Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (6): 577-586.

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TRANSVERSELY ISOIROPIC BEAM UNDER INITIAL STRESS

Wang Jin-ying, Lu Zhong-da   

  1. Xi’an Highway Institute, Xi’an
  • Received:1989-09-25 Online:1990-06-18 Published:1990-06-18

Abstract: Starling from Novozhilov’s nonlinear equations of elasticity by appropriate simplification and integration over the beam cross-section, a linearized set of equations for a transversely isotropic beam under initial non-uniform state of stress is obtained. In the absence of initial stress, the obtained equations are reduced to well-known Timoshenko beam equations.These equations are applied to investigate the vibration and buckling characteristics of a transversely isotropic beam under uniform initial axial force and bending moment.

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