Bending analysis of isotropic plates using a sixteen-noded sub-parametric element

• Autorzy: Manna M. C. , Haldar S. , Bhattacharya A. K.
• Języki publikacji: EN

Abstrakty

EN

Static analysis of isotropic plates under uniformly distributed and point loading is investigated in this paper. A sixteen noded sub-parametric element having fifty-two degrees of freedom is developed for this purpose. The first order shear deformation theory (FSDT) has been used in the entire analysis. The transverse and in-plane displacements and bending rotations are taken as independent field variables and the polynomials used to express these variables are of different orders.

Słowa kluczowe

EN

static analysis; sub-parametric element; FSDT; aspect ratios; thickness ratios

PL

materiałoznawstwo; analiza statyczna; współczynnik kształtu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2002
• Tom: Vol. 7, no 4
• Strony: 1279--1290
• Opis fizyczny: Bibliogr. 15 poz., tab.

Twórcy

autor

Manna M. C.

• Department of Applied Mechanics Bengal Engineering College, (Deemed University) Howrah - 711 103, West Bengal, INDIA

autor

Haldar S.

• Department of Applied Mechanics Bengal Engineering College, (Deemed University) Howrah - 711 103, West Bengal, INDIA

autor

Bhattacharya A. K.

• Department of Applied Mechanics Bengal Engineering College, (Deemed University) Howrah - 711 103, West Bengal, INDIA

Bibliografia

• [1] Batoz J.L., Bathe K.J. and Ho L.W. (1980): A study of three-node triangular plate bending elements. - Int. J. Numer. Meth. Eng., vol.15, pp.1771-1812.
• [2] Bhashyam G.R. and Gallagher R.H. (1984): An approach to the inclusion of transverse shear deformation in finite element plate bending analysis. - Computers and Structures, vol.19, pp.35-40.
• [3] Cheung Y.K. and Chen W. (1989): Hybrid quadrilateral element based on Mindlin/Reissner plate theory. - Computers and Structures, vol.32, pp.327-339.
• [4] Delpak R. (1967): Axi-symmetric Vibration of Shells of Revolution by the Finite Element Methods. - M.Sc. Thesis, University of Wales, Swansea.
• [5] Ergatoudis J.G. (1966): Quadrilateral Elements in Plane Analysis and Introduction to Solid Analysis. - M.Sc. Thesis, University of Wales, Swansea.
• [6] Hughes T.J.R. and Cohen M. (1978): The heterosis finite element for plate bending. - Computers and Structures, vol.9, pp.445-450.
• [7] Hughes T.J.R. and Tezduyaf T.E. (1981): Finite elements based on Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. - J. Appl. Mech., vol.48, pp.587-596.
• [8] Hrabok M.M. and Hrudey T.M. (1984): A review and catalogue of plate bending finite elements. - Computers and Structures, vol.19, pp.479-495.
• [9] Pryor C.W., Barker R.M. and Frederick D. (1970): Finite element bending analysis of Reissner plate. - J. Eng. Mech. Div. ASCE, vol.96, pp.967-983.
• [10] Pugh E.D.L., Hinton E. and Zienkiewicz O.C. (1987): A study of quadrilateral plate bending elements with reduced integration. - Int. J. Numer. Meth. Engng., vol.12, pp.1059-1079.
• [11] Petrolito J. (1989): A modified ACM element for thick plate analysis. - Computers and Structures, vol.32, pp. 1303-1309.
• [12] Rao G.V., Venkataramana J. and Raj I.S. (1974): A high precision triangular plate bending element for the analysis of thick plates. - Nuci. Engg. Des., vol.30, pp.408-412.
• [13] Salerno V.L. and Goldberg M.A. (1968): Effect of shear deformations on the bending of rectangular plates. - Appl. Mech., ASME, vol.27, pp.54-58.
• [14] Yuan F.G. and Miller R.E. (1989): A cubic triangular finite element for flat plate with shear. - Int. J. Numer. Meth. Engg., vol.28, pp. 109-126.
• [15] Zienkiewicz O.C. and Taylor R.L. (1988): The Finite Element Methods (Two Volumes). - New York: McGraw Hill.