塑性骨組の組織的な極限設計法 : Heyman-Prager法の機構条件による組織化

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書誌事項

タイトル別名
  • AUTOMATIC MINIMOM WEIGHT DESIGN OF PLASTIC FRAMES : Systematization of Heyman-Prager's Methd with Mechanism Condition
  • 塑性骨組の組織的な極限設計法
  • ソセイ ホネグミ ノ ソシキテキ ナ キョクゲン セッケイホウ

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抄録

Automatic minimum weight design of plastic frames were developed by J. Heyman and W. Prager first. After a few years computational procedure that applied the similary idea to the simplex method and the dual simplex method of linear programming were presented by H. Tanaka in Japan. Presented in this paper is also the method of automatic design for plastic frames to be of the same idea and procedure as the previous two papers. However, there are the differential points, that is to say, eqs. (1) and (2) called the mechanism condition decided a signs of residual moment at critical sections in eqs. (3) and (4) expressed the mini-max principle of linear programming [numerical formula] (1) [numerical formula] (2) [numerical formula] (3) [numerical formula] (4) (m, q): pivot Checked the gain of previous eqs (1) and (2) by digital computer (FACOM RELAY), the memories' spaces of α_<pi>^0=∝(iα=j) are increased but the calculated speed are more rapid due to the simply criterion, eqs. (5) and (6) than Tanaka's method. Still more, elimination of redundant moments and check of step II are more systematic than Heyman-Prager's method. At final solution [numerical formula] (5) [numerical formula] (6) Consequently, it has been seen that now computational procedure with high speed computer can be contained af the same idea as the presented paper by this writer formerly. (1) J. Heyman & W. Prager: Autmatic minimum weight design of steel frames, Jour. Franklin Inst. 266 (5) (1958) (2) H. Tanaka: Autmatic analysis and design of plastic frames, Rep. of Inst. of Industrial Sci. Tokyo Univ. sept. (1962) (3) T. Sato: Systematization of plastic moment-distribution method Trans. of A.I.J. Feb. (1962) Hence [numerical formula] suffix of number of basis iα: suffix of critical sections at α span j: suffix of number of non-basis l_α: Length of α span δ_<pa>^j: Kronecker's delta r_<iα>: Residual moment at i α M_<iα>^0: Bending moments balanced loads at i α k_<iα>: Variables of a sign at i α k_<iα>=±1

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