Abstract
This work makes use of Navier-Stokes equations to describe an analytical method of finding the motion speed of a flexible inextensional shell falling down to the ground from a preset height and determines the duration of this fall. The soft shell in question is a fabric body of aerodynamic shape or an item of clothes, an airborne vehicle element, etc. Analytical relations are presented for the speed at which the shell moves in the air, taking account of the air resistance and the shell fall duration. The boundary problem of the soft shell vertically falling in the air is solved.
Highlights
In modern mechanics of continua an important place belongs to the actively evolving section of soft aircraft dynamics; this section is dedicated to solving aircraft motion control problems
To solve of the soft shell freely moving in the air is necessary for studying the motion of various airborne vehicles with a density exceeding the air density; as a result, a soft shell freely moving in the air falls down to the ground by gliding from a preset height
The autonomous control of microsize airborne vehicles imitating flying insects in unknown media is a complex problem because these artificial subjects have small dimensions and are, exposed to wind influences
Summary
In modern mechanics of continua an important place belongs to the actively evolving section of soft aircraft dynamics; this section is dedicated to solving aircraft motion control problems. While landing an airborne vehicle has to enter into a gliding fall Another topical problem is the safe landing control after a long supposed fall of humanoid robots (Bingham et al, 2014). The task of describing the soft shell motion law involves such major aspects as designing the shell and its forming in the field of gravity and elasticity forces (Byrdina, Bekmurzaev & Mitsik, 2017a; 2017b). Another topical issue is the vertical stability of the shell with an airflow discharged inside it (Bekmurzaev, Mitsik & Byrdina, 2018). This work is an important part of describing dynamical behavior of flexible inextensional shells used in various environments
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