Influence of material and internal support on natural frequencies of thin-walled cylindrical tanks

Habibi, Nabard; Ahmadi, Y.

doi:10.22061/jcarme.2020.6073.1774

تعداد نشریات	11
تعداد شماره‌ها	228
تعداد مقالات	2,321
تعداد مشاهده مقاله	3,664,138
تعداد دریافت فایل اصل مقاله	2,693,565

	Influence of material and internal support on natural frequencies of thin-walled cylindrical tanks
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 8، دوره 11، شماره 2 - شماره پیاپی 22، فروردین 2022، صفحه 381-395 اصل مقاله (1015.74 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2020.6073.1774
نویسندگان
Nabard Habibi^* ¹؛ Y. Ahmadi²
¹Mechanical Engineering Department, University of Kurdistan, Sanandaj, Iran
²Civil Engineering Department, University of Kurdistan, Sanandaj, Iran
تاریخ دریافت: 17 مهر 1398، تاریخ بازنگری: 26 خرداد 1399، تاریخ پذیرش: 27 خرداد 1399
چکیده
Water storage tanks are amongst the essential infrastructures, and the study of their natural frequencies plays a pivotal role in predicting and detecting dynamic behavior. Therefore, it helps to the uninterrupted operation of an industrial plant and the use of tank water in emergencies. This paper studies the influence of different shell materials, including steel, aluminum, and laminated composites with three types of different fiber orientations, on the natural frequencies of thin-walled aboveground water storage tanks that have pinned boundary conditions at the base. Models investigated in this paper, either the roof is without an internal support structure or else a group of columns and radial beams are used for supporting it. These huge tanks had the height to diameter ratio of 0.4, and a water surface at 90% of the height of the tank's cylinder. The thicknesses of the cylindrical shells are tapered. The tanks without internal support included the vibrations that affect the cylinder mode shapes or the roof mode shapes or simultaneously both the cylinder and roof mode shapes. On the other hand, the mode shapes of the tanks with internal support affect predominantly only the cylinder. Among the studied tanks, the third type of composite tanks had the highest rigidity, and the first type of composite tanks had the lowest rigidity. The natural frequencies related to the first modes of vibrations for cylinder and roof shells with a wide range of circumferential wave numbers (n) and an axial half-wave (m) are studied.
کلیدواژه‌ها
Natural frequency؛ Thin walled؛ Cylindrical tanks؛ Internal support؛ Composite material

