Dynamics of Structure
- Specifications of a Continuous Dynamic Systems-Discretization of a continus system-Equations of Motions-Dalambert principle of force- Principle of virtual work -Hamiltonsprinciple functions
- Generalized parameters :Mass-Stiffness and Damping -Rayleigh method for natural frequency analysis
- Free vibration of a system with one degree of freedom
- Forced vibration of a system with one degree of freedom under harmonic loads
- response to any periodic loads-Fourier series applications- Fourier series in exponential form-Complex frequency response function
- Time domain method : response to impulse load-response spectra-response to the general dynamic load- -Duhamel Integral -Convolution Integral-numerical method
- Frequency domain method: Fourier transformation Pair-Discrete Fourier transformation - Fast Fourier Transformation
- response analysis of non-linear structures-Incremental equation of motion - step by step integration
- Vibration Analysis by Rayleigh Method
- Multi-degrees of freedom systems - Equation of equilibrium for Multi-degrees systems - definition of stiffness matrix mass matrix damping matrix -Finite element
Method Analysis for classical beam
- MODAL ANALYSIS : Orthogonality conditions - Normal coordinates - non-coupled equations of equilibrium - analysis of damping matrix with orthogonality conditions
- Analaysis of vibration modes for multi degrees of freedom systems : Stodola method- Holzer method - Rayleigh method - Subspace method - Spectral decomposition method - Jacobi method - Shift
- overview of finite element method for structural dynamic analysis
- Analysis of first order time dependent linear and non-linear equations Euler Explicite Method - euler implicit method - euler semi explicit method - Prediction and correction method - explicit rung-Kutta method- modal method
- Analysis of second order time dependent linear and non-linear equations
Central finite Difference method- Houbolt method - Newmarks and Wilsons Method - Wilsonss Method - Explicite Rung-kutta scheme
- special topics in structural dynamics - modal coupling - modal updating - modal test