Mechanical Vibration mini project

Mechanical Vibration mini project

The following figure shows an industrial mixer and the driving system (motor-shafts-gears) used to rotate the two mixing blades. (the shear modulus

of elasticity for the steel in all the shafts G=12*10^(6) Psi)

1. Use lagrange’s theorem to find the equations of motion

Determine the Kinetic Energy (T) of the system and deduce the mass matrix [ I ].

Determine the Potential Energy (V) of the system and deduce the stiffness matrix [ Kt ]

Determine the natural frequencies and the principal modes of vibration of the system by using any specific software (include the name of the software

and the printout of your program) (matlab is preferable)

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