Sentence examples for by using variational principles from inspiring English sources

The creeping flow of a Bingham fluid past a circular cylinder was analyzed by using variational principles.

In the present paper, we are concerned with a class of nonlinear Sturm-Liouville problems and we establish some qualitative properties of the eigenvalues by using variational principles.

Governing equations of motion for vibrations of a general multilayered plate consisting of an arbitrary number of alternate stiff and soft layers of orthotropic materials are derived by using variational principles.

The governing field equations are derived using variational principles, equilibrium requirements, and integral-type constitutive relations.

The equations of motion are derived using variational principle.

has been studied by using variational method.

This can be seen most easily by using the variational principle.

This equation can be approximately solved by using the variational principle [24].

In addiThen, the neutral axis and zero-stress axis no longoverningidequationsch other, and the results of boundaryd beam gradually approaconditions of monolarer beam as the height of one layer is becoming much greater than that of the other layer.

Obtained experimental data followed by theoretical parametric analysis were used to evaluate three different convective heat transfer models by using simple variational principle based film blowing model.

In this section, we will prove that problems (1.1 - 1.2 1.1 - 1.2ee distinct solutions by using thaveariathreel principle of Ricceri andistinctl mountain pasolutions