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Classical Mechanics : Kinematics and Statics / by Jan Awrejcewicz
Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Advances in Mechanics and Mathematics ; 28 | SpringerLink BücherVerlag: New York, NY : Springer, 2012Beschreibung: Online-Ressource (XIII, 440 p. 260 illus., 258 illus. in color, digital)ISBN:- 9781461437918
- 530.15
- QA401-425 QC19.2-20.85
- QA401-425
- QC19.2-20.85
Inhalte:
Zusammenfassung: Preface -- 1. Fundamental Principles of Mechanics -- 2. Statics -- 3. Geometry of Masses -- 4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies -- 5. Kinematics of a Rigid Body and Composite Motion of a Point -- 6. Kinematics of a Deformable Body.Zusammenfassung: 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.PPN: PPN: 1651639027Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
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 Rigid Body3.7.1 Determination of Moments of Inertia of a Body with Respect to an Arbitrary Axis; 3.7.2 Determination of Mass Moments of Inertia of a Rigid Body; References; Chapter 4 Particle Kinematics and an Introduction to the Kinematics of Rigid Bodies; 4.1 Particle Motion on a Plane; 4.1.1 Motion of a Particle and Trajectory (Path) of Motion; 4.1.2 Velocity of a Particle; 4.1.3 Acceleration of a Particle; 4.2 Selected Problems of Planar Motion of a Particle; 4.2.1 Rectilinear Motion
4.2.2 Rectilinear Harmonic Motion and Special Cases of Plane Curvilinear Motion4.2.3 Circular, Rectilinear, and Curvilinear Motion in Vector Approach; 4.3 Radius Vector and Rectangular and Curvilinear Coordinates in Space; 4.3.1 Introduction; 4.3.2 Classification of Particle Motion with Regard to Accelerations of Motion; 4.3.3 Curvilinear Coordinates; 4.4 Natural Coordinates; 4.4.1 Introduction; 4.4.2 Basic Notions; 4.4.3 Velocities and Accelerations in Natural Coordinates; 4.5 Kinematic Pairs and Chains, Joint Variables, and the Denavit-Hartenberg Convention; 4.5.1 Kinematic Pairs and Chains
4.5.2 Joint Variables and the Denavit-Hartenberg Convention4.6 Classification of Kinematic Problems; References; Chapter 5 Kinematics of a Rigid Body and Composite Motion of a Point; 5.1 Translational and Rotational Motion; 5.1.1 Rigid Body in a Three-Dimensional Space and Degrees of Freedom; 5.1.2 Velocity of Points of a Rigid Body; 5.1.3 Translational Motion; 5.1.4 Rotational Motion; 5.1.5 Angular Velocities and Angular Accelerations as Vectors and the Vector of Small Rotation; 5.2 Planar Motion; 5.2.1 Introduction; 5.2.2 Instantaneous Center of Velocities
5.2.2.1 Instantaneous Center of Velocities
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