We present an algorithm for rigid body diffusion Monte Carlo with importance sampling, which is based on a rigorous short-time expansion of the Green’s function for rotational motion in three dimensions. We show that this short-time approximation provides correct sampling of the angular degrees of freedom, and provides a general way to incorporate importance sampling for all degrees of freedom....

In the early 1980s, Reymond Clavel invented the Delta robot at the École polytechnique fédérale de Lausanne. The initial objective was the development of an industrial robot dedicated to high-speed handling tasks of very light objects. Nowadays, the Delta robot is one of the best-known and most widely spread parallel robots. Besides various different designs of the original architecture, e.g. D...

In mechanical engineering, the finite element method is well-known in simulation of homogeneous materials without microstructures. But, particular, microstructures can improve with respect to their applicability engineering. Examples are 2D- and 3D-fiber-reinforced materials, which manufactured microscale or mesoscale, respectively. An efficient these provides an anisotropic continuum formulati...

Comparative musculoskeletal modeling represents a tool to understand better how motor system parameters are fine-tuned for specific behaviors. Frog jumping is a behavior in which the physical properties of the body and musculotendon actuators may have evolved specifically to extend the limits of performance. Little is known about how the joints of the frog contribute to and limit jumping perfor...

Discussed is the structure of classical and quantum excitations of internal degrees of freedom of multiparticle objects like molecules, fullerens, atomic nuclei, etc. Basing on some invariance properties under the action of isometric and affine transformations we reviewed some new models of the mutual interaction between rotational and deformative degrees of freedom. Our methodology and some re...