Les transducteurs ultrasonores capacitifs micro-usinés sont aujourd'hui une nouvelle alternative à la transduction d'ondes ultrasonores. En comparaison avec la technologie piézo-électrique, ils offrent des potentialités en termes de production, de miniaturisation et d'intégration d'une électronique associée mais aussi en termes de performances. Néanmoins,leur mise en œuvre n'en est encore qu'à ces balbutiements et la compréhension de leurs comportements nécessite d'être approfondie. C'est dans ce cadre que s'inscrit le présent travail de thèse. Nous proposons, dans un premier temps, à l'aide d'un modèle numérique basé sur une mécanique linéaire de plaques multicouches, d'étudier l'effet des contraintes initiales sur le comportement statique. Dans un second temps, l'impact de la non-linéarité de la dynamique d'une cellule, puis d'un réseau de cellules, est étudiée en s'appuyant à la fois sur des mesures d'interférométrie et sur un modèle temporel intégrant les effets du fluide. Enfin, nous proposons une optimisation de l'excitation et l'utilisation de ces dispositifs en régime forcée pour la génération d'onde basse fréquence dans l'air et dans l'eau. / Capacitive tvIicromachined Ultrasound Transducers (cMUTs) are today a new alternative for the generation of ultrasonic waves. Compared lo the piezoelectric technology, theyoffer some potentialities in terms of reliability, production, miniaturization and electronicintegration but also in term of acoustic performance. Nevertheless, their implementationis relatively new and the understanding of their static and dynamic behaviors needs to bestudied further. This is in this context that this PhD is developed. We propose, in a firsttime, with the help of a numeric model based on the linear mechanic theory of multilayeredplates, to study the impact of initial stresses on the static behavior. In a second time, the impact of the nonlinearity on the dynamic of the cell first, and a cell array next, is studiedwith the help of a temporal model and measurements made by laser interferometry both.Finally, thanks to this dynamic study, a new operation mode of cMUTs is identified andverified. This one is based on the use of forced regime in air and water of these device togenerate low frequencies ultrasonic waves.

Smart structure control systems commonly use piezoceramic sensors or accelerometers as vibration measurement devices. These measurement devices often produce noisy and/or low-precision signals, which makes it difficult to measure small-amplitude vibrations. Laser interferometry devices pose as an alternative high-precision position measurement method, capable of nanometer-scale resolution. The aim of this research is to utilize a model-based design approach to develop and implement a real-time Linear Quadratic Gaussian (LQG) regulator for a piezoelectric actuated smart structure using a high-precision laser interferometry measurement system to suppress the excitation of vibratory modes. The analytical model of the smart structure is derived using the extended Hamilton Principle and Euler-Bernoulli beam theory, and the equations of motion for the system are constructed using the assumed-modes method. The analytical model is organized in state-space form, in which the effects of a low-pass filter and sampling of the digital control system are also accounted for. The analytical model is subsequently validated against a finite-element model in Abaqus, a lumped parameter model in Simscape Multibody, and experimental modal analysis using the physical system. A discrete-time proportional-derivative (PD) controller is designed in a heuristic fashion to serve as a baseline performance criterion for the LQG regulator. The Kalman Filter observer and Linear Quadratic Regulator (LQR) components of the LQG regulator are also derived from the state-space model. It is found that the behavior of the analytical model closely matches that of the physical system, and the performance of the LQG regulator exceeds that of the PD controller. The LQG regulator demonstrated quality estimation of the state variables of the system and further constitutes an exceptional closed-loop control system for active vibration control and disturbance rejection of the smart structure.

Ultraprecision single point diamond turning is required to produce parts with sub-nanometer surface roughness and sub-micrometer surface profiles tolerances. These parts have applications in the optics industry, where tight form accuracy is required while achieving high surface finish quality. Generally, parts can be polished to achieve the desired finish, but then the form accuracy can easily be lost in the process rendering the part unusable. Currently, most mid to low spatial frequency surface finish errors are inspected offline. This is done by physically removing the workpiece from the machining fixture and mounting the part in a laser interferometer. This action introduces errors in itself through minute differences in the support conditions of the over constrained part on a machine as compared to the mounting conditions used for part measurement. Once removed, the fixture induced stresses and the part’s internal residual stresses relax and change the shape of the generally thin parts machined in these applications. Thereby, the offline inspection provides an erroneous description of the performance of the machine. This research explores the use of a single, high resolution, capacitance sensor to quickly and qualitatively measure the low to mid spatial frequencies on the workpiece surface, while it is mounted in a fixture on a standard ultraprecision single point diamond turning machine after a standard facing operation. Following initial testing, a strong qualitative correlation exists between the surface profiling on a standard offline system and this online measuring system. Despite environmental effects and the effects of the machine on the measurement system, the capacitive system with some modifications and awareness of its measurement method is a viable option for measuring mid to low spatial frequencies on a workpiece surface mounted on an ultraprecision machine with a resolution of 1nm with an error band of ±5nm with a 20kHz bandwidth. / Thesis / Master of Applied Science (MASc)