2 Preliminaries in Mathematics and Physics 47 2.1 Surface Theory Based on Moving Frame . . . . . . . . . . . . . . 47 2.1.1. Moving Frame Method . . . . . . . . . . . . . . . . . . . 47 2.1.2. Stokes’ Theorem and Related Identities . . . . . . . . . . 49 2.2 Helfrich’s Model . . . . . . . . . . . . . . . . . . . . . . . . . . 50 2.3 Variational Method Based on Moving Frame . . . . . . . . . . ....

The forced vibration behaviors are examined for nonlocal strain gradient nanobeams with surface effects subjected to a moving harmonic load travelling with a constant velocity in terms of three beam models namely, the Euler-Bernoulli, Timoshenko and modified Timoshenko beam models. The modification for nonlocal strain gradient Timoshenko nanobeams is exerted to the constitutive equations by exc...

The main purpose of this paper is to introduce a boundary layer analysis for the fluid flow andheat transfer characteristics of an incompressible nanofluid flowing over a permeable isothermalsurface moving continuously. The resulting system of non-linear ordinary differential equations issolved numerically using the fifth–order Runge–Kutta method with shooting techniques usingMatlab and Maple s...

Cooling from impinging water jets in runout table (ROT) processing depends on the fluid flow and depth of water accumulated in the water pool that forms on the surface of the moving steel strip. This effect is investigated with a three-dimensional (3-D) computational model of fluid flow, pressure, and free surface motion for realistic banks of nozzles within the flow rate region of the ROT proc...

The heat transfer for a non-Newtonian power-law fluid over a moving surface is investigated by applying a uniform suction/injection velocity profile. The flow is influenced by internal heat generation/absorption. The energy equation is solved at constant surface temperature condition. The Merk-Chao series is applied to obtain a set of ODEs instead of a complicated PDE. The converted ordinary diffe...

A rigid-flexible manipulator may be assigned tasks in a moving environment where the winds or vibrations affect the position and/or orientation of surface of operation. Consequently, losses of the contact and perhaps degradation of the performance may occur as references are changed. When the environment is moving, knowledge of the angle α between the contact surface and the horizontal is requi...

Aiming at automatic, convenient and non-instrusive motion capture, this paper presents a new generation markerless motion capture technique, the FlyCap system, to capture surface motions of moving characters using multiple autonomous flying cameras (autonomous unmanned aerial vehicles(UAVs) each integrated with an RGBD video camera). During data capture, three cooperative flying cameras automat...

Motion-induced blindness is a striking phenomenon in which salient static visual stimuli "disappear" for seconds at a time in the presence of specific moving patterns. Here we investigate whether the phenomenon is due to surface completion of the moving patterns. Stereo-depth information was added to the motion stimulus to create depth ordering between the static and moving components of the di...