Deficiency-Surplus Transition Function (DeSuTra) in Semi-Empiricalempirical Formulas for Tumbling of Freely Falling Card
Composites Theory and Practice 2022
Vladimirs Vorohobovs, Mārtiņš Kleinhofs

A new phenomenological method for composing analytical formulae to describe dynamic systems using the DeSuTra function as a building block is introduced. Based on heuristic considerations, it is possible to write a correct formula with several unknown coefficients. Next, these coefficients are tuned such a way that the result coincides with the experimental data. To illustrate the viability of such a method, a simple but not trivial aerodynamic system was chosen: the autorotation of a rec-tangular piece of paper that falls in air. Three correction coefficients (diminishers) were introduced to calculate its rotation frequency. Then a simple expression for the Magnus effect and drag force was used. All the obtained formulae were experi-mentally proved and the coefficients calculated. The conclusions drawn confirm the usefulness of the presented calculation procedure for the design of composites with chaotically distributed reinforcements.


Keywords
autorotation; bifur-cation; DeSuTra function; efficiency diminisher; efficiency reducer; heuristics; lift force; Magnus effect; phenomenology; semi-empiricalempirical research; singularity; tumbling cards
Hyperlink
https://kompozyty.ptmk.net/pliczki/pliki/1395_2022t02_vladimirs-vorohobovs-martins-.pdf

Vorohobovs, V., Kleinhofs, M. Deficiency-Surplus Transition Function (DeSuTra) in Semi-Empiricalempirical Formulas for Tumbling of Freely Falling Card. Composites Theory and Practice, 2022, Vol. 2022, No. 2, pp.92-98. ISSN 2084-6096. e-ISSN 2299-128X.

Publication language
English (en)
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