Impact Response of Flying Objects Modeled by Positional Finite Element Method

Abstract

This paper analyzes the dynamic response of space and plane trusses with geometrical and material nonlinear behaviors using different time integration algorithms, considering an alternative Finite Element Method (FEM) formulation called positional FEM. Each algorithm is distinguished from each other by its specific form of position, velocity, acceleration and equilibrium equation concerning the stability, consistency, accuracy and efficiency of solution. Particularly, the impact problems against rigid walls are analyzed considering Null-Penetration Condition. This formulation is based on the minimum potential energy theorem written according to the nodal positions, instead of the structural displacements. It has the advantage of simplicity when compared with the classical counterparts, since it does not necessarily reply on the corotational axes. Moreover, the performance of each temporal integration algorithm is evaluated by numerical simulations.

Influence of Retardation Time on Viscoelastic Behavior of Plane Beams Modeled by the Nonlinear Positional Formulation of the Finite Element Method

“…e use of such a formulation is justified by the capacity and simplicity of its application in the analysis of nonlinear problems as highlighted in Coda and Greco [17] and Greco and Coda [18]. For this reason, although relatively recent, the positional formulation has been the object of study of different researchers, as demonstrated in the works of Coda and Paccola [19], Maciel and Coda [20], Greco and Ferreira [21], de Oliveira and Greco [22], Sampaio et al [23], de Barros Cavalcante et al [24], Pascon and Coda [14], Carrazedo and Coda [25], Rabelo et al [15], and Ramos and Carrazedo [26].…”

Shear contribution on viscoelastic behavior of beams modeled using plane frame elements with Reissner kinematics

“…Besides the authors' familiarity with the aforementioned positional formulation of the Finite Element Method, one of the motivations for using it in the present paper is due to its simplicity and applicability in analyses of nonlinear problems as highlight by the precursory authors of the formulation (Coda and Greco, 2004;Maciel and Coda, 2008). For this reason, although relatively recent, the positional formulation has been the object of study by several researchers, as demonstrated in the works of Coda and Paccola (2007), Greco and Ferreira (2009), Oliveira and Greco (2014), Sampaio et al (2015), Cavalcante et al (2017), Pascon and Coda (2017), Carrazedo and Coda (2017), Rabelo et al (2018), Fernandes et al (2018), and Ramos and Carrazedo (2020).…”