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Bending analysis of plates by superposing cylindrical deflections

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Języki publikacji
EN
Abstrakty
EN
In this paper, the present exact solutions in the plate theory using the cylindrical deflection method and represented by the Fourier series corresponding to the oblique or Cartesian coordinates are given for a hingely supported triangular plate subject to a distributed load in form of a hexagonal pyramid and for a rectangular hingely supported plate subject to loading in form of a truncated octagonal pyramid. In the case of the rectangular hingely supported plate under the truncated octagonal pyramid load, a series of parametric solutions has been obtained. The solutions depend on the parameter ε. For various values of the parameter ε, various load cases are found.
Rocznik
Strony
95--105
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
  • Warsaw University of Life Sciences, Faculty of Civil and Environmental Engineering, Warsaw, Poland
Bibliografia
  • 1. Abbassian F., Dawswell D.J., Knowles N.C., 1987, Free Vibration Benchmarks, vol. 2, Department of Trade and Industry, National Engineering Laboratory
  • 2. Becker A.A., 1998, Background to Material Non-Linear Benchmarks, NAFEMS, p. 114
  • 3. Becker A.A., 2001, Understanding Non-linear Finite Element Analysis through Illustrative Benchmarks, NAFEMS, p. 171
  • 4. Burrows D.J., 1985, Benchmark Tests in Thermal Stress Analysis Using Finite Element Methods, NAFEMS, p. 32
  • 5. Davies G.A.O., Fenner R.T., Lewis R.W., 1992, NAFEMS Background to Benchmarks, NAFEMS, p. 139
  • 6. Hardy S., 2001, Composite Benchmarks, Issue 1, p. 19, University of Cornell, Ithaca, NY, United States, Issue 2, 2010, NAFEMS, Ref: R0031, 38 p.
  • 7. Kamoulakos A., Hitchins D., Davies G.A.O., 1986, Benchmark Tests for Various Finite Element Assemblies – Thin Shells, NAFEMS, p. 53
  • 8. Kączkowski Z., 1953, Anisotropic plates bending analysis by superposing folded deflections (in Polish), Archiwum Mechaniki Stosowanej, 5, 3, 455-496
  • 9. Kączkowski Z., 1954, Berechnung anisotroper Platten nach der Methode der Supperposition von Wellenfl¨achen, Bulletin of the Polish Academy of Sciences. Technical Sciences, 2, 2, 79-8
  • 10. Kączkowski Z., 1968, Plates. Static analysis (in Polish), Arkady, Warszawa (1980 – 2nd edition, 2000 – 3rd edition, 1984 – in Rusian, Strojinzdat, Moskva)
  • 11. NAFEMS, 1990, The Standard NAFEMS Benchmarks, p. 58
  • 12. Pang H.L.J., Leggatt R.H., 2001, 2D Test Cases in Linear Elastic Fracture Mechanics (Summary), NAFEMS, Glasgow, U.K.
  • 13. Prinja K., Clegg R.A., 1993, Assembly Benchmark Tests for 3D Beams and Shell Exhibiting Geometric Non-Linear Behaviour, NAFEMS, p. 160
  • 14. Robinson J., 1985, Basic and Shape Sensitivity Tests for Membrane and Plate Bending Finite Elements, NAFEMS, p. 32
  • 15. Sze K.Y., Liu X.H., Lo S.H., 2004, Popular benchmark problems for geometric nonlinear analysis of shells, Finite Elements in Analysis and Design, 40, 11, 1551-1569
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-685eac9d-b2ff-419f-a678-2e300714a66f
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