Mechanical Dynamics

basic of dynamic

The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems, the book covers a wide number of problems.
This volume deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems.

The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems (including bifurcation, catastrophes and chaos), the book covers a wide number of problems (classical or new ones).

The Aim ofthe Book. This book is concerned with the subjects of vibrations and system dynamics on an integrated basis. Design engineers find themselves confronted with demands made on machin­ ery, structures and dynamic systems which are increasing at such a rate that dy­ namic performance requirements are always rising. Hence, advances in analysis and design techniques have to keep pace with recent developments in strong lightweight materials, more extensive knowledge of materials properties and structural loading. Whereas the excitation applied to structures is always increas­ ing, the machine mass and damping is reduced. Consequently, unwanted vibra­ tions can have very serious effects on dynamic systems.

This book develops and substantiates methods for structural mathematical modeling in the context of protecting machines and equipment from vibration effects. It analyzes problems concerning the dynamic interactions of elements in mechanical oscillatory systems, constructing suitable mathematical models, estimating their dynamic properties, and adapting structural mathematical models to the equivalent forms. In turn, it develops a methodological basis for identifying the lever linkages and taking into account the peculiarities of their influence on the dynamic properties of systems.

The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems, the book covers a wide number of problems.
This volume deals with analytical mechanics.

This second volume of Mechanical Systems, Classical Models, deals with the dynamics of systems consisting of discrete particles as well as continuous systems. While differences between these models are highlighted, the generality of the proofs and corresponding computations yields results that are expressed in a common form for both discrete and continuous systems.