Mechanical Vibration mini project

Mechanical Vibration mini project Project description 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) Note: I will attach the figure when the order opens 1 Mechanical Vibrations Fall 2014 The following figure shows an industrial mixer and its driving system (motor~ r , ~ ‘ - I IL“. ht r MAS ‘. 1453-4“? A ’95; shafts-gears) used to rotate the two mixing blades. l 5 a". M 6 1‘ ' ’*‘**"fi; a} d%6+:C.-Lj 2»- JL- 51-3“ HA J M C k‘F‘tS 1< G '5 a? , V' r 1. Use Lagrange’s theorem to find the equations of motion of the above- P“ é: mentioned system. (fué/ mags, 2. Deduce the mass matrix [ l ]. y 3. Deduce the stiffness matrix [ Kt] " v 4. 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) V-""-“‘- 1 N PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET AN AMAZING DISCOUNT :)