Free vibration and statistic analysis of composite sector spherical shells using isogeometric methodology

Subject Areas : Journal of New Applied and Computational Findings in Mechanical Systems

Ali Hosseinzadeh ¹ , mohammad reza forouzan ² , younes Alizadeh ³

1 - Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
2 - Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
3 - Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

Received: 2022-09-09 Accepted : 2022-10-19 Published : 2022-11-22

Keywords:

References:

[1] Evkin, A. Y., (2005) ,Large deflections of deep orthotropic spherical shells under radial concentrated load: asymptotic solution, International Journal of Solids and Structures, 42(3-4), pp. 1173-1186.

[2] Ashwell, D., (1959), On the large deflection of a spherical shell with an inward point load, in Proceedings of IUTAM Symposium on the Theory of Thin Elastic Shells, Delft, pp. 43-63.

[3] Kagan, P., Fischer, A. and Bar‐Yoseph, P. Z., (1998), New B‐spline finite element approach for geometrical design and mechanical analysis, International Journal for Numerical Methods in Engineering, 41(3), pp. 435-458.

[4] Höllig, K., Reif, U. and Wipper, J., (2001), Weighted extended B-spline approximation of Dirichlet problems, SIAM Journal on Numerical Analysis, 39(2), pp. 442-462.

[5] Hughes, T. J., Cottrell, J. A. and Bazilevs, Y., (2005), Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer methods in applied mechanics and engineering, 194(39-41), pp. 4135-4195.

[6] López, J., Anitescu, C. and Rabczuk, T., (2021), Isogeometric structural shape optimization using automatic sensitivity analysis, Applied Mathematical Modelling, 89, pp. 1004-1024,.

[7] De Lorenzis, L., Temizer, İ., Wriggers, P. and Zavarise, G., (2011), A large deformation frictional contact formulation using NURBS‐based isogeometric analysis, International Journal for Numerical Methods in Engineering, 87(13), pp. 1278-1300,.

[8] Benson, D., Hartmann, S., Bazilevs, Y., Hsu, M.-C. and Hughes, T., (2013), Blended isogeometric shells, Computer Methods in Applied Mechanics and Engineering, 255, pp. 133-146,.

[9] Guo, Y., Do, H. and Ruess, M., (2019), Isogeometric stability analysis of thin shells: From simple geometries to engineering models, International Journal for Numerical Methods in Engineering, 118(8), pp. 433-458.

[10] Shamloofard, M., Hosseinzadeh, A. and Movahhedy, M. R. (2021), Development of a shell superelement for large deformation and free vibration analysis of composite spherical shells, Engineering with Computers, 37, pp. 3551-3567.