Structural Engineering and Mechanics

  • 제18권1호
  • /
  • Pages.79-90
  • /
  • 2004
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A high precision shear flexible element for bending analysis of thick/thin triangular plate

  • Haldar, S. (Department of Applied Mechanics, B. E. College (D.U.)) ;
  • Das, P. (Department of Computer Science, M.C.K.V. Institute of Engineering) ;
  • Manna, M.C. (Department of Applied Mechanics, B. E. College (D.U.))
  • 투고 : 2002.10.08
  • 심사 : 2004.02.11
  • 발행 : 2004.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

A high precision shear deformable triangular element has been proposed for bending analysis of triangular plate. The element has twelve nodes at the three sides and four nodes inside the element. Initially the element has thirty-five degrees of freedom, which has been reduced to thirty by eliminating the degrees of freedom of the internal nodes through static condensation. Plates having different boundary conditions, side ratios (b/a) and thickness ratios (h/a = 0.001, 0.1 and 0.2) have been analyzed using the proposed shear locking free element. Concentrated and uniformly distributed transverse loads have been used for the analysis. The formulation is made based on first order shear deformation theory. For validation of the present element and formulation few results of thin triangular plate have been compared with the analytical solutions. Results for thick plate have been presented as new results.

키워드

참고문헌

  1. Batoz, J.L. and Katili, I. (1992), "On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints", Int. J. Num. Meth. Eng., 35, 1603-1632. https://doi.org/10.1002/nme.1620350805
  2. Bhat, R.B. (1987), "Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables", J. Sound Vib., 114, 65-71. https://doi.org/10.1016/S0022-460X(87)80234-1
  3. Gallaghar, R.H. (1975), Finite Element Analysis, Fundamentals, Prentice-Hall, Englewood Cliffs, NJ.
  4. Ganga Rao, H.V.S. and Chaudhury, V.K. (1988), "Analysis of skew and triangular plates in bending", Comput. Struct., 28(2), 223-235. https://doi.org/10.1016/0045-7949(88)90043-0
  5. Kim, C.S. and Dickinson, S.M. (1990), "The free vibration of right triangular isotropic and orthotropic plates", J. Sound Vib., 141(2), 291-311. https://doi.org/10.1016/0022-460X(90)90841-M
  6. Liew, K.M. (1992), "Response of plates of arbitrary shape subjected to static loading", J. Eng. Mech., ASCE, 118(9), 1783-1794. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:9(1783)
  7. Petrolito, J. (1989), "A modified ACM element for thick plate analysis", Comput. Struct., 32, 1303-1309. https://doi.org/10.1016/0045-7949(89)90307-6
  8. Timoshenko, S.P. and Woinowsky-Krieger, S. (1959), Theory of Plates and Shells, McGraw-Hill, New York.
  9. Wanji, C. and Cheung, Y.K. (2000), "Refined quadrilateral element based on Mindlin/Reissner plate theory", Int. J. Num. Meth. Eng., 47, 605-627. https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<605::AID-NME785>3.0.CO;2-E
  10. Wilt, T.E., Saleeb, A.F. and Chang, T.Y. (1990), "A mixed element for laminated plates and shells", Comput. Struct., 37(4), 597-611. https://doi.org/10.1016/0045-7949(90)90048-7
  11. Yuan, F.G. and Miller, R.E. (1989), "A cubic triangular finite element for flat plates with shear", Int. J. Num. Meth. Eng., 28, 109-126. https://doi.org/10.1002/nme.1620280109
  12. Zhongnian, Xu. (1992), "A thick-thin triangular plate element", Int. J. Num. Meth. Eng., 33, 963-973. https://doi.org/10.1002/nme.1620330506
  13. Zienkiewics, O.C. (1971), The Finite Element Method in Engineering Science, McGraw-Hill, New York.
  14. Zienkiewicz, O.C. and Taylor, R.L. (1988), The Finite Element Method (two volumes), McGraw-Hill, New York.

피인용 문헌

  1. Analysis on Transverse Bending of Rectangular Plate vol.2, pp.4-5, 2015, https://doi.org/10.1016/j.matpr.2015.07.221