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For nonlinear beam models, there are some coupling stiffness being discovered, and such coupling stiffness often results in nonlinear phenomena even in isotropic beams, such as the trapeze effect...
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Beam sectional analysis codes such as the well-known VABS (Variational Asymptotic Beam Sectional Analysis) usually provide the sectional stiffness matrix either Euler-Bernoulli type or Timoshenko...
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