Sentence examples for formulated using finite from inspiring English sources
The governing equations of a partially treated multi-layered MR beam are formulated using finite element method and Ritz formulation.
Displacements in the solid materials for the walls are also formulated using finite elements including complex modulus of elasticity.
In this study, piezoelectric smart structures are formulated using finite element method based on equivalent single layer theory for electromechanical domains, especially in energy harvesting.
It can also be found that the proposed sliding cable element can degenerate to the existing element formulated using the finite element approach.
An approximate solution method for the diffusion of lithium ions within active material particles is formulated using the finite element method and implemented in the previously developed 1D electrochemical model as an explicit difference equation.
In order to evaluate the resonance effect caused by internal two-phase flow, a dynamic model capable of describing axial, bending vibrations and fluid-structure interaction was formulated using FEM (Finite Element Method), where the void fractions of the two-phase flow were predicted by empirical correlations.
An efficient analytical formulation to perform the sensitivity analysis is formulated using the developed finite element force method, and then utilized in the SQP formulation as the gradient information.
Three-node ring elements are used for buckling and vibration analysis, formulated using semi-analytical finite element method.
Furthermore, it follows that older codes formulated using second-order finite difference methods utilizing artificial viscosity can be converted into accurate, modern tools with a high potential for parallelizability.
Eigenanalysis formulated using a three-dimensional finite element method (FEM) is used to calculate the order of stress singularity, angular functions of displacements and stresses.
The algorithm is formulated using a step-by-step finite difference procedure combined with a fully implicit quadrature scheme.
