ﻣﮑﺎﻧﯿﮏ ﺳﺎزه ﻫﺎ و ﺷﺎره ﻫﺎ/ ﺳﺎل1398 / دوره9 / ﺷﻤﺎره2 / ﺻﻔﺤﻪ95 - 108 و ﺷﺎره ﯿﮏ ﺳﺎزه ﮑﺎ ﯽو ﯽ ﻋ ﻪ ﺠDOI: 10.22044/jsfm.2019.7459.2714 * ﻧﻮﯾﺴﻨﺪه ﻣﺴﺌﻮ ل؛ ﺗﻠﻔﻦ: 09181621459 ؛ ﻓﮑﺲ:08633670020 آدرس ﭘﺴﺖ اﻟﮑﺘﺮوﻧﯿﮏ:[email protected] ﮐﺎﻫﺶ ارﺗﻌﺎﺷﺎت ﻧﺎﺷ ﯽ از ﺟﺪا ﯾﺶ ﮔﺮداﺑﻪ ﻫﺎي ﯾﮏ اﺳﺘﻮاﻧﻪ دا ﯾﺮه اي دو درﺟﻪ آزاد ي ﺑﺮ ﻣﺒﻨﺎ ي ﻧﻮﺳﺎﻧﺎت ﭼﺮﺧﺸ ﯽ اﻣﯿﺮﺣﺴﯿﻦ رﺑﯿﻌﯽ1 *، 1 اﺳﺘﺎدﯾﺎر، داﻧﺸﮑﺪه ﻣﻬﻨﺪﺳﯽ ﻣﮑﺎﻧﯿﮏ، داﻧﺸﮕﺎه ﺻﻨﻌﺘﯽ اراك، اراك ﻣﻘﺎﻟﻪ ﻣﺴﺘﻘﻞ، ﺗﺎرﯾﺦ درﯾﺎﻓﺖ:23 / 06 / 1397 ؛ ﺗﺎرﯾﺦ ﭘﺬﯾﺮش:05 / 05 / 1398 ﭼﮑﯿﺪه در اﯾﻦ ﻣﻘﺎﻟﻪ ﯾﮏ اﺳﺘﺮاﺗﮋي ﮐﻨﺘﺮﻟﯽ ﻓﻌﺎل ﺑﺮ ﻣﺒﻨﺎي ﻧﻮﺳﺎﻧﺎت ﭼﺮﺧﺸﯽ اﺟﺒﺎري ﺑﻪ ﻣﻨﻈﻮر ﮐﺎﻫﺶ ارﺗﻌﺎﺷﺎت ﻧﺎﺷﯽ از ﺟﺮﯾﺎن روي ﯾﮏ اﺳﺘﻮاﻧﻪ داﯾﺮه اي دو درﺟﻪ آزادي در ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪه اﺳﺖ ﮐﻪ آزاداﻧﻪ در ﺟﻬﺎت ﻃﻮﻟﯽ و ﻋﺮﺿﯽ ﺣﺮﮐﺖ ﻣﯽ ﮐﻨﺪ. ﻣﻌﺎدﻻت ﺣﺎﮐﻢ ﺑﺮ ﻣﯿﺪان ﺟﺮﯾﺎن، ﻣﻌﺎدﻻت ﻧﺎوﯾﺮ اﺳﺘﻮﮐﺲ ﺗﺮاﮐﻢ ﻧﺎﭘﺬﯾﺮ دو ﺑﻌﺪي اﺳﺖ ﮐﻪ ﺑﻪ روش ﺣﺠﻢ ﻣﺤﺪود ﮔﺴﺴﺘﻪ ﺳﺎزي ﺷﺪه اﺳﺖ. ﻧﺴﺒﺖ ﻓﺮﮐﺎﻧﺴﯽ/ ، و ﻧﺮخ ﭼﺮﺧﺶα ، دو ﭘﺎراﻣﺘﺮ ﻣﻬﻢ در ﻧﻮﺳ ﺎﻧﺎت ﭼﺮﺧﺸﯽ اﺳﺘﻮاﻧﻪ ﺑﻮده ﮐﻪ ﻣﯽ ﺑﺎﯾﺴﺖ ﺑﮕﻮﻧﻪ اي ﺗﻨﻈﯿﻢ ﺷﻮﻧﺪ ﮐﻪ ﻓﺮﮐﺎﻧﺲ ﺟﺪاﯾﺶ ﮔﺮداﺑﻪ ﻫﺎ روي ﻓﺮﮐﺎﻧﺲ ﻧﻮﺳﺎﻧﺎت ﭼﺮﺧﺸﯽ اﺟﺒﺎري ﻗﻔﻞ ﺷﺪه و در ﻧﺘﯿﺠﻪ آن، داﻣﻨﻪ ارﺗﻌﺎﺷﺎت ﻋﺮﺿﯽ و ﻃﻮﻟﯽ اﺳﺘﻮاﻧﻪ ﮐﺎﻫﺶ ﭘﯿﺪا ﮐﻨﺪ. ﺑﺮ اﺳﺎس ﺷﺒﯿﻪ- ﺳﺎزي ﻫﺎي ﺟﺎﻣﻊ اﻧﺠﺎم ﮔﺮﻓﺘﻪ در اﯾﻦ ﻣﻘﺎﻟﻪ، ﺳﻪ ﺳﯿﺴﺘﻢ ﮐﻨﺘﺮل ﻓ ﻌﺎل ﺣﻠﻘﻪ ﺑﺎز ﻣﻨﺘﺨﺐ ﺑﺮاي ﺳﺮﻋﺖ ﻫﺎي ﮐﺎﻫﺶ ﯾﺎﻓﺘﻪ واﻗﻊ در ﻧﺎﺣﯿﻪ ﻗﻔﻞﺑﺮاي) ﺷﺪﮔﯽ ﻓﺮﮐﺎﻧﺴﯽ ﺑﺎ ﭘﺎراﻣﺘﺮﻫﺎي وروديrot n r 1, / : f f V 1.1 5 ( ﺑﺮاي) ، rot n r , / : f f V 1 1.3 6 ( ﺑﺮاي) وrot n r / : f f V 1, 1.5 7 ( ، ﺑﻪ ﻣﻨﻈﻮر ﮐﺎﻫﺶ ﻣﺆﺛﺮ داﻣﻨﻪ ارﺗﻌﺎﺷﺎت اﺳﺘﻮاﻧﻪ اﻧﺘﺨﺎب ﺷﺪه اﻧﺪ. اﯾﻦ ﺳﯿﺴﺘﻢ ﻫﺎ ﺗﻮاﻧﺴﺘﻪ اﻧﺪ، ﺑﯿﺸﯿﻨﻪ داﻣﻨﻪ ﭘﺎﺳﺦ ﻋﺮﺿﯽ اﺳﺘﻮاﻧﻪ را ﺑﻪ ﺗﺮﺗﯿﺐ ﺑﻪ ﻣﯿﺰان88 ، 92 و92 درﺻﺪ ﻧﺴﺒﺖ ﺑﻪ ﺣﺎﻟﺖ ﮐﻨﺘﺮل ﻧﺸﺪه ﮐﺎﻫﺶ دﻫﻨﺪ ؛ در ﺣﺎﻟﯿﮑﻪ اﯾﻦ ﻣﻘﺎدﯾﺮ ﺑﺮاي داﻣﻨﻪ ﭘﺎﺳﺦ ﻃﻮﻟﯽ اﺳﺘﻮاﻧﻪ ﺑﻪ ﺗﺮﺗﯿﺐ ﺑﺮاﺑﺮ ﺑﺎ93 ، 90 و82 درﺻﺪ ﻣﯽ ﺑﺎﺷﻨﺪ. ﮐﻠﻤﺎت ﮐﻠﯿﺪي: ارﺗﻌﺎﺷﺎت ﻧﺎﺷﯽ ازﺮ؛ ﻧﻮﺳﺎﻧﺎت ﭼﺮﺧﺸﯽ؛ ﮐﻨﺘﺮل ﻓﻌﺎل ارﺗﻌﺎﺷﺎت؛ ﺗﻌﺎﻣﻞ ﺟﺮﯾﺎن ﺟﺮﯾﺎن؛ ﭘﺪﯾﺪه ﻗﻔﻞ ﺑ- ﺳﺎزه.Vortex-Induced Vibration Annihilation of Two-Degree-of-Freedom Circular Cylinder by Rotational Oscillations A. H. Rabiee 1,* 1 Assistant Professor, Mechanical Engineering Depertment, Arak University of Technology, Arak, Iran. Abstract In this paper, an active control strategy based on the cylinder forced rotary oscillation is considered to reduce the flow-induced vibration of an elastically mounted two-degree-of-freedom circular cylinder free to vibrate in both transverse and in-line directions. The fluid flow governing equations are two-dimensional incompressible Navier-Stokes model which discretized by means of the finite volume method. The frequency ratio / , and rotation rate α, are two important adjustable parameters which must be selected in such a way that the vortex shedding frequency locked on associated rotational forcing frequency, and the cylinder transverse and in-line vibrations will be suppressed accordingly. Based on comprehensive simulations accomplished in this paper, three different active open-loop control systems is selected in order to effectively reduce the cylinder vibrations for reduced velocities in synchronization region with the following input parameters: (for =5: = 1, / = 1.1), (for = 6: = 1, / = 1.3), and (for = 7: = 1, / = 1.5). These three control systems are found to decrease the maximum transverse cylinder vibration amplitudes by 88%, 92%, and 92% while the corresponding in-line vibration amplitudes decrease by 93%, 90%, and 82%, respectively. Keywords: Flow-Induced Vibration; Lock-on Phenomenon; Rotary Oscillation; Active Vibration Control; Fluid-Solid Interaction.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
