Thèse doctorat : Mécanique : Villeurbanne, INSA : 2003. / Titre provenant de l'écran-titre. Bibliogr. p. 103-105.

Thèse de doctorat : sciences. Mécanique : Ecully, Ecole centrale de Lyon : 2002. / Titre provenant de l'écran-titre. 103 réf.

Thesis (M.S.)--University of Hawaii at Manoa, 2004. / Includes bibliographical references (leaves 48-51).

Thesis (M.A.P.S.)--Catholic Theological Union at Chicago, 2002. / Vita. Includes bibliographical references.

Thesis (Ph. D.)--University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 212-219). Available also in a digital version from Dissertation Abstracts.

A ”Haptic servo system” is here understood as a servo system whereforces from a controlled system are fed back to an operator. This thesis workis a design work where the work among other things comprises the choice ofsuitable motors, one for operating the beam and another one for operatingthe steering wheel. Data for the beam and ball are assumed to be known.Data for the feed back torque to the steering wheel is assumed to be specifiedin advance. Two models to represent the human response are suggested. Asimulation study is carried out to show that the system works according tosome specification. The ball and beam process is simulated with hardwarein the loop. The hardware in the loop is a Maxon motor. The motor is usedas the steering wheel and the motor will also propagate the torque feedbackto the operator.The task of the thesis work could then be formulated as: Can a human, withtorque feedback, manually control the ball on the beam without looking atthe ball and the beam?

The Lagrangian formalism utilized by Ilinskii, Hamilton and Zabolotskaya [J. Acoust. Soc. Am. 121, 786-795 (2007)] to derive equations for the radial and translational motion of interacting bubbles is extended here to obtain a model for the dynamics of interacting bubbles and elastic particles. The bubbles and particles are assumed to be spherical but are otherwise free to pulsate and translate. The model is accurate to fifth order in terms of a nondimensional expansion parameter R/d, where R is a characteristic radius and d is a characteristic distance between neighboring bubbles or particles. The bubbles and particles may be of nonuniform size, the particles elastic or rigid, and external acoustic sources are included to an order consistent with the accuracy of the model. Although the liquid is assumed initially to be incompressible, corrections accounting for finite liquid compressibility are developed to first order in the acoustic Mach number for a cluster of bubbles and particles, and to second order in the acoustic Mach number for a single bubble. For a bubble-particle pair consideration is also given to truncation of the model at fifth order in R/d via automated derivation of the model equations to arbitrary order. Numerical simulation results are presented to demonstrate the effects of key parameters such as particle density and size, liquid compressibility, particle elasticity and model order on the dynamics of single bubbles, pairs of bubbles, bubble-particle pairs and clusters of bubbles and particles under both free response conditions and sinusoidal or shock wave excitation. / text

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This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partial Differential Equations (PDEs). The properties of the functional to minimize with respect to the given topology play an important role in the existence of minimizers of integral problems. We will introduce the important concepts of quasiconvexity and polyconvexity. Inspired by finite element methods from Numerical Analysis, we introduce a perturbed problem which has some surprising uniqueness properties.

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