Methods of hyper plain models
reduction and model evaluation
Dragan Knežević
Modelling methods for reduction of hyper plain models into plain models and
model evaluation were defined based on the example of reduction of
seven-dimensional model of the similar valves shutting time under direct effects
of nuclear explosion air blast waves, of the working and dimensional
characteristics of the valves. For the purposes of multicriteria analysis
and optimization processes of the probabilities of transmitting-reduction of
hyper plain models into plain models were defined. The probabilities were
defined through partial correlation characteristics coefficients of the
corresponding functional relationship parameters of the problems researched and
relevant system parameters. The probabilities of transmitting-reduction of hyper
plain models into plain models, along with defining the probability of influence
of a relevant parameter of the system on the problem parameters researched, when
other characteristic system parameters are constant. Using the partial
correlation characteristic coefficients, the probability of influence of the
system 
characteristic values 
on valve shutting times, 
on parameters of the problem researched were defined. Qualitative analysis of
the characteristic parameters of the system influence upon the valve
shutting times is made on the bases of numerical values of the characteristic
partial correlation coefficients for the functional relationship
. Algorithms presented here are applicable in
some other technical areas (hydraulics, fluidic, pneumatics, aerodynamics,
automatic control, etc.) for defining and solving the problems which can not be
exactly described using the laws of physics. Based on the algorithms, a program
for calculating the model of parameters of the problems researched, and
furthermore of valve shutting time and qualitative estimation of the level of
agreement of the obtained models in the plains with the experimental results for
can be realized.
Key words: valve, pneumatic valve, shutting time, blast wave, multicriteria analysis, correlation coefficients, model evaluation.