Sentence examples for formulated by using a from inspiring English sources

The global matrices of these eigenproblems are formulated by using a mixed finite element approach.

The sensitivity of eigenvalues to the location of bracing and/or boundary support is formulated by using a generalized variational principle.

Under in-plane loading since the linear elastic small deformation theory gives only a trivial solution, in this study the plane strain interface crack problem for a graded coating bonded to a homogeneous substrate is formulated by using a kinematically nonlinear continuum theory.

Based on the higher-order zig-zag theory, the structure model of the multilayered shell is formulated by using a modified variational method combined with a multi-segment technique, whereas a Chebyshev spectral Kirchhoff–Helmholtz integral formulation is employed to model the exterior acoustic fluid.

The DDM decouples the interior problems, that correspond to the solution of Maxwell's equations inside each subdomain and are formulated by using a finite element method, from the exterior problem solved by employing the IE. It has been shown that the solutions of this DDM algorithm converge to those of the original problem.

Constraints between different components are formulated by using a set of non-linear algebraic equations that can be introduced to the dynamic formulation by using a Lagrange multiplier technique or can be utilized to eliminate dependent co-ordinates by partitioning the constraint Jacobian matrix.

In the Sneedean approach the "empirical claim" of the theory is formulated by using an existential quantifier for the T-theoretical terms (i.e., in terms of the "Ramsey sentence" for T).

A well posed topology optimization problem is formulated by using restriction which is achieved via a Helmholtz type filter.

The Dutch study mentioned above is such an example, it does not simply intent to describe systematically the moral judgements of care givers, it demonstrates how a normative view on respect for autonomy can be formulated by using the method of reflective equilibrium as a normative-empirical model in bioethics [ 1, 18, 20].

The various sandwich theories are conveniently formulated by using the unified formulation by Carrera (CUF) that leads to governing equations which forms are formally the same for the different sandwich shell theories.

A parametric governing equation of compounded wave energy converter referred to as a wave farm is formulated by using Hamilton's principle which can be discretized by using Galerkin method.