title: ÐÐºÑÐ¸Ð²Ð½Ð¾Ðµ Ð³Ð°ÑÐµÐ½Ð¸Ðµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð±Ð°Ð»ÐºÐ¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼Ð¾Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð´Ñ Ð¾Ð´Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Active damping of beam vibrations based on a modal approach
Creators: name: ÐÑÐ»Ð¾Ð², Ð¡ÐµÑÐ°ÑÐ¸Ð¼
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: 2020
Subjects: ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ
Ð¼Ð¾Ð´Ð°Ð»ÑÐ½ÑÐ¹ Ð¿Ð¾Ð´Ñ Ð¾Ð´
Ð³Ð°ÑÐµÐ½Ð¸Ðµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
control
approach
damping
numerical simulation

description: ÐÐ»Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ¿ÑÑÐ³Ð¾Ð¹ Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹ Ñ ÑÐ°Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð½ÑÐ¼Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ð¼Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑÑÑ Ð³Ð»Ð°Ð²Ð½ÑÐ¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ Ð´Ð²Ð° Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° â Ð»Ð¾ÐºÐ°Ð»ÑÐ½ÑÐ¹ Ð¸ Ð¼Ð¾Ð´Ð°Ð»ÑÐ½ÑÐ¹. ÐÐ°Ð¶Ð´ÑÐ¹ Ð¸Ð· Ð½Ð¸Ñ Ð¸Ð¼ÐµÐµÑ ÑÐ²Ð¾Ð¸ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²Ð° Ð¸ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ¸, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÑÑ Ð¸Ñ ÑÑÑÑÐºÑÑÑÑ. Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ Ð±Ð¾Ð»ÐµÐµ Ð¿ÐµÑÑÐ¿ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ (Ð¸ ÑÐ¶Ðµ Ð·Ð°ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð¾Ð²Ð°Ð²ÑÐµÐ³Ð¾ ÑÐµÐ±Ñ) Ð¼Ð¾Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÑÐ°ÑÐ½Ð¸ÑÐ½Ð¾ Ð¾Ð¿ÐµÑÑÐ¾Ð¹ Ð±Ð°Ð»ÐºÐ¸ Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ. ÐÐ¾Ð´Ð°Ð»ÑÐ½Ð¾Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐµÐ°Ð»Ð¸Ð·ÑÐµÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐµÐ·Ð¾Ð°ÐºÑÑÐ°ÑÐ¾ÑÐ¾Ð² Ð¸ Ð¿ÑÐµÐ·Ð¾ÑÐµÐ½ÑÐ¾ÑÐ¾Ð², ÑÐ°ÑÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÑ Ð²Ð´Ð¾Ð»Ñ Ð±Ð°Ð»ÐºÐ¸ â Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð½Ð¸Ñ Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÐµÑÑÑ ÑÐµÐ¿Ð°ÑÐ°ÑÐ¸Ñ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐ¾ÑÐ¼ Ð¸ Ð¸Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐµ Ð²ÑÐ±Ð¾ÑÐ¾ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐµÐ¹ Ð½Ð°ÑÑÑÐ¾Ð¹ÐºÐ¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ. ÐÐµÑÐ¸Ð»Ð¾Ð¼ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐµÐ¼Ð¾Ð³Ð¾ Ð¼Ð¾Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð´Ð¾ÑÐ¾Ð´Ð° ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ðµ ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½ÑÑ Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´ Ð²Ð±Ð»Ð¸Ð·Ð¸ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¾Ñ Ð±Ð°Ð»ÐºÐ¸. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¿ÑÑÐµÐ¼ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸Ð»Ð»ÑÑÑÑÐ¸ÑÑÑÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ðµ MatLab.
description: There are two main approaches to control an elastic mechanical system with distributed parameters â local and modal. Each of them has its own advantages and disadvantages due to structure peculiarities. The goal of this paper is studying of more prospective modal approach applied to control of constant section simply supported beam. The modal approach is carried out using piezosensors and piezoactuators, which is located along the controlled beam, their functions are separation of beamâs eigenmodes and selective control of the last ones by means of gain values tuning. Reducing of resonance amplitudes near to beam eigenfrequencies is taken as an effectiveness indicator of the using method. Obtained theoretical results are illustrated by virtue of numerical modeling in computational environment of MatLab.