An Orthogonal Collocation Method for Static and Dynamic Cosserat Rods
Radhouane Jilani,Pierre-Frédéric Villard,Erwan Kerrien,Radhouane Jilani,Pierre-Frédéric Villard,Erwan Kerrien
We propose an orthogonal collocation method (CM) for solving Cosserat rod Dirichlet-Neumann boundary value problems in static and dynamic modes. We interpolate the internal loading and collocate the strong form of the differential equations. The method uses Chebyshev polynomials in order to minimize Runge's phenomenon. The time derivatives are implicitly discretized using the backward differentiat...
