Sensitivity Analysis of the FFR ALI3-P Flexible Multibody Formulation

EasyChair Preprint 13334

Abstract

Sensitivity analysis is an extremely useful tool in optimization problems or optimal design, but its calculation is usually complex and requires a high computational effort. Among the techniques available to compute the sensitivity analysis of a set of equations, analytical sensitivities have proven to be among the most computationally efficient and accurate. This work explores the sensitivity analysis of a natural coordinate FFR formulation with constraints enforced by means of an Augmented Lagrangian Index-3 formulation with velocity and acceleration projections (FFR-ALI3-P). The sensitivities have been validated against numerical differentiation in several benchmark problems, including a vehicle model that accounts for the elastic deformation of the chassis.

Keyphrases: ALI3-P, FFR, Flexibile Multibody Systems, Floating frame of reference, sensitivity analysis, vehicle

@booklet{EasyChair:13334,
  author    = {Álvaro López Varela and Alberto Luaces and Juan Carlos García Orden and Daniel Dopico Dopico},
  title     = {Sensitivity Analysis of the FFR ALI3-P Flexible Multibody Formulation},
  howpublished = {EasyChair Preprint 13334},
  year      = {EasyChair, 2024}}