حل تحلیلی کمانش ورق های ساندویچی هدفمند با لایه های پیزوالکتریک در دو حالت مدار باز و بسته

علوم کاربردی و محاسباتی در مکانیک

مقاله 2، دوره 26، شماره 2 - شماره پیاپی 12، شهریور 1394، صفحه 15-31   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/fum-mech.v26i2.28377

نویسندگان

علی قاسم آبادیان¹؛ علیرضا سعیدی^{* 2}

¹فردوسی مشهد

²دانشگاه شهید باهنر کرمان

چکیده

در مقالۀ حاضر، بر پایۀ تئوری کلاسیک ورق، کمانش ورق های مستطیلی هدفمند کوپله شده با لایه های پیزوالکتریک تحلیل شده است. با فرض این‌که توزیع عرضی تابع پتانسیل الکتریکی ترکیبی از دو تابع خطی و درجه دوم باشد، معادلات تعادل برای تحلیل کمانش ورق با لایه‌های پیزوالکتریک حاصل شد. معادلۀ ماکسول و همۀ شرایط مرزی شامل شرایط روی سطوح بالا و پایین ورق برای مدار باز و بسته و شرایط مرزی لوی ارضا شدند. نتایج نشان داد که بار بحرانی کمانش در حالت مدار باز بیشتر از مدار بسته است. هم‌چنین بار بحرانی کمانش با افزایش ضخامت لایۀ پیزوالکتریک افزایش می‌یابد.

کلیدواژه‌ها

کمانش؛ پیزوالکتریک؛ ورق مستطیلی؛ مدار باز؛ مدار بسته؛ ماده هدفمند

مراجع

1 Javaheri, R. and Eslami, M.R.," Thermal buckling of functionally graded plates", AIAA Journal,

Vol. 40, pp. 162-169, (2002).

2 Javaheri, R. and Eslami, M.R.," Buckling of functionally graded plates under in-plane compressive loading", Z Angew Math Mech (ZAMM), Vol. 82(4), pp. 277-283, (2002).

3 Javaheri, R. and Eslami, M.R., " Thermal buckling of functionally graded plates based on higher order theory" , Journal of Thermal Stress, Vol. 25, pp. 603-625, (2002).

4 Wu, L., "Thermal buckling of a simply supported moderately thick rectangular FGM plate", Composite Structures, Vol. 64, pp. 211-218, (2004).

5 Shariat, S. and Eslami, M.R., "Buckling of functionally graded plates under in-plane compressive loading based on the first order plate theory", Fifth international conference on composite science and technology, Sharjah, UAE, (2005).

6 Shariat, S. and Eslami, M.R., "Buckling of thick functionally graded plates under mechanical and thermal loads", Composite Structures, Vol. 78, pp. 433-439, (2005).

7 Ferreira, A.J.M., Batra, R.C., Roque, C.M.C., Qian, L.F. and Martins, P., "Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method", Composite Structures, Vol. 69, pp. 449-457, (2005).

8 Mohammadi, M., Saidi, A.R. and Jomehzadeh, E., "Levy solution for buckling analysis of functionally graded rectangular plates", Applied Composite Materials, Vol. 17, pp. 81-93, (2010).

9 Mohammadi, M., Saidi, A.R. and Jomehzadeh, E., "A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges", Mechanical Engineering Science, Vol. 224, pp. 1831-1841, (2009).

10 Bodaghi, M. and Saidi, A.R., " Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory", Applied Mathematical Modelling, Vol. 34, pp. 3659-3673, (2010).

11 Zenkour, A.M., "A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration", International Journal of Solids and Structures, Vol. 42, pp. 5243–5258, (2005).

12 Kiani, Y. and Eslami, M.R., "Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation", Archive of Applied Mechanics,

Vol. 82, pp. 891–905, (2012).

13 Chandrashekhara, K. and Bhatia, K., "Active buckling control of smart composite plates- finite element analysis", Smart Mater Struct, Vol. 2, pp. 31-39, (1993).

14 Batra, R.C. and Geng, T.S., "Enhancement of the dynamic buckling load for a plateby usingpiezoceramic actuators", Smart Mater Struct, Vol. 10, pp. 925-933, (2001).

15 Varelis, D. and Saravanos, D.A., "Coupled buckling and postbuckling analysis of active laminated piezoelectric composite plates", International Journal of Solids and Structures, Vol. 41, pp.

1519–1538, (2004).

16 Shariyat, M., "Dynamic buckling of imperfect laminated plates with piezoelectric sensors and actuators subjected to thermo-electro-mechanical loadings, considering the temperature dependency of the material properties", Composite Structures, Vol. 88, pp. 228-239, (2009).

17 Shariyat, M., "Vibration and dynamic buckling control of imperfect hybrid FGM plates with temperature-dependent material properties subjected to thermo-electro-mechanical loading conditions", Composite Structures, Vol. 88, pp. 240–252, (2009).

18 Akhras, G. and Li, W.C., "Three-dimensional thermal buckling analysis of piezoelectric antisymmetric angle-ply laminates using finite layer method", Composite Structures, Vol. 92,

pp. 31-38, (2010).

19 Yang, J.S., "Buckling of piezoelectric plate", Applied Electromagnetics and mechanics, Vol. 9,

pp. 399-408, (1998).

20 Shen, H.S., "Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings", International Journal of Solids and Structures, Vol. 42, pp. 6101–6121, (2005).

21 Shen, H.S., "A comparison of buckling and postbuckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators", Composite Structures, Vol. 91, pp. 375–384, (2009).

22 Shen, H.S., "Postbuckling of shear deformable laminated plateswith piezoelectric actuators under complex loading conditions", International Journal of Solids and Structures, Vol. 38, pp. 7703-7721, (2001).

23 Shen, H.S., "Thermal postbuckling of shear-deformable laminated plates with piezoelectric actuators", Composites Science and Technology, Vol. 61, pp. 1931-1943, (2001).

24 Kapuria, S. and Achary, G.G.S., "Nonlinear coupled zigzag theory for buckling of hybrid piezoelectric plates", Composite Structures, Vol. 74, pp. 253-264, (2006).

25 Kim, G.W. and Lee, K.Y., "Influence of weak interfaces on buckling of orthotropic piezoelectric rectangular laminates", Composite Structures, Vol. 82, pp. 290-294, (2008).

26 Liu, X., Wang, Q. and Quek, S.T., "Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates", International Journal of Solids and Structures, Vol. 39,

pp. 2129–2151, (2002)

27 Wang, Q., Quek, S.T., Sun, C.T. and Liu, X., "Analysis of piezoelectric coupled circular plate", Smart Mater. Struct.,Vol. 10, pp. 229–239, (2001).