Ritz method for large deflection of orthotropic thin plates with mixed boundary conditions

• Autorzy: Al-Shugaa Madyan A. , Al-Gahtani Husain J. , Musa Abubakr E.S.

Identyfikatory

DOI

10.17512/jamcm.2020.2.01

• Języki publikacji: EN

Abstrakty

EN

In this paper, the Ritz method is developed for the analysis of thin rectangular orthotropic plates undergoing large deflection. The trial functions approximating the plate lateral and in-plane displacements are represented by simple polynomials. The nonlinear algebraic equations resulting from the application of the concept of minimum potential energy of the orthotropic plate are cast in a matrix form. The developed matrix form equations are then implemented in a Mathematica code that allows for the automation of the solution for an arbitrary number of the trial polynomials. The developed code is tested through several numerical examples involving rectangular plates with different aspect ratios and boundary conditions. The results of all examples demonstrate the efficiency and accuracy of the proposed method.

Słowa kluczowe

EN

Ritz method; energy method; orthotropic plate bending; mixed boundary conditions; free edges; large deflection

PL

metoda Ritza; metoda energetyczna; ugięcie duże; mieszane warunki brzegowe; gięcie blach; gięcie blach ortotropowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 2
• Strony: 5--16
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Al-Shugaa Madyan A.

• King Fahd University of Petroleum & Minerals Dhahran 31261, Saudi Arabia

autor

Al-Gahtani Husain J.

• King Fahd University of Petroleum & Minerals Dhahran 31261, Saudi Arabia

autor

Musa Abubakr E.S.

• King Fahd University of Petroleum & Minerals Dhahran 31261, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).