Sentence examples for equations was derived from inspiring English sources

Equations was derived using first order shear deformation theory (FSDT) and solved using generalized differential quadrature (GDQ) method.

With this purpose, a set of design equations was derived in order to analyse the flexural behaviour of continuous hybrid beams, subjected to positive and negative bending.

By directly expanding the jumps in displacement across the crack surfaces into a series of Jacobi polynomials, the solution to the dual integral equations was derived.

Sliding systems with a flexible body (i.e., a soft material) in the contact zone were modeled as a general two-degrees-of-freedom system that includes tangential contact compliance, and a series of dimensionless governing equations was derived.

A set of parametric equations was derived to predict the stress distributions along both chord and brace toes in tubular X and DT-joints under each mode of loading.

A system of partial differential equations was derived to describe diffusion in the two-phase region of a ternary alloy by assuming that the mixture concentration in an infinitesimally small volume can be changed by external fluxes over the boundaries of this volume.

The appropriate state equations are derived.

Kinematic and dynamic equations are derived.

Four nonlinear-coupled equations are derived.

The phase velocity equations are derived analytically.

Analytical equations are derived for physical insight.