Sentence examples for equation for coupling of from inspiring English sources

Using von Kármán geometric nonlinearity, Hamilton's principle and considering charge equation for coupling of electrical and mechanical fields, the nonlinear higher order governing equations are derived.

An equation for the coupling of the size-dependent increase of yield strength of metal matrix composites with the particle volume fraction is obtained.

Based on the analytic geometry, the spatial relation between the feed eye and the mandrel was outlined and the kinematic equations for coupling the motion of the mandrel and the feed eye were derived.

As a consequence, besides adding to the set of conservation equations introduced in Ríos Rodriguez et al. (2016) those corresponding to the momentum and energy balance for considering forced heat convection transfer, there appears the need of introducing additional equations for coupling the natural and forced heat convection transfer models.

The first set is the unsteady, full Navier Stokes equations, the second set is the aeroelastic equations for coupled bending and torsion vibrations of the tails, and the third set is the grid-displacement equations.

Two-dimensional equations for coupled extensional, flexural and thickness-shear motions of thin plates of piezoelectric semiconductors are obtained systematically from the three-dimensional equations by retaining lower order terms in power series expansions in the plate thickness coordinate.

Two-dimensional equations for coupled thickness-shear, flexural and extensional vibrations of a shallow shell are used.

For small-scale in the transverse (across B) direction disturbances the linearized MHD equations of a finite pressure plasma can be simplified and reduced to a system of ordinary differential equations for coupled Alfven and SMS modes.

► A posteriori error estimators for Johnson-Nedéléc one-equation coupling of FEM and BEM.

for (1.6) and demonstrated that there exist at least two roots with positive real parts in the case p τ > π 2. Myshkis, analyzing the roots of the characteristic equation (1.11), proved instability of equation (1.6) for each couple of positive constants p and τ (see [[4], Chapter III, Section 16, pp.105-106]).

The Bateman Luke variational principle is used to develop a system of ordinary differential equations which account for the coupling of the sloshing modes through the non-linear free surface boundary conditions.