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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. Vibrations of a string under a moving inertial force (v=0.1c); c is the wave speed.
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
Load and moment boundary conditions involve higher derivatives of and represent momentum flux. Flux boundary conditions are also called Neumann boundary conditions. As an example consider a cantilever beam that is built-in at one end and free at the other as shown in the adjacent figure. At the built-in end of the beam there cannot be any ...
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 ...
Smoothing of a noisy sine (blue curve) with a moving average (red curve). In statistics, a moving average (rolling average or running average or moving mean [1] or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set.
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.
In linear algebra, linear transformations can be represented by matrices.If is a linear transformation mapping to and is a column vector with entries, then there exists an matrix , called the transformation matrix of , [1] such that: = Note that has rows and columns, whereas the transformation is from to .