Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
Exact curvature computation of large displacements of beams
Submission Author:
Amanda Picão Perroni , SP
Co-Authors:
Amanda Picão Perroni, Reyolando Brasil
Presenter: Amanda Picão Perroni
doi://10.26678/ABCM.MECSOL2019.MSL19-0005
Abstract
The use of highly flexible wings can lead to future long-range, fuel-efficient airplanes. This type of aircrafts is known as HALE (High-Altitude Long-Endurance), whose wings are known to undergo large flexural displacements, due to their relatively small stiffness. As it is important to evaluate these wings deformed shapes, we present a simple numerical solution by direct Runge-Kutta integration of the exact Euler-Bernoulli differential equation of the Elastica, implemented using ode45 function of MatLab. The model is a horizontal cantilever prismatic beam made of isotropic uniform linear elastic material. An excellent agreement with large-scale Finite Element models was obtained, with considerably lower computational cost, indicating a possible alternative numerical approach.
Keywords
HALE aircraft, Euler-Bernoulli elastica, Runge-Kutta, Finite Element Model
