Substructure methods in geometric nonlinear analysis of slender structures
Received:May 21, 2012  Revised:January 23, 2013
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DOI:10.7511/jslx201306002
KeyWord:structural mechanics  geometric nonlinearity  substructures  large rotation
        
AuthorInstitution
齐朝晖 大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连
孔宪超 大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连
方慧青 大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连
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Abstract:
      Along the longitudinal direction,a slender structure can be divided into several substructures on which an embedded coordinate frame is defined,there by total nodal displacements can be decomposed into the rotation of the frame and the small relative displacements with respect to the frame.Taking advantage of such deformation characteristics,we give the expressions of frame rotations and nodal displacements as well as their virtual variations,which are compatible with the definition of the embedded coordinate frames.Consequently,we presented a new substructure method for geometrically nonlinear analysis of slender structures,in which displacements of each substructure are reduced to the displacements of its boundary nodes.Compared to traditional methods of geometrically nonlinear analysis,the present method can greatly reduce the solution scale in case of not losing precision.Finally,an example shows the effectiveness of the method.