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Book Cover
E-book
Author Nikravesh, Parviz E

Title Planar Multibody Dynamics : Formulation, Programming with MATLAB®, and Applications, Second Edition
Edition 2nd ed
Published Milton : Chapman and Hall/CRC, 2018

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Description 1 online resource (431 pages)
Contents Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Preface; Acknowledgments; Author; 1. Introduction; 1.1 Multibody Mechanical Systems; 1.2 Types of Analyses; 1.3 Methods of Formulation; 1.4 Computer Programs; 2. Preliminaries; 2.1 Reference Axes; 2.2 Scalars and Vectors; 2.2.1 Arrays; 2.3 Matrices; 2.3.1 Matrix Operations; 2.3.2 Linear Algebraic Equations; 2.4 Vector, Array, and Matrix Differentiation; 2.4.1 Time Derivatives; 2.4.2 Partial Derivatives; 2.5 Equations and Expressions; 2.5.1 Compact and Expanded Forms; 2.6 Problems; 3. Fundamentals of Planar Kinematics
3.1 A Particle3.1.1 Kinematics of a Particle; 3.2 Kinematics of a Rigid Body; 3.2.1 Coordinates of a Body; 3.2.2 Velocity of a Body; 3.2.3 Acceleration of a Body; 3.3 Definitions; 3.3.1 Array of Coordinates; 3.3.2 Degrees of Freedom; 3.3.3 Constraint Equations; 3.3.4 Kinematic Joints; 3.4 Problems; 4. Fundamentals of Planar Dynamics; 4.1 Newton's Laws of Motion; 4.2 Particle Dynamics; 4.2.1 Dynamics of a System of Particles; 4.3 Rigid body Dynamics; 4.3.1 Moment of a Force and Torque; 4.3.2 Centroidal Equations of Motion; 4.3.3 Noncentroidal Equations of Motion; 4.4 Multibody Dynamics
4.4.1 Applied Forces4.4.2 Reaction Forces; 4.5 Friction Force; 4.5.1 Wheel and Tire; 4.5.2 Motor and Driver; 4.6 Work and Energy; 4.7 Problems; References; 5. Vector Kinematics; 5.1 Use of Vectors; 5.1.1 Unit Vectors; 5.1.2 Types of Vectors; 5.2 Open-Chain Systems; 5.3 Closed-Chain Systems; 5.3.1 Slider-Crank Mechanism; 5.3.2 Four-Bar Mechanism; 5.3.3 Six-Bar Quick-Return Mechanism; 5.3.4 Six-Bar Dwell Mechanism; 5.3.5 Complete Kinematic Analysis; 5.4 Problems; 6. Free-Body Diagram; 6.1 FBD Examples; 6.1.1 Two-Body System (Unconstrained); 6.1.2 Two-Body System (Constrained)
6.1.3 Sliding Pendulum6.1.4 Slider-Crank Mechanism; 6.1.5 Four-Bar Mechanism; 6.2 Equations of Motion; 6.3 Force Analysis; 6.3.1 Slider-Crank Mechanism; 6.3.2 Four-Bar Mechanism; 6.3.3 Generalization of Force Analysis; 6.4 Problems; 7. Body-Coordinate Formulation; 7.1 General Procedure; 7.2 Kinematic Joints; 7.2.1 Revolute (Pin) Joint; 7.2.2 Translational (Sliding) Joint; 7.2.3 Revolute-Revolute Joint; 7.2.4 Revolute-Translational Joint; 7.2.5 Rigid Joint; 7.2.6 Simple Constraints; 7.2.7 Circular Disc; 7.2.8 Driver Constraints; 7.2.9 System Jacobian; 7.3 Unconstrained Equations of Motion
7.4 Constrained Equations of Motion7.4.1 Reaction Forces and Lagrange Multipliers; 7.5 Total Energy; 7.6 Problems; 8. Body-Coordinate Simulation Program; 8.1 Application Examples; 8.1.1 Double A-Arm Suspension; 8.1.2 MacPherson Suspension; 8.1.3 Cart; 8.1.4 Conveyor Belt and Friction; 8.1.5 Rod Impacting Ground; 8.2 Problems; 9. Joint-Coordinate Formulation; 9.1 Definitions; 9.1.1 Joint Coordinate and Joint Reference Point; 9.1.2 Recursive Kinematics; 9.2 Open-Chain Systems; 9.2.1 Absolute Angle; 9.2.2 Equations of Motion; 9.3 Closed-Chain Systems; 9.3.1 Cut-Joint Constraints
Summary Planar Multibody Dynamics: Formulation, Programming with MATLAB®, and Applications, Second Edition, provides sets of methodologies for analyzing the dynamics of mechanical systems, such as mechanisms and machineries, with coverage of both classical and modern principles. Using clear and concise language, the text introduces fundamental theories, computational methods, and program development for analyzing simple to complex systems. MATLAB is used throughout, with examples beginning with basic commands before introducing students to more advanced programming techniques. The simple programs developed in each chapter come together to form complete programs for different types of analysis
Notes 9.3.2 Equations of Motion
Print version record
Subject Machinery, Kinematics of.
Machinery, Dynamics of.
SCIENCE -- Mechanics -- General.
Acceleration Constraints.
Body Coordinate Formulation.
Body-Coordinates.
Closed-Chain Systems.
Exact Mass Distribution.
Force and Mass Distribution.
Force Elements.
Forward Dynamic Analysis.
Inverse Dynamic Analysis.
Joint Coordinate Formulation.
Joint Coordinate Method.
Kinematics.
MATLAB®.
Matrix differentiation.
Multibody dynamics.
Multipoint Representation.
matrices.
Newton's Laws of Motion.
Open-Chain Example Programs.
Point Coordinate Formulation.
Point-Coordinates.
planar multibody dynamics.
Reaction forces.
scalars.
Vector-Loop Method.
Velocity Constraints.
vectors.
Machinery, Dynamics of
Machinery, Kinematics of
Form Electronic book
ISBN 9781351601108
1351601105
9781351601115
1351601113
9781351601092
1351601091
9781315105437
1315105438