27 research outputs found

    Traceable reference full metrology chain for innovative aspheric and freeform optical surfaces accurate at the nanometer level

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    The design of innovative reference aspheric and freeform optical elements was investigated with the aim of calibration and verification of ultra-high accurate measurement systems. The verification is dedicated to form error analysis of aspherical and freeform optical surfaces based on minimum zone fitting. Two thermo-invariant material measures were designed, manufactured using a magnetorheological finishing process and selected for the evaluation of a number of ultra-high-precision measurement machines. All collected data sets were analysed using the implemented robust reference minimum zone (Hybrid Trust Region) fitting algorithm to extract the values of form error. Agreement among the results of several partners was observed, which demonstrates the establishment of a traceable reference full metrology chain for aspherical and freeform optical surfaces with small amplitudes

    Optimisation robuste multi-niveaux et multi-objectif de structures mécaniques complexes

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    Cet article présente une nouvelle approche d’optimisation multi-objectifs robuste, et multi-niveaux, pour la conception des structures mécaniques complexes. Cette optimisation est à deux niveaux : système et élément. Le problème multi-objectifs robuste, au niveau système, à résoudre est à quatre fonctions coût : d’une part la minimisation de la masse globale et le déplacement en un point fixé de la structure mécanique étudiée, d’autre part la maximisation des robustesses respectivement de la masse et du déplacement alors que le problème multi-objectifs robuste au niveau élément est à deux fonctions coût : la minimisation de la masse de l’élément et la maximisation de sa robustesse. Contrairement aux formulations existantes, cette nouvelle approche tient compte des incertitudes sur les paramètres de conception tant au niveau système qu’au niveau élément. De plus, elle répond au partage des tâches pratiqué dans l’industrie

    Composite beam identification using a variant of the inhomogeneous wave correlation method in presence of uncertainties

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    International audiencePurpose: This paper aims to propose numerical-based and experiment-based identification processes, accounting for uncertainties to identify structural parameters, in a wave propagation framework.Design/methodology/approach: A variant of the inhomogeneous wave correlation (IWC) method is proposed. It consists on identifying the propagation parameters, such as the wavenumber and the wave attenuation, from the frequency response functions. The latters can be computed numerically or experimentally. The identification process is thus called numerical-based or experiment-based, respectively. The proposed variant of the IWC method is then combined with the Latin hypercube sampling method for uncertainty propagation. Stochastic processes are consequently proposed allowing more realistic identification.Findings: The proposed variant of the IWC method permits to identify accurately the propagation parameters of isotropic and composite beams, whatever the type of the identification process in which it is included: numerical-based or experiment-based. Its efficiency is proved with respect to an analytical model and the Mc Daniel method, considered as reference. The application of the stochastic identification processes shows good agreement between simulation and experiment-based results and that all identified parameters are affected by uncertainties, except damping.Originality/value: The proposed variant of the IWC method is an accurate alternative for structural identification on wide frequency ranges. Numerical-based identification process can reduce experiments’ cost without significant loss of accuracy. Statistical investigations of the randomness of identified parameters illustrate the robustness of identification against uncertainties

    Multi-modal vibration energy harvesting approach based on nonlinear oscillator arrays under magnetic levitation

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    International audienceWe propose a multi-modal vibration energy harvesting approach based on arrays of coupled levitated magnets. The equations of motion which include the magnetic nonlinearity and the electromagnetic damping are solved using the harmonic balance method coupled with the asymptotic numerical method. A multi-objective optimization procedure is introduced and performed using a non-dominated sorting genetic algorithm for the cases of small magnet arrays in order to select the optimal solutions in term of performances by bringing the eigenmodes close to each other in terms of frequencies and amplitudes. Thanks to the nonlinear coupling and the modal interactions even for only three coupled magnets, the proposed method enable harvesting the vibration energy in the operating frequency range of 4.6–14.5 Hz, with a bandwidth of 190% and a normalized power of 20.2 mW cm-3 g-2
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