위상학적 하중 재분배 방법을 이용한 부정정 트러스 구조 해석
Indeterminate Truss Structure Analysis using Topological Load Redistribution Method
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초록
Traditional structure analysis method is based on numerical matrix analysis to use the geometries consisting of the structure. The characteristics requirea lot of computer memories and computational time. To avoid these weaknesses, new approach to analyze truss structure was suggested by adoptingtopological load redistribution method. The axial forces to be not structurely analyzed yet against outside loads were redistributed by using nodalequation of equilibrium randomly at each node without constructing global matrix. However, this method could not calculate the axial forces if structureis statically indeterminate due to degree of many indeterminacies. Therefore, to apply the method suggested in this research, all redundancies of trussstructure were replaced by unit loads. Each unit load could make the deformation of a whole structure, and a superposition method was finally adoptedto solve the simultaneous equations. The axial forces and deflections agreed with the result of commercial software within the relative error of 1 %,whereas in the case that the axial forces are relatively very smaller than others, the relative errors were increased to 2 %. However, as the values weresmall enough not to be considered, it was practically useful as a structural analysis model. This model will be used for structural analysis of truss type oflarge structure such as agricultural farming facility.
Abstract
Traditional structure analysis method is based on numerical matrix analysis to use the geometries consisting of the structure. The characteristics requirea lot of computer memories and computational time. To avoid these weaknesses, new approach to analyze truss structure was suggested by adoptingtopological load redistribution method. The axial forces to be not structurely analyzed yet against outside loads were redistributed by using nodalequation of equilibrium randomly at each node without constructing global matrix. However, this method could not calculate the axial forces if structureis statically indeterminate due to degree of many indeterminacies. Therefore, to apply the method suggested in this research, all redundancies of trussstructure were replaced by unit loads. Each unit load could make the deformation of a whole structure, and a superposition method was finally adoptedto solve the simultaneous equations. The axial forces and deflections agreed with the result of commercial software within the relative error of 1 %,whereas in the case that the axial forces are relatively very smaller than others, the relative errors were increased to 2 %. However, as the values weresmall enough not to be considered, it was practically useful as a structural analysis model. This model will be used for structural analysis of truss type oflarge structure such as agricultural farming facility.
참고문헌 (22)
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