カスティリアーノの定理について On the Castigliano Theorems

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The theorems of Castigliano are revisited. Based on the Galerkin equation for the equilibrium equations, we obtain the generalized principle of virtual work with the virtual displacements on the displacement boundary, from which we get the theorem of minimum generalized potential energy for the linearly elastic material. From the minimum theorem, we have the generalized first theorem of Castigliano which can be reduced to the conventional first theorem of Castigliano for the case where body forces are absent. Then, based on the Galerkin equation for the strain-displacement relations, we obtain the generalized principle of complementary virtual work with the virtual stresses on the stress boundary, from which we get the theorem of minimum generalized complementary energy. From the minimum theorem, we have the generalized second theorem of Castigliano which can be reduced to the conventional second theorem of Castigliano for the case where the displacement boundaries are fixed. The obtained theorems are applied to analyze the extention of bars, demonstrating the effectiveness of the generalized theorems of Castigliano as well as that of the minimum theorems of generalized potential energy and the generalized complementary energy.

収録刊行物

  • 日本航空宇宙学会論文集 = Journal of the Japan Society for Aeronautical and Space Sciences

    日本航空宇宙学会論文集 = Journal of the Japan Society for Aeronautical and Space Sciences 52(606), 316-327, 2004-07-05

    一般社団法人 日本航空宇宙学会

参考文献:  7件中 1-7件 を表示

  • <no title>

    TIMOSHENKO S. P.

    History of Strength of Materials, 288-293, 1983

    被引用文献1件

  • <no title>

    鷲津久一郎

    エネルギ原理入門 44-47, 153-159, 1980

    被引用文献1件

  • <no title>

    PRZEMIENIECKI J. S.

    Theory of Matrix Structural Analysis 36-37, 40-41, 66-67, 173-174, 1985

    被引用文献1件

  • <no title>

    WASHIZU K.

    Variational Methods in Elasticity and Plasticity, 1974

    被引用文献1件

  • <no title>

    LANGHAAR H. L.

    Energy Methods in Applied Mechanics, 1962

    被引用文献1件

  • <no title>

    近藤恭平

    構造力学の基礎, 283-284, 2001

    被引用文献1件

  • カスティリアーノの定理について

    近藤恭平

    第45回構造強度に関する講演会講演集, 豊橋, 2003, 96-98, 2003

    被引用文献1件

被引用文献:  1件中 1-1件 を表示

各種コード

  • NII論文ID(NAID)
    10013338492
  • NII書誌ID(NCID)
    AA11307372
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    13446460
  • NDL 記事登録ID
    7035559
  • NDL 雑誌分類
    ZN25(科学技術--運輸工学--航空機・ロケット)
  • NDL 請求記号
    Z74-B503
  • データ提供元
    CJP書誌  CJP引用  NDL  J-STAGE 
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