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NUMERICAL SOLVING OF A 3-D STIFFNESS MATRICES OF THE WOOD 1 BEAM USING THE FINITE ELEMENT METHOD
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  • louis Bikanda,
  • René OUM LISSOUCK,
  • Junior Morel ANGOUAH MASSAGA,
  • Louis Max AYINA OHANDJA,
  • Hippolyte NTEGE NGA
louis Bikanda
ecole normale superieur de yaounde

Corresponding Author:[email protected]

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René OUM LISSOUCK
National Advanced School of Engineering of the University of Yaoundé I
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Junior Morel ANGOUAH MASSAGA
National Committee for Development of Technologies
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Louis Max AYINA OHANDJA
, National Advanced School of Engineering of the University of Yaoundé I
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Hippolyte NTEGE NGA
National Advanced School of Engineering of the University of Yaoundé I
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Abstract

The interest of this article is to show the relevance of the non-linear geometric model to estimate and to simulate numerically the critical wooden beams buckling load. Base on the kinematic hypotheses of the Vlassov's theory, the consideration of the kinematic relationships associated with warping are presented in a coherent and unified geometric form. The virtual work principal in updated lagrangian description allowed us to determine the incremental equations of equilibrium. Polynomial interpolation helps us to reconstruct the main matrices of the problem of nonlinear geometry. The size of the rigidity matrices obtained takes into account the warping phenomenon. In a numerical plan, the resolution of the equations established allows us to appreciate relevance of the seventh degree of freedom on predicting the critical buckling load.