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[1] The U* index theory has been validated through two different physical experiments. [3] Since the U* index predicts the load paths based on the structural stiffness, it is not affected by the stress concentration problems. The load transfer analysis using the U* index is a new design paradigm for vehicle structural design.
massless load inertial load Vibrations of a string under a moving massless force (v=0.1c); c is the wave speed.Vibrations of a string under a moving massless force (v=0.5c); c is the wave speed.
In mathematics, the winding number or winding index of a closed curve in the plane around a given point is an integer representing the total number of times that the curve travels counterclockwise around the point, i.e., the curve's number of turns. For certain open plane curves, the number of turns may be a non-integer.
Moving horizon estimation (MHE) is a multivariable estimation algorithm that uses: an internal dynamic model of the process; a history of past measurements and; an optimization cost function J over the estimation horizon, to calculate the optimum states and parameters. Moving horizon estimation scheme [4] The optimization estimation function is ...
Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) [1] is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case corresponding to small deflections of a beam that is subjected to lateral ...
Simply supported beam with a single eccentric concentrated load. An illustration of the Macaulay method considers a simply supported beam with a single eccentric concentrated load as shown in the adjacent figure. The first step is to find . The reactions at the supports A and C are determined from the balance of forces and moments as
Below it, the red surface is the graph of a level set function determining this shape, and the flat blue region represents the X-Y plane. The boundary of the shape is then the zero-level set of φ {\displaystyle \varphi } , while the shape itself is the set of points in the plane for which φ {\displaystyle \varphi } is positive (interior of ...
Python implementation with references; Python2 wrapper for the C implementation of the Earth Mover's Distance; C++ and Matlab and Java wrappers code for the Earth Mover's Distance, especially efficient for thresholded ground distances; Java implementation of a generic generator for evaluating large-scale Earth Mover's Distance based similarity ...