TY - BOOK AU - Ginsberg,Jerry H. TI - Engineering dynamics SN - 0521883032 AV - TA352 .G57 2008 U1 - 620.104 22 PY - 2008/// CY - Cambridge, New York PB - Cambridge University Press KW - Dynamics N1 - Includes bibliographical references and index; 1; Basic Considerations --; 1.1; Vector Operations --; 1.1.1; Algebra and Computations --; 1.1.2; Vector Calculus - Velocity and Acceleration --; 1.2; Newtonian Mechanics --; 1.2.1; Newton's Laws --; 1.2.2; Systems of Units --; 1.2.3; Energy and Momentum --; 1.3; Biographical Perspective --; 2; Particle Kinematics --; 2.1; Path Variables --; 2.1.1; Tangent and Normal Components --; 2.1.2; Parametric Description of Curves --; 2.1.3; Binormal Direction and Torsion of a Curve --; 2.2; Rectangular Cartesian Coordinates --; 2.3; Curvilinear Coordinates --; 2.3.1; Cylindrical and Polar Coordinates --; 2.3.2; Spherical Coordinates --; 2.3.3; Arbitrary Curvilinear Coordinates --; 2.4; Mixed Kinematical Descriptions --; 3; Relative Motion --; 3.1; Coordinate Transformations --; 3.1.1; Rotation Transformations --; 3.1.2; Rotation Sequences --; 3.2; Displacement --; 3.3; Time Derivatives --; 3.4; Angular Velocity and Acceleration --; 3.4.1; Analytical Description --; 3.4.2; Procedure --; 3.5; Velocity and Acceleration Analysis Using a Moving Reference --; Frame --; 3.6; Observations from a Moving Reference Frame --; 4; Kinematics of Constrained Rigid Bodies --; 4.1; General Equations --; 4.2; Eulerian Angles --; 4.3; Interconnections and Linkages --; 4.4; Rolling --; 5; Inertial Effects for a Rigid Body --; 5.1; Linear and Angular Momentum --; 5.1.1; System of Particles --; 5.1.2; Rigid Body - Basic Equations --; 5.1.3; Kinetic Energy --; 5.2; Inertia Properties --; 5.2.1; Moments and Products of Inertia --; 5.2.2; Transformations --; 5.2.3; Inertia Ellipsoid --; 5.2.4; Principal Axes --; 5.3; Rate of Change of Angular Momentum --; 6; Newton - Euler Equations of Motion --; 6.1; Fundamental Equations --; 6.1.1; Basic Considerations --; 6.1.2; Procedural Steps --; 6.2; Planar Motion --; 6.3; Newton - Euler Equations for a System --; 6.4; Momentum and Energy Principles --; 6.4.1; Impulse - Momentum Principles --; 6.4.2; Work - Energy Principles --; 6.4.3; Collisions of Rigid Bodies --; 7; Introduction to Analytical Mechanics --; 7.1; Background --; 7.1.1; Principle of Virtual Work --; 7.1.2; Principle of Dynamic Virtual Work --; 7.2; Generalized Coordinates and Kinematical Constraints --; 7.2.1; Selection of Generalized Coordinates --; 7.2.2; Constraint Equations --; 7.2.3; Configuration Space --; 7.3; Evaluation of Virtual Displacements --; 7.3.1; Analytical Method --; 7.3.2; Kinematical Method --; 7.4; Generalized Forces --; 7.4.1; Definition of Generalized Forces --; 7.4.2; Relation Between Constraint Forces and Conditions --; 7.4.3; Conservative Forces --; 7.5; Lagrange's Equations --; 7.6; Solution of Equations for Holonomic Systems --; 8; Constrained Generalized Coordinates --; 8.1; Lagrange's Equations - Constrained Case --; 8.2; Computational Methods --; 8.2.1; Algorithms --; 8.2.2; Numerical Error Checking --; 8.2.3; Initial Conditions --; 8.2.4; Analysis of Coulomb Friction --; 9; Alternative Formulations --; 9.1; Hamilton's Principle --; 9.1.1; Derivation --; 9.1.2; Calculus of Variations --; 9.1.3; Ritz Series Method --; 9.2; Generalized Momentum Principles --; 9.2.1; Hamilton's Equations --; 9.2.2; Conservation of the Hamiltonian --; 9.2.3; Ignorable Coordinates and Routh's Method --; 9.3; Formulations with Quasi-Coordinates --; 9.3.1; Quasi-Velocities and Quasi-Coordinates --; 9.3.2; Gibbs - Appell Equations --; 9.3.3; Kane's Equations --; 9.3.4; Relationship of the Formulations --; 10; Gyroscopic Effects --; 10.1; Free Motion --; 10.1.1; Axisymmetric Bodies --; 10.1.2; Arbitrary Bodies --; 10.1.3; Poinsot's Construction for Arbitrary Bodies --; 10.2; Spinning Top --; 10.3; Gyroscopes for Inertial Guidance --; 10.3.1; Free Gyroscope --; 10.3.2; Gyrocompass --; 10.3.3; Single-Axis Gyroscope N2 - "This text is a modern vector-oriented treatment of classical dynamics and its application to engineering problems. Based on Ginsberg's Advanced Engineering Dynamics 2nd edition, it develops a broad spectrum of kinematical concepts, which provide the framework for formulations of kinetics principles following the Newton-Euler and analytical approaches. This fresh treatment features many expanded and new derivations, with an emphasis on both breadth and depth and a focus on making the subject accessible to individuals from a broad range of backgrounds."--Publisher's website UR - http://www.loc.gov/catdir/enhancements/fy0743/2007018344-b.html ER -