Hamiltonian Dual System For Collaborative Analysis Of Mega-braced Frame-core Tube

Since the 21 st century,super high-rise buildings have developed rapidly.With the increase of building height,in order to meet people’s demand for the functional use of high-rise buildings,the innovation of structural system is more and more urgent.The mega-braced frame-core tube has great lateral stiffness and is widely used in super high-rise buildings.In this thesis,Hamiltonian mechanics method is used to make a cooperative analysis of the mega-braced frame-core tube.The mechanical characteristics,deformation characteristics and cooperative performance of the megabraced frame-core tube under three typical horizontal loads are systematically studied.The specific research contents are as follows:Firstly,according to the continuity principle,the giant frame with diagonal brace and core tube is equivalent to the cantilever beam with fixed bottom end and free upper end with flexural stiffness and shear stiffness.The calculation model of parallel Timoshenko beam with double lateral resistance structure system is established,and the mega-braced frame-core tube is analyzed.Based on the total potential energy of the structure,the total energy expression and Lagrange function of mega-braced frame-core tube are obtained.By introducing a dual variable,the Hamiltonian dual system of mega-frame-core tube with brace is derived,and the Hamiltonian canonical equation is established.The precise integration method is programmed to calculate,so as to obtain the lateral displacement and internal force of the structure.The finite element software ETABS is used to simulate the mega-braced frame-core tube.Taking concentrated load as an example,the lateral displacement and internal force obtained by Hamiltonian mechanics method are compared with those obtained by ETABS finite element software,so as to verify the feasibility of Hamiltonian method in this thesis.And the structural scheme of setting up giant diagonal braces with different cross sections is analyzed.The influence of giant diagonal brace on lateral displacement and internal force of megabraced frame-core tube is analyzed.In this thesis,Hamiltonian mechanics method is used to analyze the cooperation between mega-braced frame-core tube.The lateral displacement and internal force of the structure are solved,and the performance of the cooperation between the inner and outer tube is summarized.As the main lateral force resisting member of the structure,the giant frame with diagonal brace bears the main bending moment and shear force..The calculation of this method is simple and clear.When the Hamiltonian mechanics method is used to analyze the mega-braced frame-core tube,the overall mechanical performance of the structure can be rasped,and the structural scheme can also be calculated and analyzed quickly.