Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device
In boilers with biomass fuel, a significant problem is caused due to the slag layer formed from the unburned particles during combustion. In the paper, a tube cleaning method from slag is proposed. The method is based on the impact effect of the end of the tube with the aim to produce vibration for...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1519 |
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| author | Dragan Cveticanin Nicolae Herisanu Istvan Biro Miodrag Zukovic Livija Cveticanin |
| author_facet | Dragan Cveticanin Nicolae Herisanu Istvan Biro Miodrag Zukovic Livija Cveticanin |
| author_sort | Dragan Cveticanin |
| collection | DOAJ |
| description | In boilers with biomass fuel, a significant problem is caused due to the slag layer formed from the unburned particles during combustion. In the paper, a tube cleaning method from slag is proposed. The method is based on the impact effect of the end of the tube with the aim to produce vibration for slag elimination. The tube is modeled as a clamped-free nonlinear oscillatory system. The initial impact of the tube causes vibrations. The mathematical model of the system is a nonlinear partial differential equation with zero initial deflection. To obtain the ordinary differential equations, the Galerkin method is applied. By discretizing the equation into a finite degree of freedom system, using the undamped linear mode shapes of the straight beam as basic functions, the reduced order model, consisting of ordinary differential equations in time, is obtained. The ordinary time equations are analytically solved by adopting the Krylov–Bogoliubov procedure. Special cases of nonlinear differential equations are investigated. In the paper, the influence of the nonlinear parameters and initial conditions on the vibration properties of the tube is obtained. We use the procedure developed in the paper and the analytical results for computation of the impact parameters of the cleaning device. |
| first_indexed | 2024-03-10T16:31:55Z |
| format | Article |
| id | doaj.art-6ed23ef9a5584428b9c071dbac305293 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T16:31:55Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-6ed23ef9a5584428b9c071dbac3052932023-11-20T12:44:47ZengMDPI AGMathematics2227-73902020-09-0189151910.3390/math8091519Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning DeviceDragan Cveticanin0Nicolae Herisanu1Istvan Biro2Miodrag Zukovic3Livija Cveticanin4Remming, B. Nusica 15, 21000 Novi Sad, SerbiaFaculty of Mechanics, Polytechnic University of Timisoara, Bd. Mihai Viteazu 1, 300222 Timisoara, RomaniaFaculty of Engineering, University of Szeged, 6724 Szeged, HungaryFaculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, SerbiaDoctoral School of Safety and Security Sciences, Obuda University, 1081 Budapest, HungaryIn boilers with biomass fuel, a significant problem is caused due to the slag layer formed from the unburned particles during combustion. In the paper, a tube cleaning method from slag is proposed. The method is based on the impact effect of the end of the tube with the aim to produce vibration for slag elimination. The tube is modeled as a clamped-free nonlinear oscillatory system. The initial impact of the tube causes vibrations. The mathematical model of the system is a nonlinear partial differential equation with zero initial deflection. To obtain the ordinary differential equations, the Galerkin method is applied. By discretizing the equation into a finite degree of freedom system, using the undamped linear mode shapes of the straight beam as basic functions, the reduced order model, consisting of ordinary differential equations in time, is obtained. The ordinary time equations are analytically solved by adopting the Krylov–Bogoliubov procedure. Special cases of nonlinear differential equations are investigated. In the paper, the influence of the nonlinear parameters and initial conditions on the vibration properties of the tube is obtained. We use the procedure developed in the paper and the analytical results for computation of the impact parameters of the cleaning device.https://www.mdpi.com/2227-7390/8/9/1519tube vibrationtube cleaningnonlinear bending vibrationpartial differential equation with impact initial condition |
| spellingShingle | Dragan Cveticanin Nicolae Herisanu Istvan Biro Miodrag Zukovic Livija Cveticanin Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device Mathematics tube vibration tube cleaning nonlinear bending vibration partial differential equation with impact initial condition |
| title | Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device |
| title_full | Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device |
| title_fullStr | Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device |
| title_full_unstemmed | Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device |
| title_short | Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device |
| title_sort | vibration of the biomass boiler tube excited with impact of the cleaning device |
| topic | tube vibration tube cleaning nonlinear bending vibration partial differential equation with impact initial condition |
| url | https://www.mdpi.com/2227-7390/8/9/1519 |
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