Showing eess.SYShow all
3 papers · 1 filter
eess.SY2026
Lie Group Variational Integrator for the Geometrically Exact Rod with Circular Cross-Section Incorporating Cross-Sectional Deformation
Srishti Siddharth, Vivek Natarajan, Ravi N. Banavar
In this paper, we derive the continuous space-time equations of motion of a three-dimensional geometrically exact rod, or the Cosserat rod, incorporating planar cross-sectional def…
eess.SY2025
On the convergence of a numerical scheme for a boundary controlled 1D linear parabolic PIDE
Soham Chatterjee, Vivek Natarajan
We consider an 1D partial integro-differential equation (PIDE) comprising of an 1D parabolic partial differential equation (PDE) and a nonlocal integral term. The control input is…
eess.SY2024
Flatness-based motion planning for a non-uniform moving cantilever Euler-Bernoulli beam with a tip-mass
Soham Chatterjee, Aman Batra, Vivek Natarajan
Consider a non-uniform Euler-Bernoulli beam with a tip-mass at one end and a cantilever joint at the other end. The cantilever joint is not fixed and can itself be moved along an a…