تحلیل ضربه‌ کم‌سرعت خارج از مرکز ورق ساندویچی با تکیه‌گاه های نقطه‌ای به شیوه نیمه تحلیلی

نوع مقاله : مقاله علمی پژوهشی

نویسندگان

1 دانشگاه صنعتی خواجه نصیرالدین طوسی

2 دانشکده مهندسی مکانیک، دانشگاه صنعتی خواجه نصیر‌الدین طوسی، تهران، ایران

چکیده

در پژوهش کنونی، رفتار ورق ساندویچی با تکیه‌گاه های نقطه‌ای در معرض ضربه‌ کم‌سرعت خارج از مرکز، برای اولین بار بررسی شده است. نوآوری دیگر، شامل پیشنهاد یک حل نیمه تحلیلی به همراه فرمولبندی انرژی جدید، جهت در نظر گرفتن وابستگی مکانی و استفاده از یک روش انتگرالگیری عددی زمانی ضمنی می باشد. معادلات حرکت برپایه اکسترمم سازی انرژی پتانسیل کل، با در نظر گرفتن کار نیروهای اینرسی، به شیوه ریتز پیدا شده و به طور ابتکاری، به فرم شبه استاتیکی تبدیل شده است. بر خلاف پژوهشهای موجود، اثر سفتی لایه های زیرین بر ضربه نیز دخالت داده شده است.

کلیدواژه‌ها

موضوعات


[1]    Shariyat, M., “A Double-Superposition Global–local Theory for Vibration and Dynamic Buckling Analyses of Viscoelastic Composite/Sandwich Plates: A Complex Modulus Approach”, Archive of Applied Mechanics, Vol. 81, pp. 1253-1268, )2011(.
 
[2]    Shariyat, M., “A Nonlinear Double-superposition Global–local Theory for Dynamic Buckling of Imperfect Viscoelastic Composite/Sandwich Plates: A Hierarchical Constitutive Model”, Composite Structures, Vol. 93, pp. 1890-1899, (2011).
 
[3]    Shariyat, M., Jafari, A.A., and Alipour, M.M., “Investigation of the Thickness Variability and Material Heterogeneity Effects on Free Vibration of the Viscoelastic Circular Plates”, Acta Mechanica Solida Sinica, Vol. 26, pp. 83-98, (2013).
 
[4]    Shariyat, M., and Jafari, R., “Nonlinear Low-velocity Impact Response Analysis of a Radially Preloaded Two-directional-functionally Graded Circular Plate: A Refined Contact Stiffness Approach”, Composites Part B, Vol. 35, pp. 981-994, (2013).
 
[5]    Carpino, G., Visconti, I.C., and Ilio, A.D., “Elastic Behavior of Composite Structures under Low Velocity Impact”, Composites, Vol. 15, pp. 231-234, (1984).
 
[6]    Lee, L.J., Huang, K.Y., and Fann, Y.J., “Dynamic Response of Composite Sandwich Plate Impact by a Rigid Ball”, Journal of Composite Materials,  Vol. 27, pp. 1238-1256, (1993).
 
[7]    Herup, E., and Palazotto, A.N., “Elasticity Solutions for Hertzian Loaded Composite Sandwich Plates”, Journal of Aerospace Engineering, Vol. 10, pp. 27–37, (1997).
 
[8]    Palazotto, A.N., Herup, E.J., and Gummadi, L.N.B., “Finite Element Analysis of Low-velocity Impact on Composite Sandwich Plates”, Composite Structures, Vol. 49, pp. 209-227, (2000).
 
[9]    Burlati, R., “The Effect of a Slow Impact on Sandwich Plates”, Journal of Composite Materials, Vol. 36, pp. 1079-1092, (2002).
 
[10]      Meunier, M., and Shanoi, R.A., “Dynamic Analysis of Composite Sandwich Plates with Damping Modeled using High-order Shear Deformation Theory”, Composite Structures, Vol. 54, pp. 243-254, (2001).
 
[11]      Hanssen, A., Girard, Y., Olovsson, L., Berstad, T., and Lang, M., “A Numerical Model for Bird Strike of Aluminium Foam-based Sandwich Panels”, International Journal of Impact Engineering, Vol. 32, No. 7, pp. 1127-1144, (2006).
 
