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The exhaustive list of topics in Mechanical Vibrations in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Mechanical Vibrations :
    • Harmonic and periodic motions.
    • Vibration terminology.
    • Vibration model.
    • Equation of motion-Natural Frequency.
    • Energy method.
    • Rayleigh method
    • Virtual work.
    • Damping models.
    • Viscously damped free vibration.
    • Special cases: oscillatory, non-oscillatory and critically damped motions.
    • Logarithmic decrement.
    • Experimental determination of damping coefficient.
    • Forced harmonic vibration.
    • Magnification factor.
    • Rotor unbalance.
    • Transmissibility.
    • Vibration Isolation.
    • Equivalent viscous damping.
    • Sharpness of resonance.
    • Generalized and Principal coordinates.
    • Derivation of equations of motion.
    • Lagrange’s equation.
    • Coordinate coupling.
    • Forced Harmonic vibration.
    • Tuned absorber.
    • Determination of mass ratio.
    • Tuned and damped absorber.
    • Unturned viscous damper.
    • Derivation of equations of motion.
    • Influence coefficient method.
    • Properties of vibrating systems: flexibility and stiffness matrices.
    • Reciprocity theorem.
    • Rayleigh method.
    • Stodala method.
    • Matrix iteration method.
    • Holzer method.
    • Dunkerley’s method.
    • Simple systems with one or two rotor masses.
    • Multi-DOF systems-transfer matrix method.
    • Geared system.
    • Branched system.
    • 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.
    • Rayleigh-Ritz method.
    • Finite element formulation for beams: Galerkin’s method.
    • Beams elemental mass and stiffness matrices.
    • Elemental force vector.
    • Global finite element assembly and imposition of boundary conditions and solution procedure.
    • Finite element formulation for rods.
    • Vibration testing equipments: signal generation, measuring and conditioning instruments.
    • Vibration testing equipments: signal analysis instruments.
    • Vibration signatures and standards.
    • Field balancing of rotors.