Approximate analytical method for determining the vibration-diagnostic parameter indicating the presence of a crack in a distributed-parameter elastic system at super- and subharmonic resonances

2010 ◽  
Vol 42 (5) ◽  
pp. 528-543 ◽  
Author(s):  
V. V. Matveev ◽  
O. E. Boginich ◽  
A. P. Yakovlev
Keyword(s):  
Analytical Method ◽  
Elastic System ◽  
Distributed Parameter ◽  
Diagnostic Parameter ◽  
Approximate Analytical Method ◽  
Subharmonic Resonances

Possible application of approximate models for calculation of selectivity of consecutive reactions under the effect of mass transfer

1982 ◽  
Vol 47 (5) ◽  
pp. 1301-1309 ◽  
Author(s):  
František Kaštánek ◽  
Marie Fialová
Keyword(s):  
Mass Transfer ◽  
Numerical Method ◽  
Analytical Method ◽  
Approximate Analytical Method ◽  
Approximate Models ◽  
Consecutive Reactions ◽  
The Difference

The possibility of use of approximate models for calculation of selectivity of consecutive reactions is critically analysed. Simple empirical criteria are proposed which enable safer application of approximate analytical reactions. A more universal modification has been formulated by use of which the difference of selectivity calculated by the exact numerical method and by the approximate analytical method is at maximum 12%.

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