Identification and control of mechanical systems / Jer-Nan Juang, Minh Q. Phan.
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge, England ; New York :
Cambridge University Press,
2001.
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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.