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Technical Papers

Post-buckling of compound cantilever Elastica based on Galerkin finite element formulation

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Pages 284-295 | Received 23 Apr 2015, Accepted 16 Jul 2015, Published online: 24 Aug 2015

References

  • Aritoshi, M., K. Okita, T. Enjo, K. Ikeuchi, and F. Matsuda. 1991. “Friction Welding of Oxygen Free Copper to Pure Aluminum.” Quarterly Journal of Japan Welding Society 9: 467–474.
  • Berke, L., and N.S. Khot. 1974. “Use of Optimality Criteria Methods for Large Scale Systems.” AGARD-LS-70, 1-1–1-29.
  • Dawes, C.J. 1977. “Micro-friction Welding of Aluminum Studs Mild Steel Plates.” Metal Construction 9: 196–197.
  • El Naschie, M.S., I. Galaly, and S. Athel. 1978. “A Finite Difference Perturbation Procedure for Non-linear Elastic Stability Problems.” International Journal Numerical Methods in Engineering 16: 1337–1342.
  • El Naschie, M.S., and C.W. Wu. 1988. “A Simple Discrete Element Method for the Initial Postbuckling of Elastic Structures.” International Journal Numerical Methods in Engineering 26: 2049–2060.
  • Frisch-Fay, R. 1962. Flexible Bars. London: Butterworths.
  • Khot, N.S., V.B. Venkayya, and L. Berke. 1976. “Optimum Structural Design with Stability Constraints.” International Journal of Numerical Methods in Engineering 10: 1097–1114.
  • Lee, W., M. Schmuecker, U. Mercardo, A G. Biallas, and S. Jung. 2006. “Interfacial Reaction in Steel–Aluminum Joints Made by Friction Stir Welding.” Scripta Materialia 55: 355–358.
  • Przemiecki, J.S. 1968. Theory of Matrix Structural Analysis. New York: McGraw-Hill.
  • Rao, G.V., and P.C. Raju. 1977. “Post-buckling of Uniform Cantilever Columns – Galerkin Finite Element Solution.” Engineering Fracture Mechanics 9: 1–4.
  • Rao, G.V., and R.N. Swami. 1980. “Optimum Design of Cantilever Columns in the Postbuckling Region with Constraint on Axial Load – an Optimality Criterion Approach.” Computers and Structures 12: 843–848.
  • Rao, K.D., T.V. Kartikeyan, M.M. Hussain, and G.V. Rao. 2014. “Demonstration of an Intuitive Formulation for Postbuckling of Uniform Cantilever Columns (THE ELASTICA).” International Conference on Emerging Technologies in Mechanical Sciences, 12–17. ISBN No: 9789383038282.
  • Rao, K.D., T.V. Kartikeyan, M.M. Hussain, and G.V. Rao. (Forthcoming). “Comprehensive Investigation of Flexure or Flexural Buckling of Compound Cantilever Beams or Columns Subjected to Concentrated Lateral or Axial Compressive Load at Free End.” Journal of Structural Engineering.
  • Rao, K.D., T.V. Kartikeyan, M.M. Hussain, and G.V. Rao. 2015. “Finite Element Analysis of Bending and Buckling of Compound Cantilever Beams and Columns Subjected to Free End Concentrated Loads.” IUP Journal Structural Engineering VIII: 51–66.
  • Reddy, J.N. 2005. An Introduction to the Finite Element Method. London: McGraw-Hill.
  • Shames, I.H., and J.M. Pitarresi. 2006. Introduction to Solid Mechanics. New Delhi: Prentice-Hall of India.
  • Sitar, M., F. Kosel, and M. Brojan. 2014. “A Simple Method for Determining Large Deflection States of Arbitrarily Curved Planar Elastica.” Archives of Applied Mechanics 84: 263–275.
  • Timoshenko, S.P., and J.M. Gere. 1961. Theory of Elastic Stability. New York: McGraw- Hill.
  • Venkayya, V.B., N.S. Khot, and L. Berke. 1973. “Application of Optimality Criterion Approaches to Automated Design of Large Practical Structures.” AGARD-CP-123, 3-1–3-19.
  • Zienkiewicz, O.C. 1971. Finite Element Method in Engineering Science. New York: McGraw-Hill.

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