弾性的に結合されたチモシェンコ二重はり系の非定常振動

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  • Transient Vibration Analysis of Elastically Connected Timoshenko Double-Beam Systems.
  • ダンセイテキ ニ ケツゴウサレタ チモシェンコ ニジュウハリケイ ノ ヒテイジ

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Transient vibrations of elastically connected double-beam systems are analyzed taking into account the effects of shear deformation and rotary inertia in accordance with the Timoshenko beam theory. The Finite Integral Transform technique is successfully applied to the elastically coupled two Timoshenko beams having different cross sections and being made of different materials, which are intractable by most other analytical methods. The analytical solution by the present technique results in a series expansion form in terms of generalized orthogonal eigenfunctions defined by the boundary value problem associated with the equations of motion for the system. By solving the boundary value problem, it is shown that there exist four series of eigenvalues and eigenfunctions. Transient responses due to impulsive loading as well as step loading are analyzed and compared with the case of the Bernoulli-Euler double-beam system. It is found that the Timoshenko double-beam system behaves in a slightly different manner from that of the Bernoulli-Euler double-beam system.

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