Verification of the LIRA-FEM software

Verification of the LIRA-FEM software / Modal analysis

Òåñò 5.1 Variable section beam

Analytical solution: Société Française des Mécaniciens – Commission Validation de Progiciels de Calcul de Structures, Groupe de travail Dynamique, Paris, 1989.
For the construction of the scheme used FE 10 (rod FE). Number of nodes:21. Number of elements:20.

Òåñò 5.2 Thin Plate

Àíàëèòè÷åñêîå ðåøåíèå: M.V. Barton, “Vibration of rectangular and skew cantilever plates”, Journal of Applied Mechanics, vol. 18, 1951, p. 129 – 134.
For the construction of scheme 1, FE 41 (rectangular FE) was used. Number of nodes:441. Number of elements: 400. To build 2 scheme used FE 41 (rectangular FE) and CE 51 (one-node FE). Number of nodes:441. Number of elements:1723.

Òåñò 5.3 Articulated rectangular plate

Analytical solution: M.V. Barton, “Vibration of rectangular and skew cantilever plates”, Journal of Applied Mechanics, vol. 18, 1951, p. 129 – 134.
For the construction of the scheme was used FE 11 (rectangular FE). Number of nodes:441. Number of elements:400.

Òåñò 5.4 Cylindrical shell

Analytical solution: P. Geoffroy, Développement et évaluation d’un élément fini pour l’analyse non linéaire statique et dynamique des coques minces, Thèse de doctorat...
For the construction of the scheme used FE 41 (rectangular FE). Number of nodes:441. Number of elements:400.

Òåñò 5.5 Hovgaard's task

Analytical solution: W. Hovgaard, “Stress in three dimensional pipe-bends”, Transactions of ASME, vol. 57, FSP 75 – 12, p. 401 – 416.
For the construction of the scheme used KE 10 (rod FE). Number of nodes:43. Number of elements:42.

Òåñò 5.6 Vibrations of the wedge-shaped arm

Analytical solution: S. Timoshenko, D. H. Young, Vibration Problems in Engineering, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 392, article 62.
To build the scheme used FE 19 (FE wall beams). Number of nodes:101. Number of elements:100.

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