Buckling of Doubly Clamped Nano-Actuators in General form Through Spectral Meshless Radial Point Interpolation (SMRPI)

Subject Areas : Journal of Nanoanalysis

Hedayat Fatahi ¹ (Department of Mathematics, Baneh Branch, Islamic Azad University, Baneh, Iran)
Elyas Shivanian ² (Department of Applied Mathematics, Imam Khomeini International University, Qazvin, Iran)
S. J. Hosseini Ghoncheh ³ (Young Researchers & Elite Club, Pharmaceutical Sciences Branch, Islamic Azad University, Tehran, Iran|Department of Basic Sciences, Pharmaceutical Sciences Branch, Islamic Azad University (IAUPS), Tehran, Iran)

Received: 2017-07-08 Accepted : 2017-07-08 Published : 2017-03-01

Keywords:

References:

1. S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim, and A Alsaedi. Engineering Analysis with Boundary Elements, 47:10–20, 2014.

2. B. Abbasnejad, Gh. Rezazadeh, and Rasool Shabani. Acta Mechanica Solida Sinica, 26(4):427–440, 2013.

3. E.M. Abdel-Rahman, M.I. Younis, and A.H. Nayfeh. Journal of Micromechanics and Microengineering, 12(6):759, 2002.

4. G. Adomian. Solving frontier problems of physics: the decomposition method, volume 60.  Springer Science & Business Media, 2013.

5.  R. Ansari, R. Gholami, M. Faghih Shojaei, V. Mohammadi, and S. Sahmani. Acta Astronautica, 102:140 150, 2014.

6.  Mohammad Aslefallah and Elyas Shivanian. The European Physical Journal Plus, 130(3):1–9, 2015.

7.  Z. Avazzadeh, V.R. Hosseini, and W Chen. Iranian Journal of Science and Technology (Sciences), 38(3):205–212, 2014.

8.  W Chen, Z-J Fu, and C-S Chen. Recent advances in radial basis function collocation methods.  Springer, 2014.

9.  B. Choi and EG Lovell. Journal of Micromechanics and Microengineering, 7(1):24, 1997.

10.  M. Dehghan and A. Ghesmati. Computer Physics Communications, 181(4):772–786, 2010.

11.  M. Dehghan and D. Mirzaei. Applied Numerical Mathematics, 59(5):1043–1058, 2009.

12.  GE Fasshauer and H Wendland.  Scattered data approximation, 2006.

13.  A. Fili, A. Naji, and Y. Duan.   Journal of Computational and Applied Mathematics, 234(8):2456–2468, 2010.

14.  B. Fornberg and N. Flyer.   A primer on radial basis functions with applications to the geosciences, volume 87.  SIAM, 2015.

15.  B. Fornberg and N. Flyer.   Acta Numerica, 24:215–258, 2015.

16.  Bai Fu-Nong, Li Dong-Ming, W. Jian-Fei, and Cheng Yu-Min.   Chinese Physics B, 21(2):020204, 2012.

17.  Y Gerson, I Sokolov, T Nachmias, BR Ilic, S Lulinsky, and S Krylov.   Sensors and Actuators A: Physical, 199:227–235, 2013.

18. M. Ghalambaz, M. Ghalambaz, and Mohammad Edalatifar.   Applied Mathematical Modelling, 40(15):7293–7302, 2016.

19. V.R. Hosseini, W. Chen, and Z. Avazzadeh.   Engineering Analysis with Boundary Elements, 38:31–39, 2014.

20. V. R. Hosseini, E. Shivanian, and W. Chen.   The European Physical Journal Plus, 130(2):1–21, 2015.

21.  V. R. Hosseini, E. Shivanian, and W. Chen.   Journal of Computational Physics, 312:307–332, 2016.

22.  YC Jiao, Y. Yamamoto, C. Dang, and Y. Hao.   Computers & Mathematics with Applications, 43(6-7):783–798, 2002.

23. A. Koochi, H. Hosseini-Toudeshky, H.R. Ovesy, and Mohamadreza Abadyan.   International Journal of Structural Stability and Dynamics, 13(04):1250072, 2013.

24. A. Koochi, A. Kazemi, F. Khandani, and M. Abadyan.   Physica Scripta, 85(3):035804, 2012.

25. A. Koochi, A. Sadat Kazemi, Y. Tadi Beni, A. Yekrangi, and M. Abadyan.   Physica E: Low-dimensional Systems and Nanostructures, 43(2):625–632, 2010.

26. J-H Kuang and C-J Chen.   Mathematical and computer modelling, 41(13):1479–1491, 2005.

27. S. Liao.   Homotopy analysis method in nonlinear differential equations.  Springer, 2012.

28. B Nayroles, G Touzot, and P Villon.   Computational mechanics, 10(5):307–318, 1992.

29. A. Noghrehabadi, M. Ghalambaz, and Afshin Ghanbarzadeh.   Computers & Mathematics with Applications, 64(9):2806–2815, 2012.

30. M. Peng, D. Li, and Y. Cheng.   Engineering Structures, 33(1):127–135, 2011.

31. A Shirzadi and F Takhtabnoos.   Inverse Problems in Science and Engineering, 24(5):729–743, 2016.

32. E. Shivanian, S. Abbasbandy, M.S. Alhuthali, and H.H. Alsulami.   Engineering Analysis with Boundary Elements, 56:98–105, 2015.

33. E. Shivanian.   Engineering Analysis with Boundary Elements, 37(12):1693–1702, 2013.

34. E. Shivanian.   Engineering Analysis with Boundary Elements, 54:1–12, 2015.

35. E. Shivanian.   International Journal for Numerical Methods in Engineering, 105(2):83–110, 2016.

36. E. Shivanian and A. Jafarabadi.   Engineering Analysis with Boundary Elements, 72:42–54, 2016.

37. E. Shivanian and HR Khodabandehlo.   Ain Shams Engineering Journal, 2015.

38. E. Shivanian.   Engineering Analysis with Boundary Elements, 50:249–257, 2015.

39. R. Soroush, A. Koochi, A. Sadat Kazemi, and M. Abadyan.   International Journal of Structural Stability and Dynamics, 12(05):1250036, 2012.

40. A. Tadeu, CS Chen, J. António, and N. Simoes.   Advances in Applied Mathematics and Mechanics, 3(05):572–585, 2011.

41. A-M Wazwaz.   Applied Mathematics and Computation, 161(2):543–560, 2005.

42. E. Yazdanpanahi, A. Noghrehabadi, and M. Ghalambaz.   International Journal of Non-Linear Mechanics, 58:128–138, 2014.