Buckling of rectangular plates with different central holes

• Autorzy: Benguediab S. , Kettaf F. Z. , Benguediab M.
• Języki publikacji: EN

Abstrakty

EN

The behavior of thin rectangular perforated plates under the action of uniform compressive deformation is studied using finite element analysis. The central holes are either circular holes or square holes. The effects of plate-support conditions, plate aspect ratio, hole geometry, and hole size on the buckling strengths of the perforated plates was studied. The results show that for the same plate weight density, the buckling strengths of the plates with square holes generally surpass those of the plates with circular holes over the range of hole sizes.

Słowa kluczowe

EN

buckling; finite element analysis; rectangular plates; holes; Abaqus; elastic properties

PL

wyboczenie; analiza elementów skończonych; płyty prostokątne; otwory; Abaqus; właściwości sprężyste

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 21, nr 4
• Strony: 885--895
• Opis fizyczny: Bibliogr. 16 poz., il., fot. kolor., wykr.

Twórcy

autor

Benguediab S.

• Department of Civil Engineering-Faculty of Technology, Moulay Tahar University of Saida, Algeria

autor

Kettaf F. Z.

• Department of Mechanical Engineering, Faculty of Technology, Djillali Liabes University of Sidi Bel Abbes, Algeria

autor

Benguediab M.

• Department of Mechanical Engineering, Faculty of Technology, Djillali Liabes University of Sidi Bel Abbes, Algeria

Bibliografia

• [1] Euler, L.: Additamentum I de curvis elasticis, methodus inveniendi lineas curvas maximi minimiui proprietate gaudentes, Bousquent, Lausanne, in Opera Omnia I, 24, 231-297, 1744.
• [2] Von Karman, T.: Festigkeitsprobleme im Maschinenbau, Encylop:adie der Mathematischen Wissenschaften, IV/4C, 311-385, 1910.
• [3] Koiter, W. T.: Over de Stabiliteit van het Elastisch Evenwicht, Thesis, Delft: H. J. Paris, Amsterdam, english translation issued as Technical Report AFFDL-TR- 70-25, Air Force Flight Dynamics Lab, Wright-Patterson, Air Force Base, Ohio, 1970.
• [4] Poincaré, H.: Sur l'équilibre d'une masse fluide animée d'un mouvement de rotation, Acta Math., 7, 259-380, 1885.
• [5] Liapunov, A.: Probleme General de la Stabilite du Mouvement, Princeton University Press, 1947.
• [6] Schmidt, E.: Zur Theorie der Linearen und nichtlinearen Integralgleichungen, Math. Ann., 65, 370-379, 1908.
• [7] Keller, J. B. and Antman, S. S.: Bifurcation Theory and Nonlinear Eigenvalue Problems, Benjamin, N.Y., 1969.
• [8] Sattinger, D. H.: Topics in Stability and Bifurcation Theory, Lecture Notes in Math., Springer-Verlag, 309, 1973.
• [9] Iooss, G. and Joseph, D. D.: Elementary Stability and Bifurcation Theory, UTM, Springer-Verlag, 1980.
• [10] Levy, S., Woolley, R. M. and Kroll, W. D.: Instability of Simply Supported Square Plate With Reinforced Circular Hole in Edge Compression, Journal of Research, National Bureau of Standards, 39, research paper no. RP1849, 571-577, 1947.
• [11] Toyoji, K.: Elastic Stability of the Square Plate With a Central Circular Hole Under Edge Thrust, Proc. Japan Nat. Cong. Appl. Mech., 81-88, 1951.
• [12] Schlack, A. L., Jr.: Elastic Stability of Pierced Square Plates, Experimental Mechanics, 167-172, 1964.
• [13] Kawai, T. and Ohtsubo, H.:A Method of Solution for the Complicated Buckling Problems of Elastic Plates With Combined Use of Rayleigh-Ritz's Procedure in the Finite Element Method, AFFDLTR-68-150, 1968.
• [14] Wei-Wen, Y. and Davis, C. S.: Cold-Formed Steel Members With Perforated Elements, J. Structural Division, ASCE, 99, ST10, pp. 2061-2077, 1973.
• [15] Timoshenko, S. P. and Gere, J. M.: Theory of Elastic Stability, 2nd ed., McGraw-Hill Book Company, New York, 1961.
• [16] ABAQUS Standard user's manual version 6.10 Pawtucket, RI,USA: Hibbit Karlsson & Sorensen, Inc., ABAQUS standard/user's manual, version 5.8-1. Pawtucket, RI, 1998.