108-95صفحه / 2/ شماره 9/ دوره 1398سال / هاها و شارهمکانیک سازه
05/05/1398؛ تاریخ پذیرش: 23/06/1397تاریخ دریافت: ،مقاله مستقل
چکیده
در این مقاله یک استراتژي کنترلی فعال بر مبناي نوسانات چرخشی اجباري به منظور کاهش ارتعاشات ناشی از جریان روي یک استوانه
کند. معادالت حاکم بر میدان جریان، که آزادانه در جهات طولی و عرضی حرکت می در نظر گرفته شده استاي دو درجه آزادي دایره
و نرخ ، ��/����نسبت فرکانسی که به روش حجم محدود گسسته سازي شده است. استمعادالت ناویر استوکس تراکم ناپذیر دو بعدي
ها روي اي تنظیم شوند که فرکانس جدایش گردابهبایست بگونهانات چرخشی استوانه بوده که میدو پارامتر مهم در نوس ،αچرخش
-فرکانس نوسانات چرخشی اجباري قفل شده و در نتیجه آن، دامنه ارتعاشات عرضی و طولی استوانه کاهش پیدا کند. بر اساس شبیه
هاي کاهش یافته واقع در ناحیه قفل عال حلقه باز منتخب براي سرعتسه سیستم کنترل فهاي جامع انجام گرفته در این مقاله، سازي
rotشدگی فرکانسی با پارامترهاي ورودي (براي n r1, / : f f V 1.1 rot، (براي)5 n r, / : f f V 1 1.3 و (براي )6
rot n r / : f f V 1, 1.5 بیشینه دامنه ،اندها توانستهاین سیستماند. ، به منظور کاهش مؤثر دامنه ارتعاشات استوانه انتخاب شده)7
در حالیکه این مقادیر براي ؛درصد نسبت به حالت کنترل نشده کاهش دهند 92و 92، 88پاسخ عرضی استوانه را به ترتیب به میزان
باشند.درصد می 82و 90، 93دامنه پاسخ طولی استوانه به ترتیب برابر با
سازه.-جریان؛ پدیده قفل بر؛ نوسانات چرخشی؛ کنترل فعال ارتعاشات؛ تعامل جریانارتعاشات ناشی از :کلمات کلیدي
Vortex-Induced Vibration Annihilation of Two-Degree-of-Freedom Circular Cylinder by Rotational Oscillations
