Simulation of forced vibration of a wedge pair under the impact of variable force

The forced oscillations of a wedge pair under the effect of a variable force are investigated in the article. The general solution to the differential equation of forced oscillations of a wedge pair is chosen in the form depending on some unknown function. An equation for this function is obtained f...

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Main Authors: Khudjaev Mukhiddin, Rizaev Anvar, Pirnazarov Gulomjon, Mirzaeva Musallam
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/50/e3sconf_interagromash2023_02051.pdf
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author Khudjaev Mukhiddin
Rizaev Anvar
Pirnazarov Gulomjon
Mirzaeva Musallam
author_facet Khudjaev Mukhiddin
Rizaev Anvar
Pirnazarov Gulomjon
Mirzaeva Musallam
author_sort Khudjaev Mukhiddin
collection DOAJ
description The forced oscillations of a wedge pair under the effect of a variable force are investigated in the article. The general solution to the differential equation of forced oscillations of a wedge pair is chosen in the form depending on some unknown function. An equation for this function is obtained for the cosine form of the virtual displacement of the wedge under longitudinal displacement. This equation is obtained on the basis of the principle of virtual work of inertial forces, elastic forces, and external dynamic forces with virtual displacement. As a result, the solution to the differential equation of forced vibrations of a wedge pair under a variable longitudinal external force was obtained, and calculations were performed on the basis of the obtained solution. Research methods are based on the principle of virtual displacement, the method of mathematical modeling, and the analytical method of their solutions.
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spelling doaj.art-f85ff1f03edc4c898e8c6dfb123d39302023-08-21T09:02:17ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014130205110.1051/e3sconf/202341302051e3sconf_interagromash2023_02051Simulation of forced vibration of a wedge pair under the impact of variable forceKhudjaev Mukhiddin0Rizaev Anvar1Pirnazarov Gulomjon2Mirzaeva Musallam3Tashkent State Technical University named after Islam KarimovInstitute of Mechanics and Seismic Stability of Structures of the Academy of Sciences of the Republic of UzbekistanTashkent State Transport UniversityInstitute of Mechanics and Seismic Stability of Structures of the Academy of Sciences of the Republic of UzbekistanThe forced oscillations of a wedge pair under the effect of a variable force are investigated in the article. The general solution to the differential equation of forced oscillations of a wedge pair is chosen in the form depending on some unknown function. An equation for this function is obtained for the cosine form of the virtual displacement of the wedge under longitudinal displacement. This equation is obtained on the basis of the principle of virtual work of inertial forces, elastic forces, and external dynamic forces with virtual displacement. As a result, the solution to the differential equation of forced vibrations of a wedge pair under a variable longitudinal external force was obtained, and calculations were performed on the basis of the obtained solution. Research methods are based on the principle of virtual displacement, the method of mathematical modeling, and the analytical method of their solutions.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/50/e3sconf_interagromash2023_02051.pdf
spellingShingle Khudjaev Mukhiddin
Rizaev Anvar
Pirnazarov Gulomjon
Mirzaeva Musallam
Simulation of forced vibration of a wedge pair under the impact of variable force
E3S Web of Conferences
title Simulation of forced vibration of a wedge pair under the impact of variable force
title_full Simulation of forced vibration of a wedge pair under the impact of variable force
title_fullStr Simulation of forced vibration of a wedge pair under the impact of variable force
title_full_unstemmed Simulation of forced vibration of a wedge pair under the impact of variable force
title_short Simulation of forced vibration of a wedge pair under the impact of variable force
title_sort simulation of forced vibration of a wedge pair under the impact of variable force
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/50/e3sconf_interagromash2023_02051.pdf
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