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Linear Complementarity Algorithm for Solving the Contact Problem of Laminated Beam
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    Abstract:

    Determining the contact area and the distributing law of contact force is the key to the calculation of the laminated beam. In this paper, the contact problem of laminated beam was constructed into a linear complementarity model so as to overcome some irrational conclusions of traditional analytical solution. Then, the general solving process of the proposed method was obtained. And its rationlity was verified by recalculating the contact problem of beam with the rigid body discussed by Timoshenko and Hu Haichang. On this basis, the contact law of laminated beam underlying typical loads was investigated and the factors influencing the law were studied. Finally, some conclusions were obtained. All the factors such as the stiffness ratio of laminated beam, load form and shear deformation affected the contact law noticeably. When taking into account the shear deformation in computing the laminated beam, the contact force was in the form of distributing force, or it was a concentrated force when considering no shear deformation. The contact law of laminated beam tended to be point contact under concentrated force and it was in line contact under distributing loads. The same degree of rigidity of the laminated beam was the turning point of contact press distribution. Different stiffness ratios of the laminated beam had different contact laws.

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