Analysis On Multi-tower High-rise Structures With A Large Podium

Based on Timoshenko beam theory, a unified computation model of multi-tower high-rise structural analysis with a large podium is proposed, which is universal in the analysis of high-rise construction structures. The function of floor is not considered as continuous, but works in the elevation, when considered from elastic support, the model is more realistic.The rigidity of tower and large podium are different in the computation of the multi-tower high-rise structure with a large podium. By the partition of the structure and the local treatment of rigidity, and according to the calculation of the parallel shear and flexural beam model, this guaranteed the versatility of the model and program realization.By the derivation of the potential energy of strain of the lateral resistance elements, elastic potential energy of coupling beams or frame beams and the force potential energy, which are corresponding in the analysis of multi-tower high-rise structure with a large podium, and the function of the floor is considered as elastic support so that its stiffness matrix can be deduced. The function of the floor is taken as a sector, which can be considered as mixed energy matrix of elastic support in the boundary, thus can participate in the merge of mixed energy of overall construction sector. Thus total potential energy expression can be established, and connecting with the Lagrange function expression, so the control equation in Simplistic system can be obtained, which is also named Hamilton dual equation.The adoption of precise integration method of two end boundary conditions can obtain the high-precision numerical solution to the question. The method of numerical solution in the Hamilton system has advantages, such as stability, convergence, high-precision, fast-speed and etc. The established procedure can be used in the preliminary analysis computation of such structure, so it provided a more accurate basis on the determination of the structural program and the completion of the preliminary design.The accuracy of the method and the reliability of computed result in this paper are validated through example analysis. And based on this, cooperative analysis, second-order analysis, and dynamic characteristic analysis of the multi-tower high-rise construction structure with a large podium are carried on, and the conclusion is: The function of floor is considered as elastic support, and the model is more realistic; The tower do not have great impact on each other but with relative independence when Static analysis is carried on. Because of a greater impact on each other, it should be considered the relevant impact when dynamic characteristics is carried on; the treatment in the places where the rigidity changes abruptly is important to the structure; Second-order analysis must be carried when vertical load is so large; Because of its complicated vibration, it should be selected enough vibration when seismic response are computing. And the conclusion, which is carried out, has some guiding value and reference value to structural design and engineering practice.Using the simplified computation model, the Hamiltonian dual system is established; with the lateral resistance elements connected by the elastic floor are considered as Timoshenko beams with shear deformation. The high accuracy numerical solutions of the system are obtained using the precise integration method of two end boundary conditions. A new method on cooperative analysis, second-order analysis and dynamic characteristic analysis of multi-tower structure with a large podium are proposed.