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Under this formulation, the response probability of a positive outcome depends on the unobserved effect and past experience.
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The hybrid formulation computes the response of the entire system.
An efficient formulation for the response and dissipated energy of Bouc Wen hysteretic model is proposed.
Formulation of the response with structural damping is derived as an eigenfunction series.
The problem formulation expresses the response in terms of a second-order Volterra series, i.e., including a linear and a quadratic term.
The new uncoupled equations lead to a simple formulation of the response, stability, and the establishment of a complete set of conservation laws.
Proposed first is a novel formulation of the response function suitable for minimizing the error norm between desired and achieved shapes in the form of combined mutual strain energy densities.
Based on an earlier static formulation, the dynamic response of a corrugated panel (as characterised by its central deflection) subjected to a uniformly distributed pressure pulse is analysed.
In the first part of the paper, the hybrid POD is compared to two other formulations for the response to an initial condition: an approach based on the discrete finite elements equation of the rod called the discrete POD (PODd), and an analytical approach using the exact solution of the problem and consequently called the analytical POD (PODa).
Two widely used formulations for the response surfaces are regression and kriging.
A full factorial design method was applied to study the effect of the level of each ingredient in the pre-treatment formulation on the responses, together with the steaming time used for dye fixation.
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