Premium
Modeling planar pantographic sheets using a nonlinear Euler–Bernoulli beam element based on B‐spline functions
Author(s) -
Capobianco Giuseppe,
Eugster Simon R.,
Winandy Tom
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800220
Subject(s) - finite element method , discretization , bernoulli's principle , nonlinear system , planar , spline (mechanical) , euler's formula , lattice (music) , mathematics , b spline , mathematical analysis , structural engineering , physics , computer science , engineering , acoustics , computer graphics (images) , quantum mechanics , thermodynamics
Abstract An undeformed pantographic sheet consists of two orthogonal arrays of straight fibers interconnected by internal pins. In this paper, we model the fibers of this lattice‐like sheet as nonlinear Euler–Bernoulli beams and use B‐spline functions for their finite element discretization. Using the concept of one‐dimensional generalized force laws, we show how different models for the pins can be introduced in the model. Finally, the simulation of a tensile test is presented.