Sentence examples for beam functions were used from inspiring English sources

Timoshenko beam functions were used as the trial functions.

Elastically restrained Timoshenko beam functions are used as constitutive shape functions and the boundary conditions not satisfied remain as boundary terms in the final variational energy expression.

A set of beam functions is used as the admissible functions of the plate in a fluid plate system, and the motion of the fluid induced by the deformation of the plate is obtained from a three-dimensional acoustic equation.

From this data, a Ritz model with Timoshenko beam basis functions was used in a Bayesian framework to estimate the average plate thickness.

The sinc function is a very convenient way of representing the scattering profile by just considering the path differences of possible scattered beams; therefore sinc functions are used to illustrate the basic concepts in this article, although as will be shown later dynamical theory is included.

The analysis is based on the Ritz method in which a combination of eigenfunctions for beams and quintic Bezier functions are used to represent the displacement fields along the longitudinal and circumferential directions, respectively.

Using a beam as an example, Daubechies wavelet scale functions are used as admissible functions for decomposing the flexural displacement of the structure, along with the artificial springs at the boundary, to predict vibration of an Euler Bernoulli beam in an extremely large frequency range.

Method of initial functions is used for the analysis of infilled reinforced concrete composite beams.

Method of initial functions is used for the analysis of reinforced concrete brick filled composite beams.

To account for the discontinuity term induced by various additional elements on the beam, Heaviside's function is used to express the modal displacement of the whole beam by a single function.

In this work, Gaussian distributions are used to model the temporal and spatial distributions of the laser beam and an exponential decay function is used to model the internal absorption of the laser power.