Advanced Dynamics Rigid Body, Multibody, and Aerospace Applications

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Advanced Dynamics Rigid Body, Multibody, and Aerospace Applications

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

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