無限遠にかいて引張りを受ける弓形状出張りを持つ張板の写像関数について

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書誌事項

タイトル別名
  • ムゲンエン ニ オイテ ヒッパリ オ ウケル キュウケイジョウ デバリ オ モツ オビイタ ノ シャゾウ カンスウ ニ ツイテ
  • Mapping Function for a Infinite Strip Subjected to Tension， with a Bowshaped Projection on its Finite Zone

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説明

To analyse plane stress numerically， one resorts to difference theorem， as a modern method， mostly using a digital calculator， a stress function derived frorn a fundamental function., or Muskhelishvili's method for complex boundary value problems. 0ne cannot overlook the importance of the third one that can give solutions of more fidelity than others as reported. Difficulty lies， however， in the derivation of the mapping function to use in the complex plane for the stress boundary value problem. This paper reports， how the mapping function can be derived to make clear the stress distribution about the bowshaped projection of a infinite strip under axial tension. Giving a functional consideration on， and applying Schwarz-Christoffel's theorem to， the smooth curve profiling the projection，laborious calculation was undertaken and the result is shown therein. It is recommended that one should retain the record of typical correspondence between the mapping function and the shape of plate， acquired in this way， so that one can readily apply it to solve the stress problem as a complex boundary value one.

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