Sentence examples for convert the equation from inspiring English sources

The equations of motion of the FG orthotropic cylindrical shells are derived from the Donnell's non-linear shell theory, and then the superposition and Galerkin methods are adopted to convert the equation of motion into a non-linear ordinary differential equation.

The Krylov-Bogoliubov-Mitropolsky (KBM) and multiple-time-scales (MTS) methods use expansions of dependent variables, ordinary time derivatives, and some system parameters to convert the equations of motion into a set of first order differential equations.

The equations of motion and boundary conditions are derived by applying Hamilton's principle, and the general Galerkin method is utilized to convert the equations of motion into a set of coupled Hill's equations with complex coefficients in the time domain.

To do this, we convert the equations for each node to polar coordinates and assume that the phase, θ, of the two nodes is equal.

The simplification converts the equation of motion coupled with the partial differential equation of a compressible fluid, into a compact, second order ordinary differential equation, where the local stiffness and damping are transparent.

The Ritz-Galerkin method in Bernstein polynomials basis is the method to convert a continuous operator problem to a discrete problem, which essentially converts the equation to a weak formulation, and then apply some constraints on the function space to characterize the space with a finite set of basis functions.

Mathematically, the use of explicit time delays converts the equations into delay differential equations which have effectively infinite dimensions and are well known to often exhibit oscillatory behaviour.

Two methods are discussed that employ modified temperature distribution functions to convert the system equation into a linear Fredholm integral equation of the first kind.

We need to convert the stochastic equation with random additive term into a deterministic equation with random parameter.

Here, we present a new procedure with which we can convert the Schrodinger equation with any shape of the potential profile into the NU type equation.

For recursive filters, we can convert the difference equation into a convolution by calculating the filter impulse response.