title: ÐÐ°ÑÐµÐ½Ð¸Ðµ Ð²Ð¸Ð±ÑÐ°ÑÐ¸Ð¹ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ½ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²Ð¾Ðº Ð¿Ð¾ÑÑÐ½ÐµÐ²Ð¾Ð³Ð¾ ÑÐ¸Ð¿Ð°
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: Dampening of vibrations of piston-type compressor units
Creators: name: ÐÑÐ¸Ð½Ð¸ÑÑÐ½, ÐÐ½Ð´ÑÐµÐ¹
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: 2022
Subjects: ÐÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ½ÑÐµ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸
ÐÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ
Ð¡ÑÐµÑÐ¶Ð½Ð¸
ÐºÐ¾Ð½ÐµÑÐ½Ð¾Ðµ ÑÐ¸ÑÐ»Ð¾ ÑÑÐµÐ¿ÐµÐ½ÐµÐ¹ ÑÐ²Ð¾Ð±Ð¾Ð´Ñ
Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´
finite number of degrees of freedom
variational method

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ°ÑÐµÐ½Ð¸Ðµ Ð²Ð¸Ð±ÑÐ°ÑÐ¸Ð¹ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ½ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²Ð¾Ðº Ð¿Ð¾ÑÑÐ½ÐµÐ²Ð¾Ð³Ð¾ ÑÐ¸Ð¿Ð°Â». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐµÐ¹ Ð²Ð¸Ð±ÑÐ°ÑÐ¸Ð¸ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¿Ð¾ÑÑÐ½ÐµÐ²Ð¾Ð³Ð¾ ÑÐ¸Ð¿Ð°, Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ. Ð Ð°ÑÑÑÐ¸ÑÑÐ²Ð°ÑÑÑÑ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ, Ð¿ÑÐ¾ ÑÑÐ¾Ð¼ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑÑÑ Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¿Ð¾Ð´ÑÐ¾Ð´, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð½Ð° ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÐÐ°Ð³ÑÐ°Ð½Ð¶Ð° 2-Ð³Ð¾ ÑÐ¾Ð´Ð°. ÐÑÐ¸ ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸ Ð²ÑÑÐ°Ð¶ÐµÐ½Ð¸Ñ, Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð¸ÑÑÑÑÐµÐ³Ð¾ Ð¿ÑÐ¾Ð³Ð¸Ð±Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ, Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÐµÑÑÑ Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ, ÑÑÐ¾ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ ÑÐ¾Ð²ÐµÑÑÐ°ÐµÑ ÑÐ¾Ð»ÑÐºÐ¾ Ð¸Ð·Ð³Ð¸Ð±Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ. Ð Ð°ÑÑÑÐ¸ÑÑÐ²Ð°ÑÑÑÑ Ð²ÑÐ½ÑÐ¶Ð´ÐµÐ½Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»ÐµÐ¼. Ð ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐ°Ð»Ð¸ÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: 1. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÑÐµÑÐ¶Ð½ÐµÐ¹; 2. Ð Ð°ÑÑÑÑ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ; 3. Ð¡Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»ÑÐ¼Ð¸; 4. Ð Ð°ÑÑÑÑ Ð²ÑÐ½ÑÐ¶Ð´ÐµÐ½Ð½ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹; 5. ÐÑÐ±Ð¾Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¾ Ð²ÑÑÐ°Ð¶ÐµÐ½Ð¸Ðµ, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐµÐµ Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´Ñ Ð²ÑÐ½ÑÐ¶Ð´ÐµÐ½Ð½ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ ÑÐµÐ½ÑÑÐ° Ð¼Ð°ÑÑ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸, Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾Ðµ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð³Ð°ÑÐ¸ÑÐµÐ»Ñ.
description: The theme of the final qualifying work: Â«Dampening of vibrations of piston-type compressor unitsÂ». This work is devoted to the creation and application of a mathematical model that describes the vibrations of a piston-type compressor unit in order to determine the optimal position of the vibration damper. Damper eigenoscillations are calculated using a variational approach based on the Lagrange equation of the 2nd kind. When compiling an expression approximating the damper deflections, it is assumed that the damper performs only bending vibrations. The forced vibrations of the installation with a damper are calculated.During the study, the following tasks were solved: 1. Development of a damper model using the theory of rods; 2. Calculation of free oscillations of the damper; 3. Compilation of a system of differential equations for the motion of an installation with dampers; 4. Calculation of forced oscillations; 5. Choice of optimal arrangement of the damper. As a result of the study, an expression was obtained that describes the amplitude of forced oscillations of the center of mass of the structure, which is necessary to determine the optimal position of the damper.