Sentence examples for close formulation from inspiring English sources
To properly calculate the first factor on the right handed term, Mathematica 9 was used to extrapolate the close formulation for T t) in each single experiment starting from the measured temperature profile.
A closed-formulation of the micromechanical model is derived using the Walpole spectral decomposition of the stiffness tensors for the two monoclinic crystalline phases.
Analytical formulations describing the physics of this phenomenon are only defined for certain type of simple contact geometries, therefore for more complicated geometries the analytical models utilizing closed formulations remain elusive.
The SRMS method for MDOF primary MDOF secondary coupled systems is modified by incorporating a closed-form formulation for the joint density function of closely spaced frequencies.
A closed-form formulation of the PEP bound in terms of eigenvalue decomposition is derived.
A closed-form formulation is presented for calculating time-varying standard derivation of response.
System reliability analysis of tunnelling problems is illustrated by using an iterative closed-form formulation for a circular tunnel reinforced by end-anchored rockbolts.
An analytical solution is derived that provides a closed-form formulation for stresses and displacements of a deep inclined shaft with irregular frozen wall liner in an infinite elastic medium, subjected to a non-uniform stresses.
The generalized closest point formulation used in the second algorithm provides a framework for further extension to compute the distance accurately to smooth geometric objects on different grid geometries, without the construction of the Voronoi diagrams.
This study addresses the estimation of buffeting response of overhead conductor based on random vibration theory with closed-form formulations.
Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations.
