A multi-scale approach for the optimum design of sandwich plates with honeycomb core. Part II: the optimisation strategy

Abstract

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. )>IJH=?JThis work deals with the problem of the optimum design of a sandwich panel. The design strategy that we propose is a numerical optimisation procedure that does not make any simplifying assumption to obtain a true global optimum conguration of the system. To face the design of the sandwich structure at both meso and macro scales, we use a two-level optimisation strategy: at the rst level we determine the optimal geometry of the unit cell of the core together with the material and geometric parameters of the laminated skins, while at the second level we determine the optimal skins lay-up giving the geometrical and material parameters issued from the rst level. The two-level strategy relies both on the use of the polar formalism for the description of the anisotropic behaviour of the laminates and on the use of a genetic algorithm as optimisation tool to perform the solution search. To prove its eectiveness, we apply our strategy to the least-weight design of a sandwich plate, satisfying several constraints: on the rst buckling load, on the positive-deniteness of the stiness tensor of the core, on the ratio between skins and core thickness and on the admissible moduli for the laminated skins.

Effective elastic properties of periodic hexagonal honeycombs

“…These equations can be employed for optimizing the geometrical parameters of honeycombs as well as minimum weight analysis of sandwich structures with honeycomb cores (e.g. see (Burton and Noor, 1997;Catapano and Montemurro, 2014b)). …”

A New Paradigm for the Optimum Design of Variable Angle Tow Laminates

“…In order to apply the MS2L numerical optimisation strategy presented in [5,25] to the case of VAT composites some major modications have been introduced. Regarding the rst-level problem these modications focus on:…”

“…The GA BIANCA was already successfully applied to solve dierent kinds of realworld engineering problems, see for example [5,25]. As shown in (11), the aim of the genetic calculation is to provide a potential sub-optimal point in the design space which constitutes the initial guess for the subsequent phase, i.e.…”

“…The authors and their co-workers already made use of the MS2L procedure for the design and optimisation of several classes of hybrid anisotropic structures in the past [4,5,6,17,18,19,20,25]. The MS2L design strategy employed in the previous works is a very general methodology for designing composites structures: it is characterised on the one hand by the refusal of the simplifying hypotheses and classical rules usually employed in the framework of the design process of laminates, and on the other hand by a proper and complete mathematical formalisation of the optimum design problem at each characteristic scale (micro-meso-macro).…”

Numerical study on thermal buckling of CFRP–Al honeycomb sandwich composites based on homogenization–localization analysis

“…A homogenization procedure in the framework of finite element analysis was also developed for facilitating the analysis of sandwich shells with composite faces [5]. Catapano and Montemurro [6] developed an optimization strategy for the design of sandwich panels. In the study, the equivalent properties of the hexagonal core were calculated through homogenization analysis based on the averaging scheme [7].…”