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標題: Titlebook: Dynamics and Bifurcations of Non-Smooth Mechanical Systems; Remco I. Leine,Henk Nijmeijer Book 2004 Springer-Verlag Berlin Heidelberg 2004 [打印本頁]

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Golam Kibria,A. K. Yousuf Haroonstudy non-smooth models and we will give a motivation for this monograph. After discussing different types of non-smooth systems and their characteristics and after giving the basic terminology, we present a literature survey and define the objective of the book. An outline of the succeeding chapters is given next.
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Jeevan Dananjaya Kottawa-Arachchiinitions from convex analysis are reviewed in Section 2.4. Finally, an introduction is given to linear complementarity problems, which will prove to be useful when analyzing non-smooth dynamical systems.
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Akhilesh Vijay,Sivasankaran Bijoy Nandana differential inclusion, for which a well-defined solution concept exists (see Chapter 3). Dry friction models of this type, which lead to differential inclusions, will be used in Chapter 5 to set up a mathematical formulation for mechanical multibody systems with dry friction.
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Dynamics and Bifurcations of Non-Smooth Mechanical Systems978-3-540-44398-8Series ISSN 1613-7736 Series E-ISSN 1860-0816
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Remco I. Leine,Henk NijmeijerCombines the knowledge of the field of non-smooth mechanics and nonlinear dynamics.Addresses researchers in engineering as well as mathematics
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Lecture Notes in Applied and Computational Mechanicshttp://image.papertrans.cn/e/image/283947.jpg
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Concluding Remarks,The preceding chapters present to some extent a theoretical framework as well as numerical methods for the analysis of non-smooth systems with an emphasis on mechanical systems with dry friction. Theory and methods are presented from Non-smooth Mechanics . Nonlinear Dynamics, which is the main objective of the book.
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Golam Kibria,A. K. Yousuf Haroonften studied by smooth approximations. And why should one like to consider bifurcations of non-smooth systems? The number of textbooks on bifurcation theory is large and the field of bifurcations is becoming a classical subfield of dynamical systems. In this introductory chapter we explain why we .
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Jeevan Dananjaya Kottawa-Arachchind set-valued functions (Section 2.1). The notion of continuity of functions is relaxed in Section 2.2 to semi-continuity for set-valued functions and the notion of the classical derivative of smooth functions is extended in Section 2.3 to generalized differentials for non-smooth functions. Some def
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Akhilesh Vijay,Sivasankaran Bijoy Nandanresence of dry friction. Moreover, dry friction is also responsible for stick-slip vibrations, which occur for instance in brakes, wheel-rail contact and bowed instruments such as violins. We briefly discuss the basic tribological phenomena related to dry friction in Section 4.1. Modelling of dry fr
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Ketan S. Tatu,James T. Andersonusions and form an important class of non-smooth systems. In this chapter we will discuss the mathematical formulation of mechanical multibody systems with unilateral contact and friction modelled with set-valued force laws. The contact laws for unilateral contact and dry friction will be expressed
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Ketan S. Tatu,James T. Anderson an equilibrium of the system but can also be a (quasi-)periodic motion. The stability of equilibria is (for the hyperbolic case) determined by the eigenvalues of the local linearization of the system. The stability of periodic solutions, however, is determined by so-called ., which are eigenvalues
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Bifurcations of Equilibria in Non-smooth Continuous Systems,ystem change when a parameter of the system is changed. The number and stability of equilibria can change at a certain critical parameter value. Loosely speaking, this qualitative change in the structural behaviour of the system is called ..
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