Identification and control of mechanical systems [E-Book] / Jer-Nan Juang, Minh Q. Phan.
Juang, Jer-Nan, (author)
Phan, Minh Q., (author)
Cambridge : Cambridge University Press, 2001
1 online resource (xv, 334 pages)
englisch
9780511547119
9780521031905
9780521783552
Full Text
Table of Contents:
  • Ordinary Differential Equations
  • Homogeneous ODE with Constant Coefficients
  • General Solution
  • Multiple Roots of [gamma superscript s]
  • [alpha] = 0
  • Determination of Coefficients
  • Nonhomogeneous ODE with Constant Coefficients
  • General Solution
  • Particular Solution
  • Coupled Ordinary Differential Equations
  • Elementary Matrix Algebra
  • Vectors and Matrices
  • Basic Matrix Operations
  • Special Matrices
  • Determinants and Matrix Inverse
  • Subspaces and Rank
  • Quadratic Form of a Matrix
  • Matrix Functions
  • Solving Linear Algebraic Equations
  • Eigenvalues and Eigenvectors
  • Diagonalization of a Matrix
  • Singular-Value Decomposition
  • Basic Equations
  • Some Areas of Application
  • Homogeneous First-Order Matrix Differential Equations
  • Matrix Exponential
  • Nonhomogeneous First-Order Matrix Differential Equations
  • Modeling Techniques
  • Newton's Three Fundamental Laws
  • D'Alembert's Principle
  • Principle of Virtual Work
  • Hamilton's Principle
  • Lagrange's Equations
  • Rayleigh's Dissipation Function
  • Constraint Equations
  • Gibbs
  • Appell Equations
  • Kane's Equations
  • Finite-Element Method
  • Uniform Beam Element
  • Interpolation Functions
  • Matrix Equation of Motion for an Element
  • Boundary Conditions
  • Element Assembly
  • Combined Matrix Equations of Motion
  • Constraint Equations
  • Assembled Matrix Equations of Motion
  • Truss Structures
  • Truss Element: Longitudinal Motion
  • Truss Element: Rigid-Body Motion
  • Coordinate Transformation
  • Energy Method for Element Assembly.