The general equations of non-linear dynamics of elastic rods are examined taking tension, transverse shear, eccentricity, rotational inertia, and also initial stresses into account. A second-order theory is constructed for Timoshenko and classical-type models. A variational formulation is given for the linearized problem. Tension and shear effects are examined in the problem of the stability of a compressed column.
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Univ London Queen Mary & Westfield Coll, Dept Phys, London E1 4NS, EnglandUniv London Queen Mary & Westfield Coll, Dept Phys, London E1 4NS, England
Dunstan, DJ
Bosher, SHB
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Univ London Queen Mary & Westfield Coll, Dept Phys, London E1 4NS, EnglandUniv London Queen Mary & Westfield Coll, Dept Phys, London E1 4NS, England