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Higher-Order Finite Element Analysis of Skew Plate on Elastic Foundation

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Abstract

Static analysis of four-noded thin skewed plate bending element resting on Winkler foundation using a higher-order finite element is presented here. The present formulation has developed a MATLAB code to consider any loading and boundary conditions. Validation of the code is carried out after the convergence study. Compared to other researchers, the results show excellent agreement. The central deflection and bending moment have been obtained parametrically for the different aspect ratios, skew angle, and foundation coefficients. The results are presented in tabular and graphical formats. The present formulation fits effectively into the analysis of skew plates on Winkler foundations with a reasonable convergence rate and accuracy. It is worth noting that, even with the usual mesh pattern, perfect convergence for deflection and moment values is attained for Morley’s acute skew plate.

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Availability of data and materials

Data will be made available at reasonable request. Data supporting the result reported in the article: Chun and Ohga [6].

Code availability

MATLAB 2011b, MathWorks Inc, 2011.

References

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Authors and Affiliations

  1. Department of Construction Engineering, Jadavpur University, Salt Lake, Kolkata, 700098, India

    Ashis Kumar Dutta & Debasish Bandyopadhyay

  2. Department of Civil Engineering, National Institute of Technical Teachers’ Training and Research, Kolkata, 700106, India

    Jagat Jyoti Mandal

Authors
  1. Ashis Kumar Dutta
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  2. Debasish Bandyopadhyay
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  3. Jagat Jyoti Mandal
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Contributions

Ashis Kumar Dutta developed the theory, wrote the computer code, and drafted the manuscript. Debasish Bandyopadhyay participated as a research coordinator, checked the data analysis, and scrutinized the manuscript. Jagat Jyoti Mandal checked the developed theory and scrutinized the manuscript. Finally, the authors read and approved the final manuscript.

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Correspondence to Ashis Kumar Dutta.

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Dutta, A.K., Bandyopadhyay, D. & Mandal, J.J. Higher-Order Finite Element Analysis of Skew Plate on Elastic Foundation. Natl. Acad. Sci. Lett. 46, 173–178 (2023). https://doi.org/10.1007/s40009-023-01212-3

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