Applied nonlinear dynamics and chaos of mechanical systems with discontinuities /
نام عام مواد
[Book]
نام نخستين پديدآور
editors, Marian Wiercigroch, Bram de Kraker.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
River Edge, NJ :
نام ناشر، پخش کننده و غيره
World Scientific,
تاریخ نشرو بخش و غیره
2000.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xv, 444 pages) :
ساير جزييات
illustrations.
فروست
عنوان فروست
World Scientific series in nonlinear science, Series A ;
مشخصه جلد
vol. 28
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references.
یادداشتهای مربوط به مندرجات
متن يادداشت
Preface; Contents; Chapter 1 Preliminaries; 1.1 Introduction; 1.2 Scope of the Book; 1.2.1 Outlining the Basis and Methods; 1.2.2 Impacting Systems; 1.2.3 Systems with Dry Friction; 1.2.4 Complex Mechanical Systems; Bibliography; Chapter 2 Mathematical Models of Mechanical Systems with Discontinuities; 2.1 Introduction; 2.2 Modelling Discontinuous Systems by Discontinuous Functions; 2.2.1 Numerical Algorithm; 2.2.2 Symmetrically Piecewise Linear Oscillator; 2.2.3 Experimental Bifurcation Diagrams; 2.3 Modelling Discontinuities by Smooth Functions; 2.3.1 Smoothing Discontinuities.
متن يادداشت
2.3.2 A symmetrically Piecewise Linear Oscillator2.4 Concluding Remarks; Bibliography; Chapter 3 Temporal and Spatial DiscontinuityTransformations; 3.1 Introduction; 3.2 Non-smooth Transformations of Positional Variables: Elimination of Constraints; 3.3 Non-smooth Transformation of Arguments; 3.3.1 Non-smooth Oscillating Time: Sawtooth Temporal Transformations; 3.3.2 Transformation of Set of First-order Equations of Motion; 3.3.3 Transformation of Set of Second-order Equations of Motion; 3.4 Periodic Impulsive and Discontinuous Excitations; 3.5 Use of Method of Averaging; 3.6 Conclusions.
متن يادداشت
4.4.5 4-DOF Beam with Nonlinear Support4.4.6 Concluding Remarks; Bibliography; Chapter 5 Impact Oscillator; 5.1 Introduction; 5.2 Theoretical Analysis of Periodic Impact Motion and its Stability; 5.3 Existence Regions of Impact Motions; 5.4 From Periodic into Chaotic Impacts; 5.4.1 Feigenbaum Period Doubling Cascade; 5.4.2 Grazing Bifurcation with Hysteresis; 5.4.3 The Interrupted Feigenbaum Cascade; 5.4.4 Interruption of the Saddle-Node Instability Development; 5.5 Influence of the Stop Compliance on the Impact Oscillator Behaviour; 5.6 Conclusions; Acknowledgement; Bibliography.
متن يادداشت
Chapter 6 Dynamics of Piecewise Linear Oscillators6.1 Introduction; 6.2 Dynamical System -- Periodic Response; 6.2.1 Linear Harmonic Motions; 6.2.2 Single-sided Contact Motions; 6.2.3 Double-sided Contact Motions; 6.2.4 Symmetric Motions; 6.3 Stability of Periodic Motions; 6.4 Bifurcation Analysis; 6.5 Multiple Degree of Freedom Systems; 6.6 Some Extensions; 6.7 Numerical Results; 6.8 Conclusions; Bibliography; Chapter 7 Quenching of Self-Excited Vibrations by Impact Damper; 7.1 Introduction; 7.2 Quenching of 1-DOF Self-Excited System; 7.2.1 Theoretical Analysis; 7.2.2 Experimental Studies.
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes. The main objective of this volume is.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Applied nonlinear dynamics and chaos of mechanical systems with discontinuities.