Deformation characteristic of the axially fiber reinforced cylindrical rubber subjected to inner pressure

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  • 内圧を受ける軸方向繊維強化ゴム円筒の変形特性

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<p>The cylindrical rubber is axially reinforced by the fiber and closed by the rigid ends. When the inner pressure is applied to this fiber reinforced rubber cylinder, the diameter expands and the length shrinks. Such the cylinder can be used as the soft actuator, that is, the artificial muscle. In this paper, this problem is analyzed theoretically. Firstly, the differential equation, which is satisfied the cylinder's profile, is derived. Secondary, the solution is obtained as the closed form, when the rubber is soft enough compared to the fiber. Finally, it is found that the profile of the rubber cylinder is given by the incomplete elliptic integral, when the inner pressure is large enough. Moreover, the spring constant, the contraction ratio and the maximum stress are obtained with respect to the length of the cylinder. The spring constant is linearly increasing with the inclement of the initial length of the cylinder. The contraction ratio is increasing with the inclement of the initial length of the cylinder and converged to 54.3%. The maximum stress is related to the elastic modulus of the rubber and is not related to the inner pressure. When the length of the cylinder is through three to five times larger than the initial diameter of the cylinder, the rubber has the small maximum stress and the large contraction ratio.</p>

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