آنالیز ارتعاش ساندویچ پنل با رویکرد شبیه‌سازی همگن با تجزیه و تحلیل مودال

نوع مقاله : مقاله مکانیک

نویسندگان

1 دانشجوی کارشناسی ارشد مهندسی مکانیک ، دانشکده مهندسی شهید نیکبخت، دانشگاه سیستان و بلوچستان، زاهدان، ایران

2 استادیار، گروه مهندسی مکانیک، دانشکده مهندسی شهید نیکبخت، دانشگاه سیستان و بلوچستان، زاهدان، ایران

چکیده

سازه های ساندویچ­پنل با هسته­های متنوع چه از نظر هندسی و چه از نظر نوع و جنس صفحات، امروزه در صنعت بسیار پرکاربرد، مفید و نیز دارای پتانسیل به جهت ارتقا هستند. در پژوهش حاضر سازه ساندویچ­پنل با صفحات آلومینیومی و هسته از جنس اسیدپلی­لاکتیک و نیز با هندسه کاروگیت از نوع لانه­زنبوری، ساخته شده است و عینا در نرم­افزار کتیا طراحی و شبیه­سازی شده و سپس در نرم­افزار آباکوس مورد بررسی ارتعاشاتی قرار گرفته است. شبیه­سازی در دو حالت شبیه­سازی کاملا مشابه و در حالت همگن­سازی شده صورت گرفته است. در حالت همگن­­سازی، هسته لانه­زنبوری که از جنس اسیدپلی­لاکتیک است و دارای خاصیت ایزوتروپیک میباشد، به یک صفحه مسطح با خواص ارتوتروپیک معادلسازی شده است. به جهت اعتبار­سنجی شبیه­سازی نرم­افزاری، آزمایش تجربی مودال نیز بر روی نمونه انجام شده، و نیز نتایج آزمون مودال در نرم­افزار N-modal  تحلیل شده و نتایج تحلیلی با نتایج آزمون مودال مقایسه شده­اند. همچنین نتایج شبیه­سازی دارای اتصالات چسبی بدون لحاظ­کردن اتصالات چسبی با یکدیگر مقایسه شده­اند که نشان میدهد اتصالات چسبی تاثیر چندانی بر شکل مود­ها و فرکانس ارتعاشات ازاد (کمتر از 1/1 درصد) نمی­گذارند. نتایج شبیه­سازی و نیز آنالیز مودال حاکی از ضریب خطای کمتر از %7          می­باشد. میتوان از تکنیک همگن­سازی ارائه­شده برای هموارتر کردن مسیر شبیه­سازی، کاهش زمان لازم و نیز پیچیدگی مسائل استفاده کرد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Vibration Analysis of Sandwich Panel Structures: A Homogenized Simulation Approach with Modal Analysis

نویسندگان [English]

  • Amir Reza Mousavi 1
  • Amir Hossein Kazemian 2
1 Master Student of Mechanical Engineer,University of Sistan And Baluchestan, Zahedan, Iran
2 Assistant professor,Faculty Member of Mechanical Engineering,University of Sistan And Baluchestan, Zahedan, Iran
چکیده [English]

Sandwich panels with diverse core materials and different types and materials are extensively employed in the industry and hold significant potential for improvement. This study focuses on a specific sandwich panel configuration consisting of aluminum face sheets and a polylactic acid (PLA) core with a honeycomb corrugated geometry. The design of this panel was accomplished and its behavior was simulated using CATIA software. The vibration characteristics of the panel were subsequently analyzed utilizing Abaqus software. Two simulation modes were employed: a fully identical simulation and a homogenized simulation. In the homogenized simulation, the honeycomb core composed of PLA with isotropic properties was replaced by an equivalently represented flat plate possessing orthotropic properties. To validate the accuracy of the software simulation, experimental modal testing was conducted on a physical sample. The obtained modal test results were subjected to analysis using N-modal analysis software and then compared with the analytical simulation results. Furthermore, the simulation results were compared with and without considering the adhesive connections, revealing minimal influence of the adhesive connections  (less than 1.1%) on mode shapes and natural frequencies.
The simulation results and modal analysis indicate an error coefficient of less than 7%. The presented homogenization technique can be effectively employed to streamline the simulation process, reduce time requirements, and simplify the complexity of the investigated issues.
.

کلیدواژه‌ها [English]

