A Mathematical Derivation Method of the Aerodynamic Forces Effected on a Spatial Rod by Air Flow
Authors: Naumov A.M. | Published: 29.07.2013 |
Published in issue: #3(636)/2013 | |
Category: Calculation and Design of Machinery | |
Keywords: spatially curved rod, aerodynamic forces, air flow, flow rate, associated basis cartesian basis, the transformation matrix, the normal force, shear force |
The aerodynamic forces acting on the structural element of the incoming flow (liquid or gas) are among the most complex in nature in terms of defining both the module and the direction of their actions. This article attempts to display the aerodynamic loads acting on the space-curved rod of circular cross-section is directly related to the cross-section of a deformed rod basis, where the equilibrium equations of the rod are the most simple character.
References
[1] Svetlitskii V.A. Mekhanika sterzhnei. V 2 vol. Vol. 1. Statika [Mechanical rods. Statics]. Moscow, Fizmatlit publ., 2009. 408 p.
[2] Fershing G. Osnovy aerouprugosti [Foundations of aeroelasticity]. Moscow, Mashinostroenie publ., 1984. 539 p.
[3] Naumov A.M., Svetlitskii V.A. Opredelenie napriazhennodeformirovannogo sostoianiia «zhestkogo» shlanga, nakhodiashchegosia v potoke vozdukha ili zhidkosti [Determination of the stress-strain state of a «hard», that runs in a stream of air or liquid]. Mechanics of Solids, 1999, no. 6, pp. 167—172.
[4] Grafski I. Iu., Kazakevich M. I. Aerodinamika plokhoobtekaemykh tel [Aerodynamics of bluf f bodies ]. Dnepropetrovsk. Dnepropetrovsk State University, 1983. 116 p.
[5] Grafskii I.Iu., Kazakevich M.I., Luk’ianova V.N. Eksperimental’noe opredelenie aerodinamicheskikh sil, deistvuiushchikh na sterzhen s plokhoobtekaemym secheniem [Experimental determination of the aerodynamic forces acting on the rod with a bluff section]. Proceedings of Higher Educational Institutions. Machine Building, 1985, no. 1, pp. 17—20.
[6] Devnin S.I. Aerogidromekhanika plokhoobtekaemykh konstruktsii [Aerohydrodynamics bluff structures]. Reference, Leningrad, Sudostroenie publ., 1983. 320 p.
[7] Kazakevich M.I. Aerodinamika mostov [Aerodynamics bridges]. Moscow, Transport publ., 1987. 240 p.