
Lecture Description
Finite element formulation for beams: Galerkins method, beams elemental mass and stiffness matrices, elemental force vector.
Course Index
- Overview of the Course, Practical and Research Trends
- Harmonic and Periodic Motions, Vibration Terminology
- Vibration Model, Equation of Motion-Natural Frequency
- Energy Method, Principle of Virtual Work
- Viscously Damped Free Vibration Special Cases: Oscillatory, non-Oscillatory and Critically Damped Motions
- Logarithmic Decrement Experimental Determination of Damping Coefficient Hystersis Loop
- Coulomb Damping other Damping Models
- Forced Harmonic Vibration, Magnification Factor
- Laplace Transform, Superposition Theorem
- Rotor Unbalance and Whirling of Shaft, Transmissibility
- Support Motion, Vibration Isolation
- Sharpness of Resonance, Vibration Measuring Instruments
- Generalized and Principle Coordinates, Derivation of Equation of Motion
- Lagranges's Equation
- Coordinate Coupling
- Forced Harmonic Vibration
- Tuned Absorber, Determination of Mass Ratio
- Tuned and Damped Absorber, Untuned Viscous Damper
- Derivation of Equations of Motion, Influence Coefficient Method
- Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem
- Modal Analysis: Undamped
- Modal Analysis: Damped
- Simple Systems With One Two or Three Discs Geared System
- Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System
- Derivation of Equations of Motion (Part I) and Hamilton's Principle
- Derivation of Equations of Motion (Part II) and Hamilton's Principle
- Vibration of Strings
- Longitudinal and Torsional Vibration of Rods
- Transverse Vibration of Beams, Equations of Motion and Boundary Conditions
- Transverse Vibration of Beams: Natural Frequencies and Mode Shapes
- Rayleigh's Energy Method
- Matrix Iteration Method
- Durkerley, Rayleigh-Ritz and Galerkin Method
- Finite Element Formulation for Rods, Gear Train and Branched System
- Finite Element Formulation for Beams
- Global Finite Element Assembly and Imposition of Boundary Conditions and Solution Procedure
- Vibration Testing Equipments: Signal Measurements
- Vibration Testing Equipments: Signal Analysis
- Field Balancing of Rotors
- Condition Monitoring
Course Description
In this course, Prof.Rajiv Tiwari gives 40 video lectures on Mechanical Vibrations.
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