659125
Total Pages : 1210 pages
Book Rating : 4.8/5 (116 download)
Download or read book Advances in Applied Nonlinear Dynamics, Vibration and Control -2021 written by Xingjian Jing and published by Springer Nature. This book was released on 2021-09-23 with total page 1210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is to provide readers with up-to-date advances in applied and interdisciplinary engineering science and technologies related to nonlinear dynamics, vibration, control, robotics, and their engineering applications, developed in the most recent years. All the contributed chapters come from active scholars in the area, which cover advanced theory & methods, innovative technologies, benchmark experimental validations and engineering practices. Readers would benefit from this state-of-the-art collection of applied nonlinear dynamics, in-depth vibration engineering theory, cutting-edge control methods and technologies, and definitely find stimulating ideas for their on-going R&D work. This book is intended for graduate students, research staff and scholars in academics, and also provides useful hand-up guidance for professional and engineers in practical engineering missions.
Author : Vasile Marinca
Publisher : Springer Science & Business Media
ISBN 13 : 364222735X
Total Pages : 403 pages
Book Rating : 4.6/5 (422 download)
Download or read book Nonlinear Dynamical Systems in Engineering written by Vasile Marinca and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.
Author : David A. Evensen
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (31 download)
Download or read book A Theoretical and Experimental Study of the Nonlinear Flexural Vibrations of Thin Circular Rings written by David A. Evensen and published by . This book was released on 1965 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear flexural vibrations of thin circular rings are analyzed by assuming two vibration modes and then applying Galerkin's procedure on the equations of motion. This procedure results in coupled nonlinear ordinary differential equations with time as the independent variable. The applied loading is taken to be harmonic in time, and approximate solutions to the equations are obtained by the method of averaging. One such solution involves the vibration of a single bending mode; a subsequent stability analysis shows that this single-mode response is valid only for certain combinations of amplitude, nonlinear coupling causes its companion mode to respond and participate in the motion. Approximate solutions are obtained for this coupled-mode case, and their stability is examined. The steady-state response curves contain an unusual "gap", where both the one- and two-mode solutions are unstable. These results were confirmed on an analog computer, and nonsteady vibrations were observed in the gap region. An experimental study of the problem was also conducted. Theory and experiment both indicate a nonlinearity of the softening type and the appearance of the companion mode. Measurements of the steady-state response are in good agreement with the calculated values, and the experimentally determined mode shapes agree with the form of the assumed deflection. The analytical and experimental results exhibit several features that are characteristic of nonlinear vibrations of axisymmetric systems in general and of circular cylindrical shells in particular.
Author : Harold Thayer Davis
Publisher : Courier Corporation
ISBN 13 : 9780486609713
Total Pages : 598 pages
Book Rating : 4.6/5 (97 download)
Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by Courier Corporation. This book was released on 1962-01-01 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.
Author : Haym Benaroya
Publisher : CRC Press
ISBN 13 : 1420080571
Total Pages : 992 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mechanical Vibration written by Haym Benaroya and published by CRC Press. This book was released on 2009-06-10 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical Vibration: Analysis, Uncertainties, and Control simply and comprehensively addresses the fundamental principles of vibration theory, emphasizing its application in solving practical engineering problems. The authors focus on strengthening engineers’ command of mathematics as a cornerstone for understanding vibration, control, and the ways in which uncertainties affect analysis. It provides a detailed exploration and explanation of the essential equations involved in modeling vibrating systems and shows readers how to employ MATLAB® as an advanced tool for analyzing specific problems. Forgoing the extensive and in-depth analysis of randomness and control found in more specialized texts, this straightforward, easy-to-follow volume presents the format, content, and depth of description that the authors themselves would have found useful when they first learned the subject. The authors assume that the readers have a basic knowledge of dynamics, mechanics of materials, differential equations, and some knowledge of matrix algebra. Clarifying necessary mathematics, they present formulations and explanations to convey significant details. The material is organized to afford great flexibility regarding course level, content, and usefulness in self-study for practicing engineers or as a text for graduate engineering students. This work includes example problems and explanatory figures, biographies of renowned contributors, and access to a website providing supplementary resources. These include an online MATLAB primer featuring original programs that can be used to solve complex problems and test solutions.
Author : D. E. Newland
Publisher : Courier Corporation
ISBN 13 : 0486317722
Total Pages : 612 pages
Book Rating : 4.4/5 (863 download)
Download or read book Mechanical Vibration Analysis and Computation written by D. E. Newland and published by Courier Corporation. This book was released on 2013-04-26 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on applications rather than rigorous proofs, this volume is suitable for upper-level undergraduates and graduate students concerned with vibration problems. In addition, it serves as a practical handbook for performing vibration calculations. An introductory chapter on fundamental concepts is succeeded by explorations of frequency response of linear systems and general response properties, matrix analysis, natural frequencies and mode shapes, singular and defective matrices, and numerical methods for modal analysis. Additional topics include response functions and their applications, discrete response calculations, systems with symmetric matrices, continuous systems, and parametric and nonlinear effects. The text is supplemented by extensive appendices and answers to selected problems. This volume functions as a companion to the author's introductory volume on random vibrations (see below). Each text can be read separately; and together, they cover the entire field of mechanical vibrations analysis, including random and nonlinear vibrations and digital data analysis.
Author : Francis C. Moon
Publisher : Springer Science & Business Media
ISBN 13 : 9780792352761
Total Pages : 580 pages
Book Rating : 4.3/5 (527 download)
Download or read book IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics written by Francis C. Moon and published by Springer Science & Business Media. This book was released on 1998-10-31 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.
Author : J. J. Stoker
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.4/5 (91 download)
Download or read book Nonlinear Vibrations in Mechanical and Electrical Systems written by J. J. Stoker and published by Wiley-Interscience. This book was released on 1992-01-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents underlying principles and theories using an easily understood approach. Focuses specifically on those features of the problems in which nonlinearity results in a variety of distinctive new phenomena that can be treated by techniques both interesting and instructive in themselves and which do not require the use of sophisticated mathematics. Recent work discussed includes the endeavors of Levinson and Smith on the existence and uniqueness of the periodic solution in a general case of the self-excited type, Haag and Dorodnitsyn on asymptotic developments and quantities associated with relaxation oscillations. Along with 5 appendices containing rigorous existence and uniqueness proofs, readers are both implicitly and explicitly supplied with hints regarding new problems to be tackled plus numerous ideas and techniques that can be used to solve them.
Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Note written by and published by . This book was released on 1967 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jose Manoel Balthazar
Publisher : Springer Nature
ISBN 13 : 3030966038
Total Pages : 407 pages
Book Rating : 4.0/5 (39 download)
Download or read book Nonlinear Vibrations Excited by Limited Power Sources written by Jose Manoel Balthazar and published by Springer Nature. This book was released on 2022-04-18 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers a wide range of applied engineering research compactly presented in one volume, and shows innovative practical engineering solutions for automotive, marine and aviation industries, as well as power generation related to nonlinear vibrations excited by limited power sources. While targeting primarily the audience of professional scientists and engineers, the book can also be useful for graduate students, and for all of those who are relatively new to the area and are looking for a single source with a good overview of the state-of-the-art as well as up-to-date information on theories, analytical, numerical methods, and their applications in design, simulations, testing, and manufacturing. The readers will find here a rich mixture of approaches, software tools and case studies used to investigate and optimize diverse powertrains, their functional units and separate machine parts based on different physical phenomena, their mathematical model representations, solution algorithms, and experimental validation.
