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Hence in those cases, where it is tedious to check the condition D ″ u n ) theoretically, we can use numerical procedures to measure ratio of number of consecutive exceedances to number of exceedances and the ratio of number of upcrossings to number of consecutive exceedances in small intervals.
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While built on a sound physical foundation, isentropic, one-dimensional models generally used to analyze the dynamics of dilute two-phase (feed-powder particles suspended in a carrier gas) flow during the cold-gas dynamic-spray process, require the use of numerical procedures to obtain solutions for the governing equations.
Due to dilatancy, which implies the adoption of a nonstandard constitutive flow law for concrete, such methodology makes use of two different numerical procedures to search for an upper and a lower bound to the actual peak load.
The goal of the present paper is to use another numerical procedure to treat the singularities in order to get a more accurate numerical solution.
The developed user friendly dialogue and used numerical procedures makes the "OPT-PROx" software useful to food scientists in research and education, as well as to engineers involved in optimization of thermal food processing.
Results from the measurements of input power and vibrational energy were used in a numerical procedure to determine the internal loss factors and CLF.
One critical point in using numerical procedures such as the FEM is providing a mesh where the size of the elements is small enough to resolve the pressure field as accurate as necessary and, concurrently, minimise the calculation time.
Using numerical procedures, breakthrough curves are calculated as a function of one diffusional and one equilibrium parameter for systems obeying equilibrium isotherms concave to the gas concentration axis.
The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells.
Optimization using numerical procedures evidently precludes any explicit mathematical representation of uncertainty.
Later, Coronelli and Gambarova (2004) used a finite-element-based numerical procedure to estimate the bond deterioration index of concrete beams under corrosive conditions.
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