DOI QR코드

DOI QR Code

Automatic generation of equilibrium and flexibility matrices for plate bending elements using Integrated Force Method

  • Dhananjaya, H.R. (Department of Civil Engineering, Manipal Institute Technology) ;
  • Nagabhushanam, J. (Department of Aerospace Engineering, Indian Institute of Science) ;
  • Pandey, P.C. (Department of Civil Engineering, Indian Institute of Science)
  • 투고 : 2006.08.10
  • 심사 : 2008.06.03
  • 발행 : 2008.11.10

초록

The Integrated Force Method (IFM) has been developed in recent years for the analysis of civil, mechanical and aerospace engineering structures. In this method all independent or internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. The solution by IFM needs the computation of element equilibrium and flexibility matrices from the assumed displacement, stress-resultant fields and material properties. This paper presents a general purpose code for the automatic generation of element equilibrium and flexibility matrices for plate bending elements using the Integrated Force Method. Kirchhoff and the Mindlin-Reissner plate theories have been employed in the code. Paper illustrates development of element equilibrium and flexibility matrices for the Mindlin-Reissner theory based four node quadrilateral plate bending element using the Integrated Force Method.

키워드

참고문헌

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피인용 문헌

  1. Application of the dual integrated force method to the analysis of the off-axis three-point flexure test of unidirectional composites vol.50, pp.3, 2016, https://doi.org/10.1177/0021998315576377
  2. Comparison between the stiffness method and the hybrid method applied to a circular ring vol.40, pp.2, 2018, https://doi.org/10.1007/s40430-018-1013-z
  3. Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method vol.40, pp.1, 2011, https://doi.org/10.12989/sem.2011.40.1.121