Sentence examples for identically satisfy from inspiring English sources

Next, the elasticity problem for the simply supported plate for each instantaneous temperature distribution is analyzed by using displacement functions that identically satisfy boundary conditions at the edges.

Displacement functions that identically satisfy boundary conditions are used to reduce the governing equations to a set of coupled ordinary differential equations with variable coefficients.

Suitable temperature and displacement functions that identically satisfy the simply supported boundary conditions are used to reduce the thermoelastic equilibrium equations to a set of coupled ordinary differential equations with variable coefficients, which can be solved by differential quadrature method.

Rayleigh Ritz variational method is applied to the determination of the first four frequency coefficients for the title problem by making use of coordinate functions which identically satisfy the boundary conditions at the outer edge.

The governing partial differential equations are reduced to ordinary differential equations in the thickness coordinate by expanding all entities for each layer in double Fourier series in span coordinates, which identically satisfy the boundary conditions at the simply-supported ends.

Suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series method.

The continuity equation is identically satisfied.

The conditions (32) are identically satisfied.

It is to be noted that the displacement equilibrium equation for i = 1 is identically satisfied.

Mass conservation and the Hamilton Jacobi equation for the potential are identically satisfied by constant mass transport along straight lines.

It can be verified that, the above defined similarity transformations are identically satisfied by the Equation (1).