Sentence examples for classical governing from inspiring English sources

The classical governing equations are extracted using Hamilton's principle.

To incorporate the size effect of long-range forces, the nonlocal elasticity theory is employed to derive the difference equation of torsional motion, which can be reduced to the classical governing equation by simply setting a zero nonlocal parameter.

Apart from the classical governing equations for mass and energy conservations, and for the force equilibrium in the two bulk phases and on their interface, an additional equilibrium equation for a so-called configurational force is imposed in the two bulk phases and on their interface for the effect of the solution-gel phase transition.

The Classical rules governing the relation between the architecture of a building and its decoration may be expected to leave their mark on Christian mosaic art for a long time.

On the basis of Hamilton's principle, the non-classical governing differential equations of motion are established.

The principle of virtual work is put to use in order to formulate the non-classical governing differential equations.

By using Hamilton's principle, the non-classical governing differential equations of motion including von Karman geometric nonlinearity are derived.

On the basis of a variational formulation using the principle of virtual work, the non-classical governing differential equations are derived.

On the basis of generalized differential quadrature (GDQ) method, the non-classical governing differential equations are discretized along simply-supported and clamped boundary conditions and are then parameterized and solved using the pseudo arc-length continuation method.

The generalized differential quadrature (GDQ) method is employed to discretize the non-classical governing differential equations over the spatial domain by using the shifted Chebyshev Gauss Lobatto grid points.

Using Hamilton's principle, the non-classical nonlinear governing differential equations of motion and associated boundary conditions are derived.