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Volume 26 Issue 5
Oct.  2013
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Journal of Southwest Jiaotong University  > 2013  >  26(5): 857-862.
XU Leiping, QIN Shunquan, MA Runping. Equilibrium Equation Derivation of Structures Formed by Stages Based on Plane Shell Element[J]. Journal of Southwest Jiaotong University, 2013, 26(5): 857-862. doi: 10.3969/j.issn.0258-2724.2013.05.012
Citation: XU Leiping, QIN Shunquan, MA Runping. Equilibrium Equation Derivation of Structures Formed by Stages Based on Plane Shell Element[J]. Journal of Southwest Jiaotong University, 2013, 26(5): 857-862. doi: 10.3969/j.issn.0258-2724.2013.05.012
shu

Equilibrium Equation Derivation of Structures Formed by Stages Based on Plane Shell Element

doi: 10.3969/j.issn.0258-2724.2013.05.012
  • Received Date: 07 Dec 2012
  • Publish Date: 25 Oct 2013
    Abstract
  • In order to research the influence factor of the final state of structures formed by stages based on plane shell element, the structural equilibrium equation including the unstressed state amounts was established. The relationship between unstressed state amounts at any point within the isoparametric plane shell element and at Gaussian integral points was founded. The total potential energy of structure was calculated from the zero state when the isoparametric plane shell element is unstressed. From the principle of minimum potential energy, the structural equilibrium equation including unstressed state amounts was derived to make clear the relationship between the final state and unstressed state amounts of plane shell element. The analysis results show that when a structure system, external loads and boundary conditions are given, the final state of a structure formed by stages is definite if the unstressed state amounts of plane shell element are certain.

     

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