STUDY ON FREE VIBRATION OF SKEW PLATE USING FINITE ELEMENT METHOD

Budiman Budiman

Abstract


A numerical procedure is presented for free vibration analysis of skew plates using the finite element method. The finite element method is a tool used by many researchers to analyze plates element and gives good results. In this research, the natural frequency of the plate is obtained through free vibration analysis, the analysis utilizes skew plate elements with several skew angles and varying length to thickness ratios. The reference solution in the literature will be used as a comparison to obtain the convergence behavior of the plate element.

 


Keywords


free vibration; natural frequency; skew plate; finite element

Full Text:

PDF

References


Y. Lee, P. S. Lee, and K. J. Bathe, “The MITC3+ shell element and its performance,” Computers and Structures, vol. 138, pp. 12–23, 2014, doi: 10.1016/j.compstruc.2014.02.005.

P. S. Lee and K. J. Bathe, “Development of MITC isotropic triangular shell finite elements,” Computers and Structures, vol. 82, no. 11–12, pp. 945–962, 2004, doi: 10.1016/j.compstruc.2004.02.004.

K. ‐J Bathe and E. N. Dvorkin, “A formulation of general shell elements—the use of mixed interpolation of tensorial components,” International Journal for Numerical Methods in Engineering, vol. 22, no. 3, pp. 697–722, 1986, doi: 10.1002/nme.1620220312.

E. N. Dvorkin and K. J. Bathe, “A continuum mechanics based four-node shell element for general nonlinear analysis,” Engineering Computations, vol. 1, no. 1, pp. 77–88, 1984, doi: 10.1108/eb023562.

Y. Lee, H.M. Jeon, P.S. Lee, K.J. Bathe, The modal behavior of the MITC3+ triangular shell element, Comput Struct. 153 (2015) 148–164. https://doi.org/10.1016/j.compstruc.2015.02.033.

H.M. Jeon, Y. Lee, P.S. Lee, K.J. Bathe, The MITC3+ shell element in geometric nonlinear analysis, Comput Struct. 146 (2015) 91–104. https://doi.org/10.1016/j.compstruc.2014.09.004.

K.S. Woo, C.H. Hong, P.K. Basu, C.G. Seo, Free vibration of skew Mindlin plates by p -version of F.E.M., J Sound Vib. 268 (2003) 637–656. https://doi.org/10.1016/S0022-460X(02)01536-5.

X. Zhao, Y.Y. Lee, K.M. Liew, Free vibration analysis of functionally graded plates using the element-free kp-Ritz method, J Sound Vib. 319 (2009) 918–939. https://doi.org/10.1016/j.jsv.2008.06.025.

S. Hosseini-Hashemi, M. Fadaee, M. Es’Haghi, A novel approach for in-plane/out-of-plane frequency analysis of functionally graded circular/annular plates, Int J Mech Sci. 52 (2010) 1025–1035. https://doi.org/10.1016/j.ijmecsci.2010.04.009.

J. N. Reddy, “J. N. Reddy Mechanics of Laminated Composite Plates and Shells Theory and Analysis, Second Edition 2003.” pp. 1–855, 2007. [Online]. Available: https://books.google.com/books?id=eeUr_AJiGRcC

H. Nguyen-Xuan, L. v. Tran, C.H. Thai, T. Nguyen-Thoi, Analysis of functionally graded plates by an efficient finite element method with node-based strain smoothing, Thin-Walled Structures. 54 (2012) 1–18. https://doi.org/10.1016/j.tws.2012.01.013.




DOI: https://doi.org/10.24853/ijcei.2.2.28-36

Refbacks

  • There are currently no refbacks.


International Journal of Civil Engineering and Infrastructure (IJCEI) Indexing By:

  


Copyright of International Journal of Civil Engineering and Infrastructure (IJCEI) (e-ISSN: 2776-2580).

 

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License

Powered by Puskom-UMJ