Sentence examples for solution for the governing from inspiring English sources

The series solution for the governing differential equations are extended to include elastically restrained boundary conditions and are used to establish the accuracy of these relationships and to resolve the inconsistencies in previously published results.

For simply-supported and grounded edges kept at a constant temperature, the problem is analyzed analytically by assuming a Navier type solution for the governing equations and the state space method for solving the resulting ordinary differential equations.

It gives the same wave shape of the exact traveling wave solution for the governing equation (8).

Newmarks method for direct time integration has been adopted for the solution of the governing equation for undamped motion.

The operator-split procedure used for the solution of the governing equations, allows to make easy use of a non-local damage operator as an extra feature within a commercial FEM package.

In this paper a numerical method using geometrical transformation and graph product rules is developed for efficient solution of the governing differential equations in many engineering problems with arbitrary domains.

After the implementation of the Regularized Shannon delta (RSD) kernel and Lagrange delta sequence (LDS) kernel, the method of discrete singular convolution (DSC) is used for numerical solution of the governing equations to obtain the frequency values.

The calculation procedure is programmed with VB language for the solution of the governing motion equations of the straddle-type monorail bridge vehicle coupling system.

The exact stiffness matrix derived from the analytical solution of the governing equations for hybrid beam with longitudinal partial interaction is used for the local formulation.

For the parallel solution of the governing system, two distinct approaches are tested.

The shape functions are obtained from the homogeneous solution of the governing equations for static deflections.