مراجع
[1] T. Mazuch, J. Horacek, J. Trnka, J. Vesely, "Natural modes and frequencies of a thin clamped-free steel cylindrical tank partially filled with water: FEM and Measurement", J. Sound Vib., , Vol. 193, No.3, pp. 669-690, (1996). [2] RK Gupta, "Free vibrations of partially filled cylindrical tanks", Eng. Struct., Vol. 17, No.3, pp. 221-230, (1995). [3] Han RPS, Liu JD, "Free vibration analysis of a fluid-loaded variable thickness cylindrical tank", J. Sound Vib., Vol. 176, No.2, pp. 235-253, (1994). [4] Goncalves PB, Ramos NRSS, "Free vibration analysis of cylindrical tanks partially filled with liquid", J. Sound Vib., Vol. 195, No.3, pp. 429-444, (1996). [5] Haroun MA, Tayel MA, "Asymmetrical vibrations of tanks-analytical", J. Eng. Mech., Vol. 111, No.3, pp. 346-358, (1985). [6] Amabili M, "Shell plate interaction in the free vibrations of circular cylindrical tanks partially filled with a liquid: The artificial spring method", J. Sound Vib., Vol. 199, No.3, pp. 431-452, (1997). [7] Amabili M, Paidoussis MP, Lakis AA, "Vibrations of partially filled cylindrical tanks with ring stiffeners and flexible bottom", J. Sound Vib., Vol. 213, No.2, pp. 259-299, (1998). [8] Haroun MA, Housner GW, "Earthquake response of deformable liquid storage tanks", J. Appl. Mech. Trans ASME, Vol. 48, No.2, pp. 411-418, (1981). [9] Veletsos AS, Tang Y, Tang HT, "Dynamic-response of flexibly supported liquid storage tanks", J. Struct. Eng. ASCE, Vol. 118, No.1, pp. 264-283, (1992). [10] Virella JC, Luis A, Godoy, Luis ES, "Fundamental modes of tank-liquid systems under horizontal motions", Eng. Struct., Vol. 28, No.10, pp. 1450-1461, (2006). [11] Virella JC, Godoy LA, Suarez LE, "Influence of the roof on the natural periods of empty tanks", Eng. Struct., Vol. 25, No.7, pp. 877-887, (2003). [12] Malhotra PK, Thomas W, Martin W, "Simple procedure for seismic analysis of liquid-storage tanks", Struct. Eng. Int., Vol. 10, pp. 197-201, (2000). [13] Balendra T, Ang KK, Pramasivam P, Lee SL, "Free vibration analysis of cylindrical liquid storage tanks", J. Comp. Struct. Int. J. Mech. Sci, Vol. 24, No. 1, pp. 47-59, (1982). [14] Lam KY, Loy CT, "Influence of boundary conditions and fibre orientation on the natural frequencies of thin orthotropic laminated cylindrical shells", Compos. Struct., Vol. 31, No. 1, pp. 21-30, (1995). [15] Lam KY, Loy CT, "Influence of boundary conditions for a thin-laminated cylindrical shell", Compos. Struct., Vol. 41, No. 3-4, pp. 215-228, (1998). [16] Gunawan H, Mikami TJ, Kanie T, Sato SM, "Free vibration of fluid-filled cylindrical shells on elastic foundations", Thin Wall Struct., Vol. 43, No. 11, pp. 1746-1762, (2005). [17] Mohamad SQ, Rani WS, Wenchao W, "Recent research advances on the dynamic analysis of composite shells: 2000-2009", Compos. Struct., Vol. 93, No. 1, pp. 14-31, (2010). [18] Mohamad SQ, "Recent research advances in the dynamic behavior of shells: part I, laminated composite shells", Appl. Mech. Rev., Vol. 55, No. 4, pp. 325-350, (2002). [19] Mohamad SQ, Recent research advances in the dynamic behavior of shells, part2: Homogeneousshells, Appl. Mech. Rev., Vol. 55, No. 5, pp. 415-434, (2002). [20] Loptin, AV, Morozov EV, "Fundamental frequency of the laminated composite cylindrical shell with clamped edges", Int. J. Mech.Sci., Vol. 92, pp. 35-43, (2015). [21] Liu B, Xing YF, Mohamad QS, Ferreira, AJM, "Exact characteristic equations for free vibrations of thin orthotropic circular cylindrical shells", Compos. Struct., Vol. 94, No. 2, pp. 484-493, (2012). [22] Guoyong J, Xiang X, Yuquan Y, Shi SX, Zhigang, "Free vibration analysis of composite laminated cylindrical shells using the Haar wavelet method", Compos. Struct., Vol. 109, pp. 169-177, (2014). [23] Guoyong J, Xiang X, Yuquan Y, Shi SX, Zhigang L, "A numerical solution for vibration analysis of composite laminated conical, cylindrical shell and annular plate structures", Compos. Struct., Vol. 111, pp. 20-30, (2014). [24] Kumar, A., Sharma, K. & Dixit, A.R. "A review of the mechanical and thermal properties of graphene and its hybrid polymer nanocomposites for structural applications", J Mater Sci, Vol. 54, pp. 5992–6026 (2019). [25] Kumar, A., Sharma, K. & Dixit, A.R. " Carbon nanotube- and graphene-reinforced multiphase polymeric composites: review on their properties and applications", J. Mater Sci,Vol. 55, pp. 2682–2724 (2020). [26] Simulia DC, "Abaqus Analysis User's Manual, Dassault Syst", Pawtucket, USA, (2016). [27] Jack RV, "the behavior of shells composed of isotropic and composite materials", Kluwer Academic Publishers, Boston, (1993). [28] Eurocode 8, "Design of Structures for Earthquake Resistance, Part 4: Silos, Tanks and Pipelines (BS EN 1998-4:2006)", European Committee for Standardization, Brussels, (2006). [29] IITK-GSDMA, "Guidelines for Seismic Design of Liquid Storage Tanks", Gujarat State Disaster Management Authority Gandh inagar, Kanpur, India, (2007). [30] "Seismic design of storage tanks", New Zealand Society for Earthquake Engineering (NZSEE) Inc, Wellington, New Zealand, (2009). [31] Amabili M, "Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections", ", J. Sound Vib., Vol. 262, No. 4, pp. 921-975, (2003). [32] Williston LW, Haroun MA, Proceedings of Fourth US National Conference on Earthquake Engineering, Palm Springs, CA, "Comparison of available analytical options for cylindrical storage tank response subjected to ground motion", Vol.3, pp. 207-216, (1990).
آمار تعداد مشاهده مقاله: 1,216 تعداد دریافت فایل اصل مقاله: 761

سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب

پیوندهای مفید

آمار

Influence of material and internal support on natural frequencies of thin-walled cylindrical tanks