This difference seems to be caused by the linear simplification of the impact loading history after ( 2,{text{ms}} ) (see the dashed line in Fig. 12b).
It is also shown that the proposed formula can combine with an existing Tcr−θcr formula to provide a precise bi-linear simplification of the nonlinear pre-cracking torque-twist curves for solid and hollow RC members; this can then be conveniently used in the nonlinear finite element analyses needed in performance-based engineering.
The authors apply an analytical model of the vortex flow that links vortex behaviour to surface pressure to assess these contributions, and show that their absence results in the net underprediction of Cp∨ and Cprms, even when the quasi-steady theory is applied fully, with no linear simplifications.
The most frequent, truly non-linear simplification that occurs in biochemical models is the "min-funnel", which we present below.
"It's a strange filter," he said, of the desire he kept seeing for simplification and a linear narrative.
After simplification into a linear system, an adaptive interval model control system has been designed.
The main simplifications are a linear dependence of the electrical resistance on temperature and lumped thermal conductance G and heat capacity C. Furthermore current controlled operation and perfect absorption of the incident infrared (IR) radiation, η=1, are supposed.
A linear signal-transduction pathway would be a simplification of the complex network between chemoattractant-binding and integrin-adhesion [ 69].
The way of reprojection and co-adding applied here is a linear method similar to Drizzle, and a reasonable simplification is applied to accelerate the computation.
is a linear increasing function and is defined as for simplification in this paper.
After simplification of the controlled process into a linear system, an adaptive control system has been designed to keep the NTSD constant.
