There is a growing interest on the study of continuum parallel robots (CPRs) due to their higher stiffness and better dynamics capacities than serial (SCRs). Several works have focused computation geometrico- kinemato-static models that can be sorted into two main categories. Models based continuous Cosserat equations are very accurate but assessing elastic stability with them tricky, discretiz...

ABSTRACT This paper presents the theoretical developments of two finite strip methods (i.e. semi-analytical and full-analytical) for the post-buckling analysis of isotropic plates. In the semi-analytical finite strip approach, all the displacements are postulated by the appropriate shape functions while in the development process of the full-analytical approach, the Von-Karman’s equilibrium equ...

This document includes some mathematical notions I will assume. Most of these are taught in a discrete math class, and in any case are not complicated and easy to pick up. You can read it at your own pace — it will take a few weeks until we’ll get to use all of this stuff. You do not have to do the exercises, and in any case don’t need to submit them. If you feel you’d like more clarifications ...

This paper presents a new systematic algorithm to symbolically derive the full nonlinear dynamic equations of motion of multi-link flexible manipulators. Lagrange's-Assumed modes method is the basis of the new algorithm and adapted in a way suitable for symbolic manipulation by digital computers. It is aaplied to model a two-link fleXIble arm via a commercially available symbolic manipulation p...

The frequency-domain problem of water-wave propagation through a periodically arranged infinite array of structures is solved using the method of matched asymptotic expansions for both shallow and deep water; the structures are assumed to be small relative to the wave length and the array periodicity, and may be fixed or float freely. Explicit approximations to the frequencies of propagating mo...