Axial and Torsional Vibrations

This course covers the comprehensive understanding of axial and torsional vibrations. It begins with the fundamental concept of axial vibration of bars, explaining the derivation of the equation of motion using Newton's Second Law and the energy principle. The course further delves into model analysis, discussing the process of finding natural frequencies and mode shapes. It also covers the concept of torsional vibration of a bar, focusing on the derivation of governing differential equations and the formulation of force vibration problems considering damping. The course also provides insights into the principal modes of vibrations in real structures and the effects of torsion. It concludes with practical applications of these concepts in solving problems related to machine components and structures.