Large Deflection Analysis of Circular Ring Plates under Uniform Transverse Force along the Inner Edge

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  • 内周に沿う一様分布横荷重を受ける円輪板の大たわみ解析
  • ナイシュウ ニ ソウ イチヨウ ブンプ オウ カジュウ オ ウケル エン リンバン ノ オオタワミ カイセキ

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Abstract

Numerical calculations of large deflection of circular ring plates subjected to uniform transverse force along the inner edge under three edge conditions and some geometric configurations are carried out. Iterative procedure by Reiss-Keller is applied here and an elimination method is used to solve the set of difference equation which appears in each steps of iterative procedures. The purposes of this paper are mainly to reveal limitations of small deflection theory and approximate solutions of large deflection theory. Experimental results are given for the case of the circular ring plates which are clamped along inner and outer edges. These results are quite satisfactory and the Reiss-Keller method is also proved to be valid in this problem.

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