Nonlinear Oscillations of Self-excited Systems Under Multifrequency Parametric Excitation PDF Download
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Author: Wafa Limam
Publisher:
ISBN:
Category : Self-induced vibration
Languages : en
Pages : 166
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Book Description
Author: Wafa Limam
Publisher:
ISBN:
Category : Self-induced vibration
Languages : en
Pages : 166
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Author: Raymond H. Plaut
Publisher:
ISBN:
Category :
Languages : en
Pages : 5
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Book Description
Various problems related to the nonlinear oscillations of mechanical and structural systems were investigated. They involved the following topics: (1) Resonances in weakly nonlinear systems subjected to multifrequency parametric and/or external excitation, with one case being a self-excited system; (2) Dynamic behavior of cracked bars and rotating shafts, for the purpose of detecting cracks; (3) Vibrations of cylindrical membranes, with applications to inflatable dams; (4) Vibrations and stability of structures whose support resistance changes as the structure is loaded: (5) Dynamic instability of laminated composite plates under in-plane harmonically-varying loads; (6) Application of vibration data to nondestructively predict buckling loads; (7) Nonlinear oscillations of slender cantilevered beams under harmonically-varying loads; and (8) Prediction of a large jump in deflection, such as snap-through instability, under harmonically-varying loads. The results improve our understanding of the dynamics of mechanical and structural systems, and will be useful in the prevention of excessively large motions and unstable behavior.
Author: Jeanette J. Gentry
Publisher:
ISBN:
Category : Nonlinear oscillations
Languages : en
Pages : 116
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Author:
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 272
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Author: Vasile Marinca
Publisher: Springer Science & Business Media
ISBN: 3642227341
Category : Technology & Engineering
Languages : en
Pages : 403
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Book Description
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:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1572
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Book Description
Author: Yuri A. Mitropolsky
Publisher: Springer Science & Business Media
ISBN: 9401588473
Category : Technology & Engineering
Languages : en
Pages : 352
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Book Description
Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We use these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations.
Author: S.A. Hall
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1596
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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400
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Book Description
