Mechanical - Mechanical Vibrations (English)

   Saturday, February 15, 2025   

Starting a new Lecture Notes Series on Mechanical - Mechanical Vibrations

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Mechanical - Mechanical Vibrations By Lecture Notes together!

Lecture 1: Mod-1 Lec-1 Overview of the Course, Practical and Research Trends

Lecture 2: Mod-1 Lec-2 Harmonic and Periodic Motions, Vibration Terminology

Lecture 3: Mod-2 Lec-1 Vibration Model, Equation of Motion-Natural Frequency

Lecture 4: Mod-2 Lec-2 Energy Method, Principle of Virtual Work

Lecture 5: Mod-3 Lec-1 Viscously Damped Free Vibration Special Cases: Oscillatory

Lecture 6: Mod-3 Lec-2 Logarithmic Decrement Experimental Determination of Damping Coefficient Hysteresis Loop

Lecture 7: Mod-3 Lec-3 Coulomb Damping other Damping Models

Lecture 8: Mod-4 Lec-1 Forced Harmonic Vibration, Magnification Factor

Lecture 9: Mod-4 Lec-2 Laplace Transform, Superposition Theorem

Lecture 10: Mod-4 Lec-3 Rotor Unbalance and Whirling of Shaft, Transmissibility

Lecture 11: Mod-4 Lec-4 Support Motion, Vibration Isolation

Lecture 12: Mod-4 Lec-5 Sharpness of Resonance, Vibration Measuring Instruments

Lecture 13: Mod-5 Lec-1 Generalized and Principle Coordinates, Derivation of Equation of Motion

Lecture 14: Mod-5 Lec-2 Lagranges's Equation

Lecture 15: Mod-5 Lec-3 Coordinate Coupling

Lecture 16: Mod-5 Lec-4 Forced Harmonic Vibration

Lecture 17: Mod-6 Lec-1 Tuned Absorber, Determination of Mass Ratio

Lecture 18: Mod-6 Lec-2 Tuned and Damped Absorber, Untuned Viscous Damper

Lecture 19: Mod-7 Lec-1 Derivation of Equations of Motion, Influence Coefficient Method

Lecture 20: Mod-7 Lec-2 Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem

Lecture 21: Mod-7 Lec-3 Modal Analysis: Undamped

Lecture 22: Mod-7 Lec-4 Modal Analysis: Damped

Lecture 23: Mod-8 Lec-1 Simple Systems With One Two or Three Discs Geared System

Lecture 24: Mod-8 Lec-2 Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System

Lecture 25: Mod-9 Lec-1 Derivation of Equations of Motion Part 1-Newton's and Hamilton's Principle

Lecture 26: Mod-9 Lec-2 Derivation of Equations of Motion Part 2-Newton's and Hamilton's Principle

Lecture 27: Mod-9 Lec-3 Vibration of Strings

Lecture 28: Mod-9 Lec-4 Longitudinal and Torsional Vibration of Rods

Lecture 29: Mod-9 Lec-5 Transverse Vibration of Beams, Equations of Motion and Boundary Conditions

Lecture 30: Mod-9 Lec-6 Transverse Vibration of Beams: Natural Frequencies and Mode Shapes

Lecture 31: Mod-10 Lec-1 Rayleigh's Energy Method

Lecture 32: Mod-10 Lec-2 Matrix Iteration Method

Lecture 33: Mod-10 Lec-3 Durkerley, Rayleigh-Ritz and Galerkin Method

Lecture 34: Mod-11 Lec-1 Finite Element Formulation for Rods, Gear Train and Branched System

Lecture 35: Mod-11 Lec-2 Finite Element Formulation for Beams: Galerkin's Method

Lecture 36: Mod-11 Lec-3 Global Finite Element Assembly and Imposition of Boundary Conditions

Lecture 37: Mod-12 Lec-1 Vibration Testing Equipments: Signal Measurements

Lecture 38: Mod-12 Lec-2 Vibration Testing Equipments: Signal Analysis

Lecture 39: Mod-12 Lec-3 Field Balancing of Rotors

Lecture 40: Mod-12 Lec-4 Condition Monitoring