Applied Mathematics, Mechanics and Physics
Аuthors
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
e-mail: churandr@mail.ru
Abstract
A vertical-plane motion is considered for wind-plane class parachute-cable system. This system is composed from two parachutes linked with a long elastic cable. An approach is offered to solve linear and nonlinear problems associated with parachute-cable system dynamics. This approach bases on Birkhoff-Schlesinger-Tamarkin (BST) technique. Asymptotic presentation of partial solutions is generated due to BST linear analysis for linearized cable equations of motion. Natural cable oscillation modes computed with BST technique are used as coordinate functions for Bubnov-Galerkin technique during nonlinear dynamical analysis of the parachute-cable system.
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