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The algorithm uses a quasi-static formulation of motion constrained by multiple contacts to simulate rigid-body interaction between a haptically controlled virtual instrument and volumetric isosurfaces.
We present a variational formulation of motion by minus the Laplacian of curvature and mean curvature flow, as well as related second and fourth order flows of a closed hypersurface in R3.
This work explores the effect of key design parameters – the speed profile of the moving platen, the stroke of the clamping hydraulic cylinder and mold-opening, the ration of force amplification, and the initial angle of mold-closing on the performance of a five-point double-toggle clamping mechanism, drawing on a newly developed formulation of motion.
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The formulation of the motion equations starts from a data set which can be either analytically or numerically computed by finite elements FE) codes.
The approach combines the level set method of S. Osher and J. A. Sethian with a theoretical variational formulation of the motion by F. Reitich and H. M. Soner.
Using the theory of generalised functions within a 1D formulation of equations of motion, exact closed-form expressions are derived for beam dynamic Green's functions and frequency response functions under arbitrary polynomial load, for any number of dampers.
Based on Lagrange's formulation, the equations of motion of the vehicle can be obtained.
A unique formulation of describing fluid motion is presented.
We begin with a formulation of optical flow motion and proceed to describe the phase-based approach.
The term 'supertask' is new but it designates an idea already present in the formulation of the old motion paradoxes of Zeno, namely the idea of an infinite number of actions performed in a finite amount of time.
In criticizing the Cartesian formulation of the laws of motion, known as mechanics, Leibniz became, in 1676, the founder of a new formulation, known as dynamics, which substituted kinetic energy for the conservation of movement.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com