Sentence examples for freedom formulation from inspiring English sources

In this paper, a 'facilitating' numerical framework is introduced in which, for a given continuous reference shape, a geometrically similar discrete model is found by implementation of a six degree of freedom formulation of the Dynamic Relaxation method, to handle members bending and torsional stiffness.

A discrete singularity-free mapping between the five- and the six-degrees-of-freedom formulation is constructed by exploiting the geometry connection between the orthogonal group and the unit sphere.

Analytical calculations are also carried-out by means of single-degree-of-freedom (SDOF) formulations derived from structural dynamics theories, in order to properly estimate blast and second-order effects on maximum deflections and corresponding tensile stresses.

PC-SAFT has also been robust in predicting gas solubility in random copolymer or gas blend foaming systems showing additional degrees of freedom in foam formulation design, and requiring only inputs from the individual homopolymer or single blowing agent systems.

EGM satisfies local equilibrium while reducing the degrees of freedom in DGM formulations.

The proposed Two-Degree-of-Freedom (2-DoF) formulation provides a complement to the existing controller that can be automatically determined in terms of the available process and feedback controller information.

Certain modifications are made in this article for a multi-degree-of-freedom "reverse path" formulation that utilizes multiple-input/multiple-output data from non-linear systems when excited by Gaussian random excitations.

It is shown that an analysis of the special cases of the general multi-degree-of-freedom non-linear formulation can provide not only an improved understanding of the dynamic behavior of non-linear systems, but also can be used as the basis for the development of simplified approximate solutions.

A Condensation procedure is used to remove the internal degrees of freedom so that the formulation is easily incorporated with the standard co-rotational approach.

This particular formulation of academic freedom was forced on the Thatcher government by a strong-minded House of Lords.

Thus, the OFEE format (Problem 6) at each time level has only 6 degrees of freedom, while the classical FE formulation (Problem 4) contains more than (4times10^{4}) degrees of freedom.