Planar Multibody Dynamics Formulation, Programming, and Applications

ISBN-10: 1420045725
ISBN-13: 9781420045727
Edition: 2007
List price: $125.95
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Description: Planar Multibody Dynamics: Formulation, Programming, and Applications presents analytical concepts, computational issues, and programming techniques for analyzing mechanical systems. Using clear and accessible language, this book demonstrates how  More...

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Book details

List price: $125.95
Copyright year: 2007
Publisher: CRC Press LLC
Publication date: 11/1/2007
Binding: Hardcover
Pages: 464
Size: 6.50" wide x 9.50" long x 1.00" tall
Weight: 1.738
Language: English

Planar Multibody Dynamics: Formulation, Programming, and Applications presents analytical concepts, computational issues, and programming techniques for analyzing mechanical systems. Using clear and accessible language, this book demonstrates how simple methodologies can be applied to complex systems. It provides complete computer programs for analysis as well as Web access for updates. Detailed discussions address numerical and computational issues. The author uses MATLAB throughout the text, from the fundamentals aspects to more advanced features. The combination of analytical principles and application examples makes this book a unique resource for students and practicing engineers.

Preface
Author
Introduction
Multibody Mechanical Systems
Types of Analyses
Methods of Formulation
Computer Programming
Matlab
Application Examples
Double A-Arm Suspension
MacPherson Strut Suspension
Film-Advancer Mechanism
Web-Cutter
Variable-Length Pendulum
Unit System
Remarks
Preliminaries
Reference Axes
Scalars and Vectors
Arrays
Matrices
Matrix Operations
Vector, Array, and Matrix Differentiation
Time Derivatives
Partial Derivatives
Equations and Expressions
Compact and Expanded Forms
Remarks
Problems
Fundamentals of Kinematics
A Particle
Kinematics of a Particle
Kinematics of a Rigid Body
Coordinates of a Body
Velocity of a Body
Acceleration of a Body
Definitions
Array of Coordinates
Degrees of Freedom
Constraint Equations
Kinematic Joints
Remarks
Problems
Fundamentals of Dynamics
Newton's Laws of Motion
Dynamics of a Particle
Dynamics of a System of Particles
Dynamics of a Body
Moment of a Force
Centroidal Equations of Motion
Noncentroidal Equations of Motion
Force Elements
Applied Forces
Gravitational Force
Point-to-Point Actuator
Point-to-Point Spring
Point-to-Point Damper
Combined Elements
Rotational Elements
Viscous Friction
Reaction Force
Newton's Third Law
Method of Lagrange Multipliers
Coulomb Friction
Remarks
Problems
Point-Coordinates: Kinematics
Multipoint Representation
Double A-Arm Suspension
MacPherson Suspension
Filmstrip Advancer
Stationary and Primary Points
Constraints
Length Constraint
Angle Constraints
Simple Constraints
Velocity and Acceleration Constraints
Secondary Points
Example Programs
Double A-Arm Suspension
MacPherson Suspension
Filmstrip Advancer
Remarks
Problems
Point-Coordinates: Dynamics
System of Unconstrained Particles
A Two-Particle System
Unconstrained Particles-General
System of Constrained Particles
A Two-Particle System
MacPherson Suspension
Constrained Particles-General
Force and Mass Distribution
Two Primary Points
Three Primary Points
Mass Collection
Double A-Arm Suspension
Exact Mass Distribution
Two Primary Points
Three Primary Points
Mass Addition
Remarks
Problems
Body-Coordinates: Kinematics
General Procedure
Kinematic Joints
Revolute (Pin) Joint
Translational (Sliding) Joint
Revolute-Revolute Joint
Revolute-Translational Joint
Rigid Joint
Simple Constraints
Examples
Double A-Arm Suspension
MacPherson Suspension
Filmstrip Advancer
Velocity and Acceleration Constraints
Revolute Joint
Translational Joint
Revolute-Revolute Joint
Revolute-Translational Joint
Simple Constraints
System Jacobian
Programming Note
Common Scripts
Example Programs
Double A-Arm Suspension
MacPherson Suspension
Filmstrip Advancer
Variable-Length Pendulum
Other Types of Joints
Remarks
Problems
Body-Coordinates: Dynamics
System of Unconstrained Bodies
A Two-Body System
Unconstrained Bodies-General
System of Constrained Bodies
Constrained Bodies-General
A Two-Body System
Reaction Forces
Example Programs
Double A-Arm Suspension
MacPherson Suspension
Variable-Length Pendulum
Remarks
Problems
Joint-Coordinates: Kinematics
Vector-Loop Method
Joint Coordinate Method
Open-Chain Systems
Variable-Length Pendulum
A Three-Body System
A Floating System
General Formulation
Open-Chain Example Programs
Variable-Length Pendulum
Closed-Chain Systems
Slider-Crank Mechanism
General Formulation
Closed-Chain Example Programs
Double A-Arm Suspension
MacPherson Suspension
Filmstrip Advancer
Remarks
Problems
Joint-Coordinates: Dynamics
Open-Chain Systems
Variable-Length Pendulum
Open-Chain Example Program
Closed-Chain Systems
Closed-Chain Example Programs
Double A-Arm Suspension
MacPherson Suspension
Remarks
Problems
Kinematic Analysis
Unconstrained Formulation
Constrained Formulation
Driver Constraints
Solution Procedures
Coordinate Partitioning Method
Appended Constraint Method
Linear Algebraic Equations
Nonlinear Algebraic Equations
Newton-Raphson Method for One Equation in One Unknown
Newton-Raphson Method for n Equations in n Unknowns
Body Coordinate Formulation
Filmstrip Advancer
Web-Cutter
Point Coordinate Formulation
Filmstrip Advancer
Joint Coordinate Advancer
Filmstrip Advancer
Remarks
Problems
Inverse Dynamic Analysis
Unconstrained Formulation
General Procedure
Constrained Formulation
General Procedure
Different Jacobian Matrices
Body Coordinate Formulation
Filmstrip Advancer
Web-Cutter
Point Coordinate Formulation
Filmstrip Advancer
Joint Coordinate Formulation
Remarks
Problems
Forward Dynamic Analysis
Unconstrained Formulation
Initial-Value Problems
Runge-Kutta Algorithms
Variable Step Size
General Procedure
Constrained Formulation
Initial Conditions
General Procedure
Body Coordinate Formulation
Double A-Arm Suspension
Joint Coordinate Formulation
Variable-Length Pendulum
Point Coordinate Formulation
Constraint Violation
Constraint Violation Stabilization Method
Coordinate Partitioning Method
Remarks
Problems
Complementary Analyses
Static Analysis
Static Equilibrium
Initial Condition Correction
Body-Coordinate Formulation
Three Combined Analyses by Integration
Redundant Constraints
Friction
Deformable Body
Remarks
Problems
Projects
Windshield Wiper Mechanism
Internal Combustion Engine
Sled Test and Belted Dummy
Head and Neck
Mountain Bike
Motorcycle
Elliptical Exercise Machine
Swing
Mass Center and Moment of Inertia
References
Index

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