Selected topics in vibrational mechanics
edited by Ilya Blekhman ; contributing authors, I.I. Blekhman ... [et al.].
Bok Engelsk 2004 · Electronic books.
| Utgitt | Singapore ; River Edge, NJ : : World Scientific, , c2004.
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| Omfang | 1 online resource (438 p.)
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| Opplysninger | Description based upon print version of record.. - Contents ; Foreword ; Preface ; Part I. The Basis of Vibrational Mechanics ; Chapter 1. On Some Nonlinear Oscillatory Effects. The Main Idea of Vibrational Mechanics ; 1.1 On the Effects Caused by the Action of Vibration in Nonlinear Oscillatory Systems. - 1.2 The Main Idea of Vibrational Mechanics. Observer O and Observer V Chapter 2. The Main Mathematical Apparatus of Vibrational Mechanics and of the Method of Direct Separation of Motions ; 2.1 Preliminary Remarks. - 2.2 The Initial Equation and Its Reduction to a System of Integro-differential Equations 2.3 The Case When a Separate Equation for the Slow Component is Obtained ; 2.4 The Main Assumption of Vibrational Mechanics Its Formalization and Conditions of its Fulfillment. - 2.5 The Main Equation of Vibrational Mechanics. Vibrational Forces Observers O and V 2.6 Method of an Approximate Derivation of the Expression of Vibrational Forces and of Composing the Main Equation of Vibrational Mechanics ; 2.7 Important Special Case. - 2.8 On the Case of a Mechanical Systems with Constraints 2.9 On the Simplifications of Solving Equations for the Fast Component of Motion. Purely Inertial Approximation ; 2.10 Additional Remarks Certain Generalizations ; 2.11 Summary: On the Procedure of the Practical Use of the Method. - Chapter 3. On Other Methods of Obtaining Expressions for the Vibrational Forces and the Main Equations of Vibrational Mechanics. - Vibrational mechanics is a new, intensively developing section of nonlinear dynamics and of the theory of nonlinear oscillations. It presents a general approach to the study of the effects of vibration on nonlinear systems. This approach is characterized by simplicity of application and by physical clearness. In recent years a number of new, essential results have been obtained both on the development of the mathematical apparatus of vibrational mechanics and on the solution of certain applied problems. This book reflects those results through the ingenious presentation of the authors - well
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 9812380558
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