PDF Free Download | Advanced Dynamics Rigid Body, Multibody, and Aerospace Applications by Reza N. Jazar
Contents of Advanced Dynamics eBook
- Part I Fundamentals
- Fundamentals of Kinematics
- Coordinate Frame and Position Vector
- Triad
- Coordinate Frame and Position Vector
- Vector Definition
- Vector Algebra
- Vector Addition
- Vector Multiplication
- Index Notation
- Orthogonal Coordinate Frames
- Orthogonality Condition
- Unit Vector
- Direction of Unit Vectors
- Differential Geometry
- Space Curve
- Surface and Plane
- Motion Path Kinematics
- Vector Function and Derivative
- Velocity and Acceleration
- Natural Coordinate Frame
- Fields
- Surface and Orthogonal Mesh
- Scalar Field and Derivative
- Vector Field and Derivative
- Key Symbols
- Exercises
- Fundamentals of Dynamics
- Laws of Motion
- Equation of Motion
- Force and Moment
- Motion Equation
- Special Solutions
- Force Is a Function of Time, F = F (t)
- Force Is a Function of Position, F = F (x)
- Elliptic Functions
- Force Is a Function of Velocity, F = F (v)
- Spatial and Temporal Integrals
- Spatial Integral: Work and Energy
- Temporal Integral: Impulse and Momentum
- Application of Dynamics
- Modeling
- Equations of Motion
- Dynamic Behavior and Methods of Solution
- Parameter Adjustment
- Key Symbols
- Exercises
- Part II Geometric Kinematics
- Coordinate Systems
- Cartesian Coordinate System
- Cylindrical Coordinate System
- Spherical Coordinate System
- Nonorthogonal Coordinate Frames
- Reciprocal Base Vectors
- Reciprocal Coordinate Frame
- Inner and Outer Vector Product
- Kinematics in Oblique Coordinate Frames
- Curvilinear Coordinate System
- Principal and Reciprocal Base Vectors
- Principal–Reciprocal Transformation
- Curvilinear Geometry
- Curvilinear Kinematics
- Kinematics in Curvilinear Coordinates
- Key Symbols
- Exercises
- Rotation Kinematics
- Rotation About Global Cartesian Axes
- Successive Rotations About Global Axes
- Global Roll–Pitch–Yaw Angles
- Rotation About Local Cartesian Axes
- Successive Rotations About Local Axes
- Euler Angles
- Local Roll–Pitch–Yaw Angles
- Local versus Global Rotation
- General Rotation
- Active and Passive Rotations
- Rotation of Rotated Body
- Key Symbols
- Exercises
- Orientation Kinematics
- Axis–Angle Rotation
- Euler Parameters
- Quaternion
- Spinors and Rotators
- Problems in Representing Rotations
- Rotation Matrix
- Axis–Angle
- Euler Angles
- Quaternion and Euler Parameters
- Composition and Decomposition of Rotations
- Composition of Rotations
- Decomposition of Rotations
- Key Symbols
- Exercises
- Motion Kinematics
- Rigid-Body Motion
- Homogeneous Transformation
- Inverse and Reverse Homogeneous Transformation
- Compound Homogeneous Transformation
- Screw Motion
- Inverse Screw
- Compound Screw Transformation
- Plucker Line Coordinate ¨
- Geometry of Plane and Line
- Moment
- Angle and Distance
- Plane and Line
- Screw and Plucker Coordinate
- Key Symbols
- Exercises
- Multibody Kinematics
- Multibody Connection
- Denavit–Hartenberg Rule
- Forward Kinematics
- Assembling Kinematics
- Order-Free Rotation
- Order-Free Transformation
- Forward Kinematics by Screw
- Caster Theory in Vehicles
- Inverse Kinematics
- Key Symbols
- Exercises
- Part III Derivative Kinematics
- Velocity Kinematics
- Angular Velocity
- Time Derivative and Coordinate Frames
- Multibody Velocity
- Velocity Transformation Matrix
- Derivative of a Homogeneous Transformation Matrix
- Multibody Velocity
- Forward-Velocity Kinematics
- Jacobian-Generating Vector
- Inverse-Velocity Kinematics
- Key Symbols
- Exercises
- Acceleration Kinematics
- Angular Acceleration
- Second Derivative and Coordinate Frames
- Multibody Acceleration
- Particle Acceleration
- Mixed Double Derivative
- Acceleration Transformation Matrix
- Forward-Acceleration Kinematics
- Inverse-Acceleration Kinematics
- Key Symbols
- Exercises
- Constraints
- Homogeneity and Isotropy
- Describing Space
- Configuration Space
- Event Space
- State Space
- State–Time Space
- Kinematic Spaces
- Holonomic Constraint
- Generalized Coordinate
- Constraint Force
- Virtual and Actual Works
- Nonholonomic Constraint
- Nonintegrable Constraint
- Inequality Constraint
- Differential Constraint
- Generalized Mechanics
- Integral of Motion
- Methods of Dynamics
- Lagrange Method
- Gauss Method
- Hamilton Method
- Gibbs–Appell Method
- Kane Method
- Nielsen Method
- Key Symbols
- Exercises
- Part IV Dynamics
- Rigid Body and Mass Moment
- Rigid Body
- Elements of the Mass Moment Matrix
- Transformation of Mass Moment Matrix
- Principal Mass Moments
- Key Symbols
- Exercises
- Rigid-Body Dynamics
- Rigid-Body Rotational Cartesian Dynamics
- Rigid-Body Rotational Eulerian Dynamics
- Rigid-Body Translational Dynamics
- Classical Problems of Rigid Bodies
- Torque-Free Motion
- Spherical Torque-Free Rigid Body
- Axisymmetric Torque-Free Rigid Body
- Asymmetric Torque-Free Rigid Body
- General Motion
- Multibody Dynamics
- Recursive Multibody Dynamics
- Key Symbols
- Exercises
- Lagrange Dynamics
- Lagrange Form of Newton Equations
- Lagrange Equation and Potential Force
- Variational Dynamics
- Hamilton Principle
- Lagrange Equation and Constraints
- Conservation Laws
- Conservation of Energy
- Conservation of Momentum
- Generalized Coordinate System
- Multibody Lagrangian Dynamics
- Key Symbols
- Exercises
