Analytical study of torsional vibration effect on turning shafts in sudden stop case

Abstract EN

The sudden stop of rotating shafts for any external & arbitrary reason due to develop of circumference distortions because of dynamic angular displacement and by dividing on static angular displacement produce ratio called ( SSRSR ) to undesired elevations .

The response according to " Bernoli-Euler " theory in undamped torsional vibration , one dimension bars and homogenous , continuous material of bars , hence ,derived response for time & pointed position (furrier functions ) , the result depend on shaft engineering directory and modulus rigidity of shaft material & which is get convergence for theory and practical results.