ارتعاش اجباری پوسته‌ی استوانه‌ای سه‌لایه با هسته آگزتیک حاوی سیال تحت‌تأثیر بار ضربه‌ای با استفاده از تئوری‌های تغییر شکل برشی مرتبه بالا

نوع مقاله : مقاله پژوهشی

نویسندگان

مهندسی مکانیک/دانشگاه اراک/اراک/ایران

چکیده
به دلیل استفاده روزافزون از انواع مواد نوین از جمله ساختارهای آگزتیک، بررسی پدیده‌های مکانیکی نظیر پدیده‌ی ارتعاش در سازه‌های ساخته شده از این نوع مواد، ضروری به نظر می‌رسد. مقاله حاضر، ارتعاشات اجباری پوسته استوانه‌ای سه‌لایه، حاوی سیال غیرلزج و تحت بار ضربه‌ای را بررسی می‌کند. هر سه‌لایه از جنس آلومینیوم و لایه مرکزی ساخته شده از ساختار آگزتیک لانه‌زنبوری درون رو لحاظ شده است. در این مقاله، با استفاده از نظریه‌های تغییر شکل برشی مرتبه بالا و اصل همیلتون معادلات حاکم بر سیستم استخراج شده و از روش باقیمانده وزنی گالرکین حل شده‌اند. معیار اعتبارسنجی پاسخ‌ها، خروجی‌های نرم‌افزار المان محدود آباکوس است. سیستم با هر دو شرایط مرزی تکیه‌گاه ساده و تکیه‌گاه گیردار بررسی می‌شود. در انتها، تأثیر عامل‌های هندسی تشکیل‌دهنده‌ی پوسته و ساختار آگزتیک، نوع، شدت، مدت‌زمان اعمال و محل قرارگرفتن بار و اثر سیال بر پاسخ دینامیکی و پاسخ زمانی، به‌صورت نمودار ارائه شده و مورد تجزیه‌وتحلیل قرار می‌گیرد.

کلیدواژه‌ها


عنوان مقاله English

Forced vibration of a three-layer cylindrical shell with an auxetic core containing fluid under the influence of shock load using high-order shear deformation theories

نویسندگان English

Korosh Khorshidi
saboor savvafi
Sadegh Zobeid
Department of mechanical engineering/Arak University/Arak/Iran
چکیده English

Due to the increasing use of new materials, such as auxetic structures, it is necessary to investigate mechanical phenomena, such as vibration, in structures made of these types of materials. This paper examines the forced vibrations of a three-layer cylindrical shell containing inviscid fluid under shock load. All three layers are made of aluminum, and the central layer is made of a re-entrant honeycomb cell structure. Using high-order shear deformation theories (HSDT) and Hamilton’s principle, the governing equations of the system have been extracted and solved by the Galerkin weighted residual method. The outputs of the Abaqus finite element software are used to validate the results. The system is investigated with both simple and clamped support conditions. Finally, this study investigates the influence of the geometrical parameters of the shell and the auxetic structure, as well as the type, intensity, duration, and location of the load, and the effect of the fluid on the dynamic and time responses.

