ApL306: Difference between revisions
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| credits = 3 | | credits = 3 | ||
| credit_structure = 3-0-0 | | credit_structure = 3-0-0 | ||
| pre_requisites = APL104 O | | pre_requisites = [[APL104]] O | ||
| overlaps = CVL759, MCL733 | | overlaps = [[CVL759]], [[MCL733]] | ||
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== ApL306 : Vibrations == | == ApL306 : Vibrations == | ||
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. | 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. | ||
Latest revision as of 16:22, 14 April 2026
| ApL306 | |
|---|---|
| Vibrations | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | APL104 O |
| Overlaps | CVL759, MCL733 |
ApL306 : Vibrations
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.