Free vibrations of fluid conveying pipe with intermediate support
Yıl: 2016 Cilt: 2 Sayı: 2 Sayfa Aralığı: 75 - 87 Metin Dili: İngilizce DOI: 10.17515/resm2015.18me0825 İndeks Tarihi: 27-01-2020
Free vibrations of fluid conveying pipe with intermediate support
Öz: In this study, linear vibration of fluid carrying pipe with intermediate supportwas discussed. Supports located at the ends of the pipe were clamped supports.A support was located in the o0middle section show the features of a simplesupport. It was accepted that the fluid velocity varied harmonically by anaverage speed. The equation of motion and limit conditions of the system wereobtained by using Hamilton principle. The solutions were obtained using theMultiple Scale Method, which is one of the Perturbation Methods. The first termin the perturbation series causes the linear problem. Exact natural frequencieswere calculated by the solution of the linear problem for the different positionsof the support at the center (η), different longitudinal stiffness (vb), different pipecoefficient (vf), different rate of fullness (β) and natural frequencies dependingon velocity of the fluid (v0) were calculated exactly. The obtained results wereshown in graphics.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Benjamin TB. Dynamics of a system of articulated pipes conveying fluid. I. Theory. Proceedings of Royal Society A Mathematical Physical Engineering Sciences, 1961;261:457–486.
- Ulsoy AG, Mote CD., Szymani R. Principal developments in band saw vibration and stability research. Holz als Roh-und Werkstoff 1978;36:273–280. http://dx.doi.org/10.1007/BF02610748
- Pakdemirli M, Batan H. Dynamic Stability of a constantly accelerating strip. Journal of Sound and Vibration, 1993;168:371–378. http://dx.doi.org/10.1006/jsvi.1993.1379
- Nayfeh AH. Introduction to perturbation techniques. John Wiley, New York, 1981.
- Pakdemirli M, Ulsoy AG, Ceranoglu A. Transverse vibration of an axially accelerating string. Journal of Sound and Vibration, 1994;169:179–196. http://dx.doi.org/10.1006/jsvi.1994.1012
- Pakdemirli M, Nayfeh SA, Nayfeh AH. Analysis of one-to-one autoparametric resonances in cables- discretization vs. direct treatment. Nonlinear Dynamics, 1995;8:65-83. http://dx.doi.org/10.1007/978-94-011-0367-1_4
- Pakdemirli M, Ulsoy AG. Stability analysis of an axially accelerating string. Journal of Sound and Vibration, 1997;203:815–832. http://dx.doi.org/10.1006/jsvi.1996.0935
- Mulcahy TM. A review of leakage-flow-induced vibrations of reactor components. Components Technol. Div. ANL 1983;83-43.
- Mulcahy TM. Leakace-flow-induced vibration of a tube-in-tube slip joint. Components Technol. Div. ANL-1983;83-56.
- Chen SS, Cai Y, Zhu S. Flow-induced vibration of tubes in cross-flow. Journal Offshore Mechanics and Arctic Engineering, 1996;118:253–258.
- Lee SY, Mote CD. A generalized treatment of the energetics of translating continua, part II: beams and fluid conveying pipes. Journal of Sound and Vibration, 1997;204:735–753. http://dx.doi.org/10.1006/jsvi.1996.0946
- Paidoussis MP, Semler C. Non-linear dynamics of a fluid-conveying cantilevered pipe with a small mass attached at the free end. International Journal of Non-Linear Mechanics, 1998;33:15–32.
- Ridvan H, Boyaci H. Transverse vibrations of tensioned pipes conveying fluid with time-dependent velocity. Journal of Sound and Vibration, 2000;236:259–276. http://dx.doi.org/10.1006/jsvi.2000.2985
- Özkaya E, Pakdemirli M. Vibrations of an axially accelerating beam with small flexural stiffness. Journal of Sound and Vibration, 2000;234:521–535. http://dx.doi.org/10.1006/jsvi.2000.2890
- Özkaya E. Linear transverse vibrations of a simply supported beam carrying concentrated masses. Mathematical and Computational Applications, 2001;6:147– 151.
