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.