Vibration of the Biomass Boiler Tube Excited with Impact of the Cleaning Device

Dragan Cveticanin, Nicolae Herisanu, Istvan Biro, Miodrag Zukovic and Livija Cveticanin
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Dragan Cveticanin: Remming, B. Nusica 15, 21000 Novi Sad, Serbia
Nicolae Herisanu: Faculty of Mechanics, Polytechnic University of Timisoara, Bd. Mihai Viteazu 1, 300222 Timisoara, Romania
Istvan Biro: Faculty of Engineering, University of Szeged, 6724 Szeged, Hungary
Miodrag Zukovic: Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia
Livija Cveticanin: Doctoral School of Safety and Security Sciences, Obuda University, 1081 Budapest, Hungary

Mathematics, 2020, vol. 8, issue 9, 1-13

Abstract: 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.

Keywords: tube vibration; tube cleaning; nonlinear bending vibration; partial differential equation with impact initial condition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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