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Deflection Surface Analysis of Thin Plate Structures Using Regression Technique

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Proceedings of SECON'22 (SECON 2022)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 284))

Abstract

Deflection analysis of any structure is of common interest while designing the structure. Analysis for deflection in thin plate structures is generally done with the help of Kirchhoff’s plate theory, also known as classical plate theory. Kirchhoff’s plate theory helps in developing a fourth-order partial deflection equation relating the deflection of a plate to the loading condition on the plate and the material or bending rigidity of the plate. The present study focuses on the analysis of a simply supported thin concrete plate that is subject to uniform loading over the entire plate area. The deflection surface of the plate is developed using Navier’s double trigonometric Fourier series. Regression analysis is done to understand how various plate parameters like material rigidity, loading on the plate, and area of the plate could affect the magnitude of deflection of the plate. Also, the effect of the mentioned plate parameters on the magnitude of bending moments, twisting moments, and shear forces acting on the plate is studied. Regression modelling is used to achieve the same. Statistical metrics like R-squared error, Root Mean Square Error (RMSE), and Mean Absolute Percentage Error (MAPE) are used to check the efficiency of regression analysis. In the present study, the regression modelling technique is also used to solve the fourth-order partial differential equation.

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Authors and Affiliations

  1. National Institute of Technology Karnataka, Surathkal, 575025, India

    Vishal Singh & M. H. Prashanth

Authors
  1. Vishal Singh
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  2. M. H. Prashanth
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Correspondence to Vishal Singh .

Editor information

Editors and Affiliations

  1. DISEG, Politecnico di Torino, Turin, Italy

    Giuseppe Carlo Marano

  2. Department of Civil and Environmental Engineering, Indian Institute of Technology Tirupati, Tirupati, Andhra Pradesh, India

    A. V. Rahul

  3. Department of Civil Engineering, Federal Institute of Science and Technology (FISAT), Angamaly, Kerala, India

    Jiji Antony

  4. Department of Civil Engineering, Federal Institute of Science and Technology (FISAT), Angamaly, Kerala, India

    G. Unni Kartha

  5. Department of Civil Engineering, Federal Institute of Science and Technology (FISAT), Angamaly, Kerala, India

    P. E. Kavitha

  6. Department of Civil Engineering, Federal Institute of Science and Technology (FISAT), Angamaly, Kerala, India

    M. Preethi

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Singh, V., Prashanth, M.H. (2023). Deflection Surface Analysis of Thin Plate Structures Using Regression Technique. In: Marano, G.C., Rahul, A.V., Antony, J., Unni Kartha, G., Kavitha, P.E., Preethi, M. (eds) Proceedings of SECON'22. SECON 2022. Lecture Notes in Civil Engineering, vol 284. Springer, Cham. https://doi.org/10.1007/978-3-031-12011-4_18

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  • DOI: https://doi.org/10.1007/978-3-031-12011-4_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-12010-7

  • Online ISBN: 978-3-031-12011-4

  • eBook Packages: EngineeringEngineering (R0)

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