A. H. Rabiee1,* 1 Assistant Professor, Mechanical Engineering Depertment, Arak University of Technology, Arak, Iran.
Abstract In this paper, an active control strategy based on the cylinder forced rotary oscillation is considered to reduce the flow-induced vibration of an elastically mounted two-degree-of-freedom circular cylinder free to vibrate in both transverse and in-line directions. The fluid flow governing equations are two-dimensional incompressible Navier-Stokes model which discretized by means of the finite volume method. The
frequency ratio ����/��, and rotation rate α, are two important adjustable parameters which must be selected in such a way that the vortex shedding frequency locked on associated rotational forcing frequency, and the cylinder transverse and in-line vibrations will be suppressed accordingly. Based on comprehensive simulations accomplished in this paper, three different active open-loop control systems is selected in order to effectively reduce the cylinder vibrations for reduced velocities in synchronization region with the following input parameters: (for �� = 5: � = 1, ����/�� = 1.1), (for �� = 6: � = 1, ����/�� = 1.3), and (for �� = 7: � = 1, ����/�� = 1.5). These three control systems are found to decrease the maximum transverse cylinder vibration amplitudes by 88%, 92%, and 92% while the corresponding in-line vibration amplitudes decrease by 93%, 90%, and 82%, respectively.
[2] Wu X, Ge F, Hong Y (2012) A review of recent studies on vortex-induced vibrations of long slender cylinders. J Fluid Struct 28: 292-308.
[3] Chen W, Li M, Zheng Z, Guo S, Gan K (2015) Impacts of top-end vessel sway on vortex-induced
ینوسانات چرخش يبر مبنا يدو درجه آزاد ايیرهاستوانه دا یک هايگردابه یشاز جدا یکاهش ارتعاشات ناش |108
2/ شماره 9/ دوره 1398ها/ سال ها و شارهمکانیک سازه
vibration of the submarine riser for a floating platform in deep water. Ocean Eng 99: 1-8.
[4] Chen WL, Xin DB, Xu F, Li H, Ou JP, Hu H (2013) Suppression of vortex-induced vibration of a circular cylinder using suction-based flow control. J Fluid Struct 42: 25-39.
[5] Rabiee Ah, Jarrahi M, Hasheminejad SM (2015) A collaborative simulation for active flow-induced vibration control of a circular cylinder. Journal of Solid and Fluid Mechanics 5(3): 113-124. (in persian)
[6] Hasheminejad SM, Rabiee AH, Jarrahi M (2017) Semi-active vortex induced vibration control of an elastic elliptical cylinder with energy regeneration capability. Int J Struct Stab Dy 1750107.
[7] Bearman P, Branković M (2004) Experimental studies of passive control of vortex-induced vibration. Eur J Mech B-Fluid 23(1): 9-15.
[8] Bruneau CH, Mortazavi I (2008) Numerical modelling and passive flow control using porous media. Comput Fluids 37(5): 488-498.
[9] Korkischko I, Meneghini JR (2010) Experimental investigation of flow-induced vibration on isolated and tandem circular cylinders fitted with strakes. J Fluid Struct 26(4): 611-625.
[10] Hsiao F, Shyu J (1991) Influence of internal acoustic excitation upon flow passing a circular cylinder. J Fluid Struct 5(4): 427-442.
[11] Protas B, Wesfreid J (2002) Drag force in the open-loop control of the cylinder wake in the laminar regime. Phys Fluids 14(2): 810-826.
[12] Williams DR, Mansy H, Amato C (1992) The response and symmetry properties of a cylinder wake subjected to localized surface excitation. J Fluid Mech 234: 71-96.
[13] He J-W, Glowinski R, Metcalfe R, Nordlander A, Periaux J (2000) Active control and drag optimization for flow past a circular cylinder: I. Oscillatory cylinder rotation. J Comput Phys 163(1): 83-117.
[14] Bourguet R, Jacono DL (2014) Flow-induced vibrations of a rotating cylinder. J Fluid Mech 740: 342-380.
[15] Du L, Sun X (2015) Suppression of vortex-induced vibration using the rotary oscillation of a cylinder. Phys Fluids 27(2): 023603.
[16] Prasanth T, Mittal S (2008) Vortex-induced vibrations of a circular cylinder at low Reynolds numbers. J Fluid Mech 594: 463-491.
[17] Placzek A, Sigrist J-F, Hamdouni A (2009) Numerical simulation of an oscillating cylinder in a cross-flow at low Reynolds number: Forced and free oscillations. Comput Fluids 38(1): 80-100.