Wang Jin-ying, Lü Zhong-da. Transversely Isotropic Beam under Enitial Stress[J]. Applied Mathematics and Mechanics, 1990, 11(6): 537-646.
Citation: Wang Jin-ying, Lü Zhong-da. Transversely Isotropic Beam under Enitial Stress[J]. Applied Mathematics and Mechanics, 1990, 11(6): 537-646.

Transversely Isotropic Beam under Enitial Stress

  • Received Date: 1989-09-25
  • Publish Date: 1990-06-15
  • 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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