Dynamic effects of rotatory inertia and shear deformation on flexible manipulators

This paper presents a comprehensive study on the influence of rotatory inertia, shear deformation, and tip load on the dynamic behaviors of one-link flexible manipulators. Two types of dynamic models, Euler-Bernoulli model with rotatory inertia and Timoshenko model, have been established and used in the analysis of modal frequencies and vibration modes. Explicit expressions of both step responses and transfer functions of flexible manipulators are obtained.