  • Sandwich panel
  • Honeycomb structure
  • Corrugation structure
  • Modal analysis
  • Finite elements method
  • Natural frequency
[1] I. Dayyani and A. Shaw and E.S. Flores, and M. Friswell. "The mechanics of composite corrugated structures: A review with applications in morphing aircraft." Composite Structures 133  (2015): 358-380.
[2] J. Jia and Y. Li. "Deep learning for structural health monitoring: Data, algorithms, applications, challenges, and trends." Sensors 23, no. 21 (2023): 8824.
[3] B. Suarez and M. Muneta and J.D. Sanz-Bobi, and G. Romero. "Application of homogenization approaches to the numerical analysis of seating made of multi-wall corrugated cardboard." Composite Structures  262 (2021): 113642.
[4] W. J. Chong. "Additive manufacturing of antibacterial PLA-ZnO nanocomposites: Benefits, limitations and open challenges."  Journal of Materials Science & Technology  111 (2022): 120-151.
[5] Y. S. Kushwaha and N.S. Hemanth and N.D. Badgayan and S.K. Sahu. "Free vibration analysis of PLA based auxetic metamaterial structural composite using finite element analysis." Materials Today: Proceedings 56 (2022): 1063-1067.
[6] A. Jafari and A.H. Kazemian and H. Rahmani. "Investigating of Vibration Properties of Aluminum Plates in Radii of Diferent Curvatures Reinforced with Glass Fibers by Modal Analysis Method Experimentally and Numerically." Fibers and Polymers (2024).
[7] A. Arabzadeh and S. Sarrami, and M. Azhari. "Free-Vibration, Buckling, and Static Analysis of Sandwich Panels With a Square Honeycomb Core Using a Meshfree Method." International Journal of Structural Stability and Dynamics (2023): 2450177.
[8] A. Tesar. "Ultimate dynamics of corrugated shells". Computers & Structures 69,  no. 2 (1998): 159-170.
[9] R. Hernandez and S. Selke. "Packaging: Corrugated Paperboard." Encyclopedia of Materials: Science and Technology (2001) 6637-6642.
[10] C. Chan and Y.A. Khalid and B.B. Sahari and A. Hamouda. "Finite element analysis of corrugated web beams under bending. " Journal of Constructional Steel Research 58,  no. 11, (2002): 1391-1406.
[11] L. Peng and K. Liew and S. Kitipornchai. "Analysis of stiffened corrugated plates based on the FSDT via the mesh-free method. " International Journal of Mechanical Sciences 49,  no. 3 (2007): 364-378.
[12] J. Liu and Y. Cheng and R. Li, and F. Au. "A semi-analytical method for bending, buckling, and free vibration analyses of sandwich panels with square-honeycomb cores." International Journal of Structural Stability and Dynamics 10,  no. 01 (2010): 127-151.
[13] M. Livani and D. Scrocca and P. Arecco and C. Doglioni. "Structural and stratigraphic control on salient and recess development along a thrust belt front: The Northern Apennines (Po Plain, Italy). " Journal of Geophysical Research: Solid Earth  123,  no. 5 (2018): 4360-4387.
[14] H. Hatami and A. Dalvand and A. S. Chegeni. "Experimental investigation of impact loading effects on rectangular flat panels of fiber self-compacting cementations composite with expanded steel sheet." Journal of the Brazilian Society of Mechanical Sciences and Engineering 42 (2020): 1-23.
[15] N. Nguyen-Minh and N. Tran-Van and T. Bui-Xuan and T. Nguyen-Thoi. "Free vibration analysis of corrugated panels using homogenization methods and a cell-based smoothed Mindlin plate element (CS-MIN3). " Thin-Walled Structures 124 (2018): 184-201.
[16] A. Karakoti and V.R. Kar. "Deformation characteristics of sinusoidally-corrugated laminated composite panel–A higher-order finite element approach." Composite Structures 216 (2019): 151-158.
[17] S. A. Mousavizadeh and M. Hosseini and H. Hatami. "Experimental Studies on Energy Absorption of Curved Steel Sheets under Impact Loading and the Effect of Pendentive on the Deformation of Samples." Journal of Modeling in Engineering 18, no. 63 (2021): 27-40.
[18] H. Hatami and M. Hosseini. "Elastic-plastic analysis of bending moment–axial force interaction in metallic beam of T-Section." Journal of Applied and Computational Mechanics 5,  no. 1 (2019): 162-173.
[19] M.F. Guo and H. Yang, and L. Ma. "Design and analysis of 2D double-U auxetic honeycombs." Thin-Walled Structures 155 (2020): 106915.
[20] A.V. Manesh and A.H. Kazemian and H. Rahmani. "The effect of convexity in energy absorption of E‐glass reinforced epoxy composites under high velocity impact: An experimental and numerical investigation." Polymer Composites 44,  no. 12 (2023) 8615-8626.
[21] M.R. Karamooz and H. Rahmani and H. Khosravi. "Hybrid effects of basalt and kevlar fibers on low-velocity impact behavior of epoxy-based composites." Fibers and Polymers 21 (2020): 2590-2598.
[22] H. Hatami and A. Fathollahi. "Theoretical and numerical study and comparison of the inertia effects on the collapse behavior of expanded metal tube absorber with single and double cell under impact loading." Amirkabir Journal of Mechanical Engineering 50,  no. 5 (2018): 999-1014.
[23] M.R. Karamooz and H. Rahmani and H. Khosravi. "Numerical and experimental investigations on the low‐velocity impact properties of hybrid Kevlar fiber/basalt fiber reinforced epoxy composites: Effects of impactor nose shape and fiber stacking sequences." Polymer Composites 42,  no. 12 (2021): 6442-6454.
[24] M. Hatampour and R. Hosseini and M. Hasanzadeh, and K. Vahedi. "Experimental Investigation and Regression Analysis on Plastic Deformation of Sandwich Panels made of Reinforced Polymeric Foam under Explosive Loading." Modares Mechanical Engineering 20, no. 11( 2020): 2671-2678.
[25] E. Avazpoor and A. H. Kazemian and H. Rahmani. "Numerical and experimental investigations on the low velocity impact properties of glass fiber reinforced epoxy composites: effects of radius of curvature." Fibers and Polymers 24, no. 9 (2023): 3289-3298.
[26] A. Amirian and H. Rahmani and H. Moeinkhah. "An experimental and numerical study of epoxy-based Kevlar-basalt hybrid composites under high velocity impact." Journal of Industrial Textiles, 51 no. 1_suppl (2022): 804S-821S.
[27] J. Mantari and A. Oktem and C.G. Soares. "A new higher order shear deformation theory for sandwich and composite laminated plates." Composites Part B: Engineering 43, no. 3 (2012): 1489-1499.
[28] G. Milad. "An analytical and experimental investigation on corrugated plate modeling with homogenization method." (2017).
[29] K.G. McConnell. "Vibration testing: theory and practice." John Wiley & Sons (1995).
[30] J.E. Mottershead and M. Link and M.I. Friswell. "The sensitivity method in finite element model updating: A tutorial." Mechanical Systems and Signal Processing  25, no. 7 (2011): 2275-2296.