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title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Suppression of chaotic vibrations in nonlinear dynamic systems
Creators: name: ÐÐ¾ÑÐ°Ð¿Ð¾Ð²Ð°, ÐÑÐ´Ð¼Ð¸Ð»Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÐÐ¾Ð´ÑÐµÐ¼Ð½Ð¾-ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÐµ Ð¼ÐµÑ Ð°Ð½Ð¸Ð·Ð¼Ñ
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Magnitsky's method

description: Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ Ð² Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ Ð¿Ð¾Ð´ÑÐµÐ¼Ð½Ð¾-ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼Ð° Ð¸ Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÐ¾Ð¼ÐµÑÑÐ° Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð²Ð¸Ð±ÑÐ°ÑÐ¸ÑÐ¼Ð¸; 2. Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ°Ð³Ð½Ð¸ÑÐºÐ¾Ð³Ð¾; 3. Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ ÑÐ¸Ð½ÑÐµÐ·Ð° Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð¹ ÑÐ²ÑÐ·Ð¸ Ð´Ð»Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ¿ÐµÐºÑÑÐ¾Ð¼ Ð¥ÐÐ; 4. ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ³ÑÐ»ÑÑÐ¾ÑÐ¾Ð², Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐ°Ð·Ð½ÑÐ¼Ð¸ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸, Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ÐµÑÐ°ÑÑÐ¸Ð¹. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ñ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿Ð¾Ð´ÑÐµÐ¼Ð½Ð¾-ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼Ð° Ð¸ Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÐ¾Ð¼ÐµÑÑÐ°, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ ÑÐ¸Ð½ÑÐµÐ· ÑÐµÐ³ÑÐ»ÑÑÐ¾ÑÐ¾Ð² Ð´Ð»Ñ Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð²Ð¸Ð±ÑÐ°ÑÐ¸Ð¹ Ð² Ð¾Ð±ÐµÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ°Ð³Ð½Ð¸ÑÐºÐ¾Ð³Ð¾ Ð¸ ÑÐ¸Ð½ÑÐµÐ·Ð° Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð¹ ÑÐ²ÑÐ·Ð¸ Ð´Ð»Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ¿ÐµÐºÑÑÐ¾Ð¼ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÐµÐ¹ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°.
description: The purpose of the work is the suppression of chaotic dynamics in nonlinear systems using the example of a lifting and transport mechanism and a mechanical tachometer using several control methods. Tasks that were solved during the study: 1. investigation of nonlinear models with chaotic vibrations; 2. suppression of chaotic dynamics using the Magnitsky method; 3. suppression of chaotic dynamics using feedback synthesis to control the spectrum of Lyapunov characteristic exponents; 4. comparison of regulators obtained by different methods using the method of analysis of hierarchies. As a result of the work, the dynamic models of the lifting and transport mechanism and the mechanical tachometer were investigated, the synthesis of regulators for suppressing chaotic vibrations in both systems was carried out using the Magnitsky method and the synthesis of feedback to control the spectrum of Lyapunov's characteristic exponents.