Analysis and synthesis of controlled object motion in fluid via flutter interactions
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Kuupäev
2026
Kättesaadavus
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Kirjastaja
Estonian University of Life Sciences
Abstrakt
This paper investigates the controlled motion of an object in a fluid (air or water) under conditions where fluid-object interaction occurs simultaneously at infinitely many points. An analytical framework is developed to derive second-order ordinary differential equations with constant coefficients describing object motion in a continuous medium. The approach is applicable to the analysis and synthesis of motion in fluids in the context of agricultural engineering, including the study of biological locomotion, the design and control of robotic systems operating in air or water, and the optimization of object trajectories under prescribed interactions and constraints relevant to agricultural environments. The method is based on the differential form of the momentum balance in classical mechanics and employs simplified representations of fluid-object interaction, including normal pressure effects on the object surface and experimentally determined characteristics of the suction region, while neglecting viscous forces. The applicability of the framework is demonstrated through representative cases involving fixed, translating, and rotating wings in stationary and moving fluids, as well as coplanar motions relevant to flying mechanisms. Example problems include gliding, vertical take-off, free fall, and controlled motion in a vertical plane. The results show that the proposed approach enables effective modelling of simplified object dynamics in air or water by reducing complex space-time interaction problems to systems of ordinary differential equations with specified initial conditions. The advantages and limitations of the method are discussed, confirming its suitability for analytical studies of controlled motion in continuous media.
Kirjeldus
Received: February 2nd, 2026 ; Accepted: July 9th, 2026 ; Published: July 17th, 2026 ; Correspondence: vitalijs.beresnevics@rtu.lv
Märksõnad
analytical method, continuous medium, flow, fluid-object interaction, prismatic body, articles
Viide
Beresnevich, V., Viba, J., Vutukuru, S., Irbe, M., Kovals, E., & Eiduks, M. (2026). Analysis and synthesis of controlled object motion in fluid via flutter interactions. Estonian University of Life Sciences. https://doi.org/10.15159/AR.26.054