In 1933 Karol Borsuk asked whether each bounded set in the n-dimensional Euclidean
space can be divided into n+ 1 parts of smaller diameter. The diameter of a set is defined as …

In this paper we derive explicit formulas for disarrangement densities of submacroscopic
separations, switches, and interpenetrations in the context of first-order structured …

Introducing the planes of symmetry into an oscillating rigid body suspended by springs
simplifies the complexity of the equations of motion and decouples the modes of vibration …

We describe algorithms to compute isotropic vectors for matrices with real or complex
entries. These are unit vectors b satisfying b* Ab= 0. For real matrices the algorithm uses …

Le contexte de cette thèse est la conception d'assistants robotiques aux gestes chirurgicaux
guidés par IRM. Cette conception est rendue délicate par l'environnement qui impose des …

[16] P.-A. Absil, R. Mahony, and B. Andrews. Convergence of the iterates of descent
methods for analytic cost functions. SIAM J. Optim., 16 (2): 531–547, 2005.[17] A. Abu-Omar …

Following the conceptual design of compliant mechanisms in Chap. 5, this chapter further
looks into the stiffness properties of the developed compliant parallel mechanisms. Two …

In this chapter we present and discuss the theory of energetic relaxation to first-order
structured deformations. The chapter is divided into two parts. In the first one, we introduce …

This paper investigates both stiffness analysis and synthesis problems using a physical
prototype of one SPS orthogonal parallel mechanism. This parallel mechanism is supported …

Compliant mechanisms are emerging techniques in the robotic research fields. Compared to
traditional rigid mechanisms, compliant mechanisms can provide infinite degrees of freedom …