The Mixed Energy Of The Two Order Analysis Of Multiple Lateral Force Resistant Structural Systems Finite Element Method

The multiple lateral force resisting structure system combines the flexural performance of shear walls,cylinders,bracings and shear strength of frames,and works together through floors and connected beams to resist external loads.The multiple anti lateral force system is well combined with the advantages of both,so the application in practical engineering is becoming more and more extensive.With the increasing structure of the high-rise building,the self weight of the structure is increasing,and the lateral stiffness of the structure is relatively reduced.When the horizontal load of structure by the lateral displacements in the construction,due to eccentric vertical load on the wall and column axis will produce additional bending moment on the structure and further produce displacement to a certain extent.The additional internal force caused by vertical load in the deformed structure occupies a certain proportion in the internal force of the section.The "two order effect" caused by the lateral displacement and vertical load of the structure is also bigger and bigger,so it can not be ignored in the structural design.This paper studies the parallel Timoshenko beam model,considering the shear deformation and bending deformation of building structure.The total potential energy of the structure as the starting point,establish the Hamiltonian solution system for analysis of multiple anti lateral force structure,then according to the interval mixed energy relationship with the Hamiltonian function between the extraction interval mixed energy matrix,and then from the section of the mixed energy matrix,Dan Yuangang matrix derived section and equivalent node loads array,and then by the element stiffness the burden of proof in the stiffness matrix of whole building structure,and introducing the boundary conditions is solved by the displacement finite element method.The unknown quantity of the structure is solved by the MATLAB program.In this paper,by using the above method,the two order effect problems of double and multiple side force structure,such as frame shear wall structure and tube structure,are analyzed and calculated.Finally,the accuracy of the method is obtained by comparing the results of high precision numerical solution with the results of literature and finite element analysis.