عنوان

Nonlinear Oscillations in Mechanical Engineering

شابک

3540281169

شابک

9783540281160

شماره

b550208

عنوان اصلي

Nonlinear Oscillations in Mechanical Engineering

نام عام مواد

[Book]

نام نخستين پديدآور

by Alexander Fidlin.

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

Springer-Verlag Berlin Heidelberg

تاریخ نشرو بخش و غیره

2006

متن يادداشت

Titre de l'écran-titre (visionné le 2 juillet 2008).

متن يادداشت

Title Page --;Preface --;Contents --;1. Introduction --;1.1. Usual Sources of Nonlinearity in Mechanical Engineering --;1.1.1 Geometrical Nonlinearities --;1.1.2 Physical Nonlinearities --;1.1.3 Structural or Designed Nonlinearities --;1.1.4 Constraints --;1.1.5 Nonlinearity of Friction --;1.2 The Basic Ideas of the Perturbation Analysis --;1.2.1 Variation of Free Constants and Systems in the Standard Form --;1.2.2 Standard Averaging as an Almost Identical Transformation --;1.2.3 Method of Multiple Scales --;1.2.4 Direct Separation of Motions --;1.2.5 Relationship between These Methods --;1.3 Examples of Elementary Nonlinear Problems Solved by Standard --;1.3.1 Instability and Self Excited Oscillations in the Van Der Pol's --;1.3.2 The Main Resonance in a System with a Small Cubic Nonlinearity --;1.3.3 Secondary Resonances in the System with Cubic Nonlinearity and --;1.4 Axiomatic Theory of Collisions --;1.4.1 Impulsive Motion of the Point Mass --;1.4.2 Impulsive Motion of a System of Point Masses --;1.4.3 Impulsive Motion of a Rigid Body --;1.4.4 Collinear Collision of Two Point Masses --;1.4.5 Direct Collisions in Mechanical Systems with Ideal Constraints --;1.4.6 Concluding Remarks --;2. Oscillations in Systems with Dry Friction --;2.1 Self Excited Oscillations of the Mass-on-Moving-Belt --;2.1.1 The Problem Description; Equations of Motion --;2.1.2 Types of Motion --;2.1.3 Pure Slip Oscillations --;2.1.4 Stick-slip Oscillations --;2.1.5 Discussion of the Results --;2.1.6 Concluding Remarks --;2.2 Friction Induced Flutter --;2.2.1 Mathematical Basics of Flutter in a System with Two Degrees of --;2.2.2 Wobbling of an Elastically Supported Friction Disc --;2.2.3 On the Unstable Behavior of an Asymmetrically Supported Disc --;2.2.4 Conclusions --;2.3 Vibration Induced Displacement. Averaging in Discontinuous Systems --;2.3.1 A Simple Example of the Vibration Induced Displacement --;2.3.2 Mathematical Basics for the First Order Averaging of the Constant --;2.3.3 The Elementary Example of the Vibration Induced Displacement. --;2.3.4 Discussion of the Results --;2.3.5 Conclusions --;2.4 Vibration Induced Displacement of a Resonant Friction Slider --;2.4.1 Problem Description --;2.4.2 Equations of Motion --;2.4.3 Illustration to System's Behavior --;2.4.4 Transformation to the Principal Form. Amplitude of the Resonator --;2.4.5 Motion of the Slider: Preparing for Averaging --;2.4.6 Performance in Dependence of Parameters; Comparison etween --;2.4.7 Conclusions --;3. Systems with Almost Elastic Collisions --;3.1 The Basic Ideas of Discontinuous Averaging. Unfolding --;3.1.1 The Basic Idea of the Unfolding Transformation for the Mass --;3.1.2 The Unfolding Transformation and Averaging in Case of Slightly --;3.1.3 Comparison between Analytic and Numeric Predictions for the --;3.1.4 Unfolding Transformation and Averaging for the Free Mass in a --;3.2. The "Mass-on-Moving-Belt" Limited at One Side: First Order --;3.3. Second Order Approximation in Systems with Almost Elastic --;3.3.1 General Mathematical Approach --;3.3.2 The Second Order Approximation for the Amplitude of the Mass --;3.3.3 Discussion of the Results and Comparisons with Numeric --;3.4. The "Mass on Moving Belt" in a clearance --;3.4.1 The Gov.

موضوع مستند نشده

Engineering.

موضوع مستند نشده

Mechanics.

موضوع مستند نشده

Vibration.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Alexander Fidlin.

مستند نام اشخاص تاييد نشده

Alexander Fidlin

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y