- Wang XQ, So RMC , Liu Y. Flow-induced vibration of an Euler–Bernoulli beam. Journal of Sound and Vibration, 2001;243,241–268. http://dx.doi.org/10.1006/jsvi.2000.3342
- Öz HR, Evrensel CA. Natural frequencies of tensioned pipes conveying fluid and carrying a concentrated mass. Journal of Sound and Vibration, 2002;250;368–377. http://dx.doi.org/10.1006/jsvi.2001.3764
- Öz HR. Natural frequencies of fluid conveying tensioned pipes and carrying a stationary mass under different end conditions. Journal of Sound and Vibration, 2002;253:507–517. http://dx.doi.org/10.1006/jsvi.2001.4010
- Wang XQ, So RMC, Chan KT. A non-linear fluid force model for vortex-induced vibration of an elastic cylinder. Journal of Sound and Vibration, 2003;260:287–305. http://dx.doi.org/10.1016/S0022-460X(02)00945-8
- Modarres-Sadeghi Y, Païdoussis MP. Nonlinear dynamics of extensible fluidconveying pipes, supported at both ends. Journal of Fluids and Structures 2009,25:535–543. http://dx.doi.org/10.1016/j.jfluidstructs.2008.09.005
- Wang L, Dai HL, Qian Q. Dynamics of simply supported fluid-conveying pipes with geometric imperfections. Journal of Fluids Structures, 2012,29:97–106. http://dx.doi.org/10.1016/j.jfluidstructs.2011.12.013
- Nikolić M, Rajković M. Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends. Journal of Fluids Structures, 2006;22:173–195. http://dx.doi.org/10.1016/j.jfluidstructs.2005.09.009
- Enz S. Effect of asymmetric actuator and detector position on Coriolis flowmeter and measured phase shift. Flow Measurement and Instrumentation, 2010;21:497–503.
- Ritto TG, Soize C, Rochinha FA, Sampaio R. Dynamic stability of a pipe conveying fluid with an uncertain computational model. Journal of Fluids Structures, 2014,49:412– 426. http://dx.doi.org/10.1016/j.jfluidstructs.2014.05.003
- Dai HL, Wang L, Qian Q, Ni Q. Vortex-induced vibrations of pipes conveying pulsating fluid. Ocean Engineering, 2014;77:12–22. http://dx.doi.org/10.1016/j.oceaneng.2013.12.006
- Kheiri M, Païdoussis MP, Del Pozo GC , Amabili M. Dynamics of a pipe conveying fluid flexibly restrained at the ends. Journal of Fluids Structures, 2014;49:360–385. http://dx.doi.org/10.1016/j.jfluidstructs.2013.11.023
- Chen LQ, Zhang YL, Zhang GC, Ding H. Evolution of the double-jumping in pipes conveying fluid flowing at the supercritical speed. International Journal of Non-Linear Mechanics, 2014;58:11–21.
- Li S, Liu G, Kong W. Vibration analysis of pipes conveying fluid by transfer matrix method. Nuclear Engineering and Design, 2014;266:78–88.
- Kheiri M, Païdoussis MP. On the use of generalized Hamilton׳s principle for the derivation of the equation of motion of a pipe conveying fluid. Journal of Fluids Structures, 2014;50:18-24.
- Yang X, Yang T, Jin J. Dynamic stability of a beam-model viscoelastic pipe for conveying pulsative fluid. Acta Mechanica Solida Sinica, 2007;20:350–356. http://dx.doi.org/10.1007/s10338-007-0741-x
- Ghayesh MH, Païdoussis MP, Amabili M. Nonlinear dynamics of cantilevered extensible pipes conveying fluid. Journal of Sound and Vibration, 2013;332:6405– 6418. http://dx.doi.org/10.1016/j.jsv.2013.06.026
- Kesimli A, Özkaya E, Bağdatli SM. Nonlinear vibrations of spring-supported axially moving string. Nonlinear Dynamics, 2015;81:1523–1534. http://dx.doi.org/10.1007/s11071-015-2086-1
- Zhang YL, Chen LQ. External and internal resonances of the pipe conveying fluid in the supercritical regime. Journal of Sound and Vibration, 2013;332:2318–2337. http://dx.doi.org/10.1016/j.jsv.2012.12.010
- Modarres-Sadeghi Y, Païdoussis MP. Chaotic oscillations of long pipes conveying fluid in the presence of a large end-mass. Computers & Structures, 2013,122:192–201. http://dx.doi.org/10.1016/j.compstruc.2013.02.005
- Banerjee JR. Free vibration of beams carrying spring-mass systems - A dynamic stiffness approach. Computers & Structures, 2012;104-105: 21–26.
- Yi-Min H, Seng G, Wei W, Jie H. A direct method of natural frequency analysis on pipeline conveying fluid with both ends supported. Nuclear Engineering and Design, 2012; 253: 12–22.
