Classical mechanics

Classical mechanics

by Awrejcewicz, J., (Jan)

Type Book
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This is the first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from the same root. Moreover, the author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems. Classical Mechanics: Kinematics and Statics is addres…

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Title Statements

  • Full title :Classical mechanics / Jan Awrejcewicz.

Summary

This is the first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from the same root. Moreover, the author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems. Classical Mechanics: Kinematics and Statics is addressed to a wide spectrum of undergraduate and graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering. This volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. It is also recommended as a supplementary textbook at the upper undergraduate and graduate levels. In Chapter 1 the fundamental principles of mechanics are formulated, illustrated, and discussed. Chapter 2 is devoted to statics and Chapter 3 presents the geometry of masses. Kinematics of a particle, the curvilinear and normal coordinates, and kinematic pairs and chains are the main focus of Chapter 4. Chapter 5 studies the kinematics of a rigid body and a composite motion of a particle. Chapter 6 ends the text with kinematics of a deformable body.

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Edition Statements

  • Publication Date:2012.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:New York
  • Language:eng
  • Publication Date:2012.

Notes

Volume 3 co-authored with Zbigniew Koruba.

The Physical Object

  • Description:1 online resource (volumes <1-3>) : : illustrations (some color)

Edition Identifiers

  • ISBN:9781461437918, 1461437911, 9781461437406, 1461437407, 9781461439783, 1461439787
  • oclc:ocn809853390
  • LC Classification:TA350
  • Dewey Decimal:530

Table of Contents

Classical Mechanics; Preface; Contents; Chapter 1 Fundamental Principles of Mechanics; 1.1 Introduction; 1.2 D'Alembert's Principle; 1.3 Principle of Virtual Work; 1.4 Increment of a Function and Variation of a Function; References; Chapter 2 Statics; 2.1 A Concept of Equilibrium; 2.2 Geometrical Equilibrium Conditions of a Planar ForceSystem; 2.3 Geometrical Equilibrium Conditions of a Space Force System; 2.4 Analytical Equilibrium Conditions; 2.5 Mechanical Interactions, Constraints, and Supports; 2.6 Reduction of a Space Force System to a Systemof Two Skew Forces.

2.7 Reduction of a Space Force System to a Wrench2.8 Friction; 2.9 Friction and Relative Motion; 2.10 Friction of Strings Wrapped Around a Cylinder; 2.11 Friction Models; 2.11.1 Introduction; 2.11.2 A Modified Model of Coulomb Friction (CCZ Model); References; Chapter 3 Geometry of Masses; 3.1 Basic Concepts; 3.2 Second Moments; 3.3 The Inertia Matrix and Its Transformations; 3.4 Principal Axes and Principal Moments on a Plane; 3.5 Inertia Tensor, Principal Axes of Inertia, and an Ellipsoidof Inertia; 3.6 Properties of Principal and Principal Centroidal Axes of Inertia.

3.7 Determination of Moments of Inertia of a R…

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