Sentence examples for formulates an integral from inspiring English sources

In this work a different Robust Design Optimization (RDO) approach is proposed implementing the concept of Variability Response Function (VRF), which is a function that when combined with the power spectral density of the stochastic field that models the system's uncertainty, formulates an integral expression for the variance of the system's response.

The periodic Green function in the form of Fourier series is obtained to formulate an integral equation of the contact pressure.

The rest of the article is organized as follows: in Section 2, we describe our problem in detail, and formulate an integral equation equivalent to the nonlinear and non-uniform beam equation.

First, the sound radiation efficiency has been formulated as an integral.

Such problems, involving discontinuous coefficients in the governing differential equation, are formulated with an integral equation by using a Green function and the basic theory of linear integral equations.

A mathematical model for laminar flow through a duct of an isothermally maintained dehumidifier and for simultaneous diffusion and absorption of water vapor into a desiccant was formulated as an integral equation.

Damage initiation is analysed in detail for a class of non-local damage models––formulated in an integral and a differential format by means of analytical considerations and numerical investigations in a mode-I problem.

Lagrangian flux through a fixed curve segment within a time interval (tn,tn+k) can be formulated as an integral at the initial time tn over a compact point set called donating region, in which each particle will pass through the curve during the time interval and contribute to the flux.

Abel's first papers, published in 1823, were on functional equations and integrals; he was the first person to formulate and solve an integral equation.

Using the Green's function for the well-analyzed linear version of the equation, we formulate a new integral equation which is equivalent to the original nonlinear equation.

After finding the relevant Green functions for the ring and pin, the frictionless contact between them is then formulated in terms of an integral equation with a Fourier series as the kernel.