Abstract
Vibrations due to mechanical excitation and internal and external fluid flow can cause fatigue in pipelines and leaks in fittings. A beam-based dynamic vibration absorber (beam DVA) is a device comprising an L-shaped beam with a concentrated mass at its free end that can be used to absorb and dissipate vibrations in the pipeline. In this paper, a mathematical equation is extracted to design the beam DVA using the dimensional analysis (DA) method and data recorded from 120 experimental tests. In the experimental studies, the pipes are fabricated in 1-inch, 2-inch, and 3-inch sizes. Each pipe is subjected to harmonic excitation at different frequencies, and the amplitude of vibration of the pipe is evaluated by changes in the geometric characteristics of beam DVA and concentrated mass. The proposed methodology is validated using the finite element method and simulation in the SIMULINK/MATLAB. The results showed that, out of the nine effective dimensionless parameters identified in pipe vibration control, mass ratio and stiffness ratio have the highest and lowest impacts on pipe vibration absorption, respectively.
Highlights
Pipeline structures are used in oil and gas industries, petroleum industries, power plants, and chemical factories
To derive the natural frequencies of the pipe using the Euler–Bernoulli beam theory, first, the equations of motion of the transverse pipe vibrations are extracted as partial differential equations (PDEs) and the boundary conditions governing simple support are applied. e natural frequencies are obtained by solving the differential equations by the separation of variables. e first two natural frequencies of 1′′, 2′′, and 3′′ pipes with the specifications listed in Table 1 are 9.43 (37.72) Hz, 17.02 (68.08) Hz, and 25.40 (101.60) Hz, respectively. e first mode has the lowest frequency and the largest displacement. erefore, this paper studies the first vibration mode, which is the most important one
The beam DVA was proposed to reduce the vibration of the pipeline structures
Summary
Pipeline structures are used in oil and gas industries, petroleum industries, power plants, and chemical factories. Syaiful et al [7] presented a simple support beam theory model with dynamic mass absorber, spring, and damper. E results show that the displacement amplitude decreases by about 30% with increasing vibration absorber to the beam. The natural frequencies and mode shapes in the beam were measured using modal analysis; the effect of the location of the absorbers on the beam was studied in terms of vibrational properties. E influence of fluid velocity on natural frequencies was extracted using the ABAQUS software for three different pipe support materials: thermocol, foam, and springs with a stiffness of 54 N/mm. When the mass fluctuations exceed a certain level, the beam bends and hits the viscoelastic material As a result, it depletes the kinetic energy and reduces the pipeline vibration. Forty items in a 3′′ pipe in an excitation frequency range of 17–25 Hz, concentrated mass range of 2.5–14.5 kg, and threaded rods M8, M10, and M12
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