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In previous works, we have described cardiac motion by means of the velocity flow field.
The actuator's position,(x_2), is synchronized with the operator's motion by means of a periodic input control.
Pulling together a wide range of sciences including physics, engineering, and physiology, biomechanics focuses on understanding athletic motion by means of simulation, modeling, and measurements.
These low order results are confirmed and extended to large amplitude motion by means of a numerical shooting algorithm.
The task of the motion control is to achieve desired motion by means of controlling the fish-like swimming gaits of the robot.
The limited bending displacement produced by a lightweight piezocomposite actuator was amplified and transformed into a large tail beat motion by means of a linkage system.
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The threshold dynamics method developed by Merriman, Bence and Osher (MBO) is an efficient method for simulating the motion by mean curvature flow when the interface is away from the solid boundary.
In this paper, we examine the morphological evolution of a self-similar two-phase bicontinuous structure generated via nonconserved dynamics (i.e., motion by mean curvature) to elucidate the complex dynamics of coarsening.
We show how to construct a convolution kernel that has a desired anisotropic surface tension and desired anisotropic mobility to be used in threshold dynamics schemes for simulating weighted motion by mean curvature of interfaces, including networks of them, in both two and three dimensions.
We show how auction algorithms, originally developed for the assignment problem, can be utilized in Merriman, Bence, and Osher's threshold dynamics scheme to simulate multi-phase motion by mean curvature in the presence of equality and inequality volume constraints on the individual phases.
The problem is solved: (a) for small-amplitude motions, by means of the so-called mean position (MP) analysis and (b) for large amplitude oscillations of the outer cylinder for which a time-dependent coordinate transformation (TDCT) is used to fix the computational domain.
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