کلیدواژه‌ها English

Force vibration
Cylindrical shell
Auxetic structure
Inviscid fluid
Shock load
[1] Lakes R. Foam structures with a negative Poisson's ratio. Science. 1987;235:1038-40.
[2] Evans KE, Nkansah M, Hutchinson I, Rogers S. Molecular network design. Nature. 1991;353:124.
[3] Imbalzano G, Tran P, Ngo TD, Lee PV. A numerical study of auxetic composite panels under blast loadings. Composite Structures. 2016;135:339-52.
[4] Donoghue J, Alderson K, Evans K. The fracture toughness of composite laminates with a negative Poisson's ratio. physica status solidi (b). 2009;246:2011-7.
[5] Lim T-C, Rajendra Acharya U. Longitudinal modulus of semi-auxetic unidirectional fiber composites. Journal of reinforced plastics and composites. 2010;29:1441-5.
[6] Bhullar S, Ko J, Ahmed F, Jun M. Design and fabrication of stent with negative Poisson’s ratio. International Journal of Mechanical and Mechatronics Engineering. 2014;8:448-54.
[7] Gatt R, Mizzi L, Azzopardi JI, Azzopardi KM, Attard D, Casha A, et al. Hierarchical auxetic mechanical metamaterials. Scientific reports. 2015;5:8395.
[8] Alderson A. A triumph of lateral thought. Chemistry & Industry. 1999;17:384-91.
[9] Larsen UD, Signund O, Bouwsta S. Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio. Journal of microelectromechanical systems. 1997;6:99-106.
[10] Chen G, Cheng Y, Zhang P, Liu J, Chen C, Cai S. Design and modelling of auxetic double arrowhead honeycomb core sandwich panels for performance improvement under air blast loading. Journal of Sandwich Structures & Materials. 2021;23:3574-605.
[11] Rad MS, Hatami H, Ahmad Z, Yasuri AK. Analytical solution and finite element approach to the dense reentrant unit cells of auxetic structures. Acta Mechanica. 2019;230:2171-85.
[12] Lan X, Feng S, Huang Q, Zhou T. A comparative study of blast resistance of cylindrical sandwich panels with aluminum foam and auxetic honeycomb cores. Aerospace Science and Technology. 2019;87:37-47.
[13] Quan TQ, Anh VM, Mahesh V, Duc ND. Vibration and nonlinear dynamic response of imperfect sandwich piezoelectric auxetic plate. Mechanics of Advanced Materials and Structures. 2022;29:127-37.
[14] Ma Z-D, Bian H, Sun C, Hulbert GM, Bishnoi K, Rostam-Abadi F. Functionally-graded NPR (Negative Poisson’s Ratio) material for a blast-protective deflector. Proceedings of the 2010 NDIA Ground Vehicle Systems Engineering and Technology Symposium Modeling & Simulation, Testing and Validation MiniSymposium, Dearborn, MI, USA2010. p. 17-9.
[15] Duc ND, Seung-Eock K, Cong PH, Anh NT, Khoa ND. Dynamic response and vibration of composite double curved shallow shells with negative Poisson's ratio in auxetic honeycombs core layer on elastic foundations subjected to blast and damping loads. International Journal of Mechanical Sciences. 2017;133:504-12.
[16] Duc ND, Seung-Eock K, Tuan ND, Tran P, Khoa ND. New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer. Aerospace Science and Technology. 2017;70:396-404.
[17] Zhang X-W, Yang D-Q. Numerical and experimental studies of a light-weight auxetic cellular vibration isolation base. Shock and Vibration. 2016;2016.
[18] Jin X, Wang Z, Ning J, Xiao G, Liu E, Shu X. Dynamic response of sandwich structures with graded auxetic honeycomb cores under blast loading. Composites Part B: Engineering. 2016;106:206-17.
[19] Tran P. Nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer using Reddy's FSDT subjected to mechanical, blast and damping loads. European Journal of Mechanics-A/Solids. 2017;20:692-717.
[20] Novak N, Starčevič L, Vesenjak M, Ren Z. Blast response study of the sandwich composite panels with 3D chiral auxetic core. Composite Structures. 2019;210:167-78.
[21] Amabili M. Free vibration of partially filled, horizontal cylindrical shells. Journal of Sound and Vibration. 1996;191:757-80.
[22] Toorani M, Lakis A. Shear deformation in dynamic analysis of anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid. Computer Methods in Applied Mechanics and Engineering. 2001;190:4929-66.
[23] Tj HG, Mikami T, Kanie S, Sato M. Free vibrations of fluid-filled cylindrical shells on elastic foundations. Thin-walled structures. 2005;43:1746-62.
[24] Jam J, Nikjoo M. Buckling and free vibrations of cylindrical stiffened composite shells with internal liquid. Res J Appl Sci Eng Technol. 2013;6:3495-505.
[25] Khorshidi K, Karimi M. Analytical modeling for vibrating piezoelectric nanoplates in interaction with inviscid fluid using various modified plate theories. Ocean Engineering. 2019;181:267-80.
[26] Sheng G, Wang X. Thermomechanical vibration analysis of a functionally graded shell with flowing fluid. European Journal of Mechanics-A/Solids. 2008;27:1075-87.
[27] Zhu X, Zhang J, Zhang W, Chen J. Vibration frequencies and energies of an auxetic honeycomb sandwich plate. Mechanics of Advanced Materials and Structures. 2019;26:1951-7.
[28] Fu T, Hu X, Yang C. Impact response analysis of stiffened sandwich functionally graded porous materials doubly-curved shell with re-entrant honeycomb auxetic core. Applied Mathematical Modelling. 2023;124:553-75.
[29] Hajmohammad MH, Nouri AH, Zarei MS, Kolahchi R. A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment. Engineering with Computers. 2019;35:1141-57.
[30] Kim Y-W, Lee Y-S, Ko S-H. Coupled vibration of partially fluid-filled cylindrical shells with ring stiffeners. Journal of Sound and Vibration. 2004;276:869-97.
[31] Khorshidi K. Effect of hydrostatic pressure and depth of fluid on the vibrating rectangular plates partially in contact with a fluid. Applied Mechanics and Materials. 2012;110:927-35.
[32] Kayran A. Free vibration analysis of laminated composite shells of revolution including transverse shear deformation: University of Delaware, 1990.
دوره 3، شماره 4
زمستان 1402
صفحه 432-465

  • تاریخ دریافت 28 آذر 1402
  • تاریخ بازنگری 24 دی 1402
  • تاریخ پذیرش 16 بهمن 1402