Pipe route optimization to avoid undesired vibration by using JuliaFEM

Abstract

An optimization routine was applied to high pressure fuel pipes to avoid resonance in a heavily vibrating environment. The optimization process and also the natural frequency calculations in every iteration were completely performed with the high-level programming language Julia; the optimization process was performed with the JuMP optimization environment, and the frequencies where calculated with JuliaFEM finite element method solver platform. The benefit of this kind of embedded implementation is a quick response which yields a pleasant development environment to focus on the essential-the choice of the optimization strategy.

JuliaFEM beam element implementation

“…Similar comparison of JuliaFEM natural frequency solver with continuum elements is done by Rapo et al [4], where the model also had contacts, see Aho [5]. A more complicated use case, where beam elements are used in the optimization loop to find the fuel pipe route that minimizes the given cost function, is presented by Rapo et al [6]. JuliaFEM also has preliminary support for shells, see Niemi et al [7].…”

The MFrontGenericInterfaceSupport project

“…JuliaFEM (Aho et al, 2019a(Aho et al, , 2019bRapo, Aho, & Frondelius, 2017;Rapo, Aho, Koivurova, & Frondelius, 2018;Rapo et al, 2019) is an open-source finite element solver written in the Julia programming language (Bezanson, Edelman, Karpinski, & Shah, 2017). JuliaFEM enables flexible simulation models, takes advantage of the scripting language interface, which is easy to learn and embrace.…”