[12]      Zhao, H., Elnasri, I., and Girard, Y., “Perforation of Aluminium Foam Core Sandwich Panels under Impact Loading an Experimental Study”, International Journal of Impact Engineering, Vol. 34, pp. 1246-1257, (2007).
 
[13]      Khalili, M.R., and Malekzadeh, K., “Effect and Physical and Geometrical Parameters on Transverse Low-velocity Impact Response of Sandwich Panels with a Transversely Flexible Core”, Composite Structures, Vol. 77, pp. 430-443, (2007).
 
[14]      Payeganeh, G.H., Ashenai Ghasemi, F., and Malekzadeh, K., “Dynamic Response of Fiber–metal Laminates (FMLs) Subjected to Low-velocity Impact”, Thin-walled Structures, Vol. 48, pp. 62–70, (2010).
 
[15]      Icardi, U., and Ferrero, L., “Impact Analysis of Sandwich Composites Based on a Refined Plate Element with Strain Energy Updating”, Composite Structures, Vol. 89, pp. 35–51, (2009).
 
[16]      Foo, C.C., Seah, L.K., and Chai, G.B., “A Modified Energy-balance Model to Predict Low-velocity Impact Response for Sandwich Composites”, Composite Structures, Vol. 93, pp. 1385-1393, (2011).
 
[17]      Shariyat, M., and Farzan Nasab, F., “Eccentric Low-velocity Impact Analysis of Transversely Graded Plates with Winkler-type Elastic Foundations and Fully or Partially Supported Edges”, Thin-Walled Structures, Vol. 84, pp. 112-122, (2014).
 
[18]      Tracy, J.J., Dimas, D.J., and Pardoen, G.C., “The Effect of Impact Damage on the Dynamic Properties  of  Laminated Composite Plates”, in: Proceedings of the Fifth International Conference on Composite Materials, ICCM-V,  29 July-1 August; 1985. San Diego, CA, pp. 111-125, (1985).
[19]      Ellis, R.L., “Ballistic Impact Resistance of Graphite Epoxy Composites with Shape Memory Alloys and Extended Chain Polyethylene Spectra™ Hybrid Composites”, M.Sc. Dissertation, Virginia Polytechnic Institute and State University, USA, (1996).
 
[20]      Olsson, R., “Mass Criterion for Wave Controlled Impact Response of Composite Plates”, Composites Part A, Vol. 31, pp. 879–887, (2000).
 
[21]      Olsson, R., “Impact Response of Orthotropic Composite Plates Predicted from a One-parameter  Diffrential Equation”, AIAA Journal, Vol. 30, pp. 1587-1596, (1992).
 
[22]      Abrate, S., “Impact on Laminated Composites: Recent Advances”, Applied Mechanics Reviews, Vol. 47, pp. 517-544, (1994).
 
[23]      Yang, S.H., and Sun, C.T., “Indentation Law for Composite Laminates”,  ASTM STP, Vol. 787,  pp. 425-49, (1982).
 
[24]      Shariyat, M., and Niknami, A., “Layerwise Numerical and Experimental Impact Analysis of Temperature-dependent Transversely Flexible Composite Plates with Embedded SMA Wires in Thermal Environments”, Composite Structures, Vol. 153, pp. 692-703 , (2016).
 
[25]      Eslami, M.R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., and Tanigawa, Y., “Theory of Elasticity and Thermal Stresses”, Springer, Netherlands, (2013).
 
[26]      Shariyat, M., and Hosseini, S.H., “Accurate Eccentric Impact Analysis of the Preloaded SMA Composite Plates, Based on a Novel Mixed-order Hyperbolic Global–local Theory”, Composite Structures, Vol. 124, pp. 140-151, (2015).
 
[27]      Asemi, K., Shariyat, M., Salehi, M., and Ashrafi, H., “A Full Compatible Three-dimensional Elasticity Element for Buckling Analysis of FGM Rectangular Plates Subjected to Various Combinations of Biaxial Normal and Shear Loads”, Finite Elements in Analysis and Design, Vol. 74, pp. 9-21, (2013).
 
[28]      Shariyat, M., and Niknami, A., “Impact Analysis of Strain-Rate-Dependent Composite Plates with SMA Wires in Thermal Environments: Proposing Refined Coupled Thermoelasticity, Constitutive, and Contact Models”, Composite Structures, Vol. 136, pp. 191-203, (2016).
 
Eslami, M.R., “Finite Elements Methods in Mechanics”, Springer, Switzerland, (2014).