The Research And Application Of Displacement Finite Element Method Based On Section Mixing Energy

The present research of dual or multiple structures usually only considering the shear deformation of the frame,the shear wall(or bracing,tube structure)only considering the impact of the bending deformation of the floor slabs are linked,it only transfer the horizontal force and the bending and shearing deformation coordination of two parts.The interaction is provided by rigid links between these cantilevers,and their deformations are compatible.Different from plain solid web structure,vierendeel structure and lattice structure are wildly used in shear wall and tube structure of dual structure system,such as steel frame-shear wall structure and steel frame-core structure in practical engineering.The shear deformations for vierendeel and lattice structure occupy a high proportion of total deformation,when the structure deforms laterally under horizontal load or buckles integrally under vertical load.The shear deformations are even proportionately larger than bending deformations in some steel trusses and braced frames.That means errors are bound to produced when simplification is taken in traditional theory of structure to these structures.Both bending and shear deformations were considered,and the substructures of dual,multiple structures were considered as flexural-shear in this thesis.Under the assumption of the rigid floor,the floor,the coupling beam and the frame are used to resist the lateral force structure And the simplified model of continuous and discontinuous structure along the structure is studied.The cooperative analysis of the double and multiple anti-lateral forces is carried out.Firstly,from the total potential energy of the building structure,the Lagrangian function is written,the Hamiltonian function is introduced,the mixed energy is introduced,and the mixed energy matrix is solved by the fine integral method.Then,the structure of the structure Stiffness matrix and equivalent node load array,the integral stiffness matrix is integrated by the displacement finite element method.Finally,the boundary condition is introduced and the one-dimensional finite element method is used to solve the displacement method.The MATLAB program is prepared by the calculation step,and the lateral and internal forces of the multi-lateral force system were obtained.In this paper,four examples of multi-lateral anti-lateral force cooperative analysis are used to analyze the lateral displacement and internal force of the structure,and the results are compared with the literature.The results show that the algorithm is more suitable,Which is simple and accurate.It is not only suitable for the cooperative analysis of multiple anti-lateral structural systems,but also for the multi-lateral cross-sectional structure of the multi-lateral structural system is also applicable to the multi-lateral force structure of high-rise buildings calculation.