SHAPE ANALYSIS OF SELF-EQUILIBRATING CABLE NETWORKS WITH INITIAL TENSION ADJUSTED BY STRESS METHOD

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概要

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• Nonlinear structural analysis of discrete structures has been established on the basis of the displacement method. This paper describes an updated Lagrangian approach for nonlinear problems based on the stress method. The stress method is considered very promising for material nonlinear problems involving discontinuity of displacement. However, with the stress method, the equilibrium equations of the whole system are only described by stress components; hence it has been difficult to apply this method in cases of deformation-dependent stress related to geometrical nonlinearity of discrete structures. In addition, equilibrium equations and compatibility equations are expressed via oblong matrices, which complicates analysis procedures as has been pointed out previously. The authors developed a stress method for analysis of linear problgems using a Moore - Penrose generalized inverse matrix , and demonstrated the method features a simple and straightforward theoretical framework as well as a concise analysis procedure. This paper proposes a method of shape analysis based on the stress method for typical self - equilibrating cable networks with designated initial tension as geometrically nonlinear problems of discrete structures. The idea lies in incorporating the stress-deformation relationship into the constitutive equations. Efficiency of the proposed method is proven by numerical calculation examples for cable networks of fixed boundary type and cable boundary type.

• 一般社団法人日本建築学会の論文
• 2011-03-25

著者

• KAWASHIMA Akira

  Dept. of Preclinical Science, Nippon Roche Research Center

• TAKEUCHI Yoshikazu

  Dept. Architecture and Architectural Eng., Graduate School of Industrial Technology, Nihon University

• HANAI Shigetaka

  Dept. Architecture and Architectural Eng., College of Industrial Technology, Nihon University.

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