Haryo Koco Buwono, Budiman Budiman


This paper presents the free vibration analysis of skew plates based on the first-order shear deformation theory (FSDT). The development of finite element plates based on first-order shear deformation plate theory has been carried out and provides good results in plate element analysis. In this study, we investigate plate analysis in the case of free vibration to obtain natural frequency using one of the plate elements developed based on FSDT, numerical analysis was performed on skew plates case with varying skew angles and length to thickness ratios, the result will be used to see the convergence behavior and performance of plate element by comparing with the reference solution in the literature.

Full Text:



P.S. Lee, K.J. Bathe, Development of MITC isotropic triangular shell finite elements, Comput. Struct. 82 (2004) 945–962.

E.N. Dvorkin, K.J. Bathe, A continuum mechanics based four-node shell element for general nonlinear analysis, Eng. Comput. 1 (1984) 77–88.

K. ‐J Bathe, E.N. Dvorkin, A formulation of general shell elements—the use of mixed interpolation of tensorial components, Int. J. Numer. Methods Eng. 22 (1986) 697–722.

P.S. Lee, H.C. Noh, K.J. Bathe, Insight into 3-node triangular shell finite elements: the effects of element isotropy and mesh patterns, Comput. Struct. 85 (2007) 404–418.

Y. Lee, K. Yoon, P.S. Lee, Improving the MITC3 shell finite element by using the Hellinger-Reissner principle, Comput. Struct. 110–111 (2012) 93–106.

Y. Lee, P.S. Lee, K.J. Bathe, The MITC3+ shell element and its performance, Comput. Struct. 138 (2014) 12–23.

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.

H. Nguyen-Xuan, L. V. Tran, T. Nguyen-Thoi, H.C. Vu-Do, Analysis of functionally graded plates using an edge-based smoothed finite element method, Compos. Struct. 93 (2011) 3019–3039.

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 Struct. 54 (2012) 1–18.

I. Ramu, K.V.G.R. Seshu, M. Venu, Natural frequency of skew FGM plates using finite element method, IOP Conf. Ser. Mater. Sci. Eng. 455 (2018).

J.N. Reddy, J. N. Reddy Mechanics of Laminated Composite Plates and Shells Theory and Analysis, Second Edition 2003, (2007) 1–855.



  • 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