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Mechanical Engineering

Mechanical Vibration

Mechanical Vibration

01 Overview of the Course, Practical and Research Trends

02 Harmonic and Periodic Motions, Vibration Terminology

03 Vibration Model, Equation of Motion-Natural Frequency

04 Energy Method, Principle of Virtual Work

05 Viscously Damped Free Vibration Special Cases: Oscillatory, non-Oscillatory and critically damped motions

06 Logarithmic Decrement Experimental Determination of Damping Coefficient Hystersis Loop

07 Coulomb Damping other Damping Models

08 Forced Harmonic Vibration, Magnification Factor

09 Laplace Transform, Superposition Theorem

10 Rotor Unbalance and Whirling of Shaft, Transmissibility

11 Support Motion, Vibration Isolation

12 Sharpness of Resonance, Vibration Measuring Instruments

13 Generalized and Principle Coordinates, Derivation of Equation of Motion

14 Lagranges's Equation

15 Coordinate Coupling

16 Forced Harmonic Vibration

17 Tuned Absorber, Determination of Mass Ratio

18 Tuned and Damped Absorber, Untuned Viscous Damper

19 Derivation of Equations of Motion, Influence Coefficient Method

20 Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem

21 Modal Analysis: Undamped

22 Modal Analysis: Damped

23 Simple Systems With One Two or Three Discs Geared System

24 Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System

25 Derivation of equations of motion part- and Hamliton's Principle

26 Derivation of equations of motion part- and Hamliton's Principle

27 Vibration of Strings

28 Longitudinal and Torsional Vibration of Rods

29 Transverse Vibration of Beams, Equations of Motion and Boundary Conditions

30 Transverse Vibration of Beams: Natural Frequencies and Mode Shapes

31 Rayleigh's Energy Method

32 Matrix Iteration Method

33 Durkerley, Rayleigh-Ritz and Galerkin Method

34 Finite Element Formulation for Rods, Gear Train and Branched System

35 Finite element formulation for beams:Galerkins method, beams elemental mass and stiffness matrices, elemental force vector

36 Global finite element assembly and imposition of boundary conditions and solution procedure

37 Vibration Testing Equipments: Signal Measurements

38 Vibration Testing Equipments: Signal Analysis

39 Field Balancing of Rotors

40 Condition Monitoring

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