ApL306
| ApL306 | |
|---|---|
| Vibrations | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | APL104 O |
| Overlaps | CVL759, MCL733 |
ApL306 : Vibrations
[edit]Axioms, Euler angles, equations of motion, kinematics and dynamics of constrained rigid bodies. Free vibration response of single-degree-of-freedom (SDOF) systems, undamped and damped vibration. Forced response of SDOF system, response to periodic excitation, impulse response, response to arbitrary excitation, convolution integral, and shock spectrum. Two degrees-of-freedom systems, orthogonality of modes, harmonic response, vibration absorbers. Multi-degrees-of-freedom (MDOF) systems, modal analysis. Continuous systems, axial vibration of rods, bending vibration of beams torsional vibration of rods, Rayleigh-Ritz method, symmetric and antisymmetric modes. Time domain and frequency domain analyses. Numerical methods-extraction of eigenvalues and eigenvectors, time integration techniques.