Sentence examples for modes equations are from inspiring English sources

According to the design characteristics of large container ships the existing methods are modified, air cushion effect and flow separation are considered in the slamming calculation, symmetric and asymmetric vibration modes equations are applied to predict the springing response in head seas and oblique seas.

The two-mode equations are analogous to the two-mode Boussinesq equation and hence are represented by a new nonlinear partial differential equation of second-order in time.

In the dual-core optical fiber, the two beams are launched into two cores simultaneously, the solution of coupled mode equations is derived.

An incompressible variational ideal ballooning mode equation is discretized with the COOL finite element discretization scheme using basis functions composed of variable order Legendre polynomials.

The mode shape equations are linear differential equations with regular singularity.

Analytical solutions of the two mode shape equations are derived, based on the method of Frobenius.

The two mode shape equations are fourth order linear differential equations with variable coefficients and with regular singularity.

To aid in overcoming numerical stiffness caused by the disparity between acoustic and advective modes, the governing equations are transformed into the primitive-variable form in a preconditioning step.

The interactive MINLP solver allows a purely equation system mode (where all equations are given explicitly) and a simulation mode (where the process model equations are included and solved by the simulation engine of a simulator).

For each mode, reduced governing equations are derived for a layer of arbitrary shape.

In addition to the identification of new failure modes, seismic yield acceleration equations are presented for all four modes of failure: sliding, toppling, slumping, and confined toppling.