- Lee K, Cho Y, Chung J. Dynamic contact analysis of a tensioned beam with a moving massspring system. Journal of Sound and Vibration, 2012;331:2520–2531. http://dx.doi.org/10.1016/j.jsv.2012.01.014
- Baǧdatli SM, Özkaya E, Öz HR. Dynamics of axially accelerating beams with multiple supports. Nonlinear Dynamics, 2013;74:237–255. http://dx.doi.org/10.1007/s11071-013-0961-1
- Ghayesh MH, Païdoussis MP, Modarres-Sadeghi Y. Three-dimensional dynamics of a fluid-conveying cantilevered pipe fitted with an additional spring-support and an endmass. Journal of Sound and Vibration, 2011;330:2869–2899. http://dx.doi.org/10.1016/j.jsv.2010.12.023
- Ni Q, Zhang ZL, Wang L. Application of the differential transformation method to vibration analysis of pipes conveying fluid. Applied Mathematics and Computation, 2011;217:7028–7038.
- Li B, Gao H, Zhai H, Liu Y, Yue Z. Free vibration analysis of multi-span pipe conveying fluid with dynamic stiffness method. Nuclear Engineering and Design, 2011;241:666– 671.
- Bağdatli SM, Özkaya E, Öz HR. Dynamics of axially accelerating beams with an intermediate support. Journal Vibration and Acoustics, 2011;133: 031013.
| APA | KESİMLİ A, BAĞDATLI S, ÇANAKCI S (2016). Free vibrations of fluid conveying pipe with intermediate support. , 75 - 87. 10.17515/resm2015.18me0825 |
| Chicago | KESİMLİ Ahmet,BAĞDATLI SÜLEYMAN MURAT,ÇANAKCI Seyit Free vibrations of fluid conveying pipe with intermediate support. (2016): 75 - 87. 10.17515/resm2015.18me0825 |
| MLA | KESİMLİ Ahmet,BAĞDATLI SÜLEYMAN MURAT,ÇANAKCI Seyit Free vibrations of fluid conveying pipe with intermediate support. , 2016, ss.75 - 87. 10.17515/resm2015.18me0825 |
| AMA | KESİMLİ A,BAĞDATLI S,ÇANAKCI S Free vibrations of fluid conveying pipe with intermediate support. . 2016; 75 - 87. 10.17515/resm2015.18me0825 |
| Vancouver | KESİMLİ A,BAĞDATLI S,ÇANAKCI S Free vibrations of fluid conveying pipe with intermediate support. . 2016; 75 - 87. 10.17515/resm2015.18me0825 |
| IEEE | KESİMLİ A,BAĞDATLI S,ÇANAKCI S "Free vibrations of fluid conveying pipe with intermediate support." , ss.75 - 87, 2016. 10.17515/resm2015.18me0825 |
| ISNAD | KESİMLİ, Ahmet vd. "Free vibrations of fluid conveying pipe with intermediate support". (2016), 75-87. https://doi.org/10.17515/resm2015.18me0825 |
| APA | KESİMLİ A, BAĞDATLI S, ÇANAKCI S (2016). Free vibrations of fluid conveying pipe with intermediate support. Research on Engineering Structures and Materials, 2(2), 75 - 87. 10.17515/resm2015.18me0825 |
| Chicago | KESİMLİ Ahmet,BAĞDATLI SÜLEYMAN MURAT,ÇANAKCI Seyit Free vibrations of fluid conveying pipe with intermediate support. Research on Engineering Structures and Materials 2, no.2 (2016): 75 - 87. 10.17515/resm2015.18me0825 |
| MLA | KESİMLİ Ahmet,BAĞDATLI SÜLEYMAN MURAT,ÇANAKCI Seyit Free vibrations of fluid conveying pipe with intermediate support. Research on Engineering Structures and Materials, vol.2, no.2, 2016, ss.75 - 87. 10.17515/resm2015.18me0825 |
| AMA | KESİMLİ A,BAĞDATLI S,ÇANAKCI S Free vibrations of fluid conveying pipe with intermediate support. Research on Engineering Structures and Materials. 2016; 2(2): 75 - 87. 10.17515/resm2015.18me0825 |
| Vancouver | KESİMLİ A,BAĞDATLI S,ÇANAKCI S Free vibrations of fluid conveying pipe with intermediate support. Research on Engineering Structures and Materials. 2016; 2(2): 75 - 87. 10.17515/resm2015.18me0825 |
| IEEE | KESİMLİ A,BAĞDATLI S,ÇANAKCI S "Free vibrations of fluid conveying pipe with intermediate support." Research on Engineering Structures and Materials, 2, ss.75 - 87, 2016. 10.17515/resm2015.18me0825 |
| ISNAD | KESİMLİ, Ahmet vd. "Free vibrations of fluid conveying pipe with intermediate support". Research on Engineering Structures and Materials 2/2 (2016), 75-87. https://doi.org/10.17515/resm2015.18me0825 |
