Static And Dynamic Analysis Of Frame-tube Supported On Tube-in-tube Structure

Accompanied with the progress of construction technology, high-rise buildings have developed rapidly. Frame-tube supported on tube-in-tube is characterized by the frame which consists of large beam cross section but small intercolumniation. The structure owns the features of large lateral stiffness and torsional rigidity. The most important controlling factors during the period of the preliminary design are horizontal displacement under horizontal load and the natural frequency of vibration under the dynamic analysis, therefore, considering the technical indicators above, following questions have been discussed:1) Equivalence theory of frame-tube supported on tube-in-tube has been introduced. Following the principle of equivalent stiffness according to the characteristic of shear-wall structure of high-rise building and finite strip element method, an equivalent model with tube-in-tube with circular section, has been given.2) Theoretical analysis on the static and dynamic characteristics of high-rise building has been completed. According to the Hamilton duality system, the state space equation has been established. With the inspiration of precise integration and matlab program, the calculate of the structure on static and dynamic features has been finished. Eventually, the horizontal displacement under horizontal load and the natural frequency of vibration under the dynamic analysis have been solved.3) The analysis between the theoretical results and the finite element’s has been compared. In this thesis, numerical simulation of the original model and the equivalent model have been finished respectively. Through the analysis, the lateral displacement, natural frequency and the mode of vibration have been gotten, which lay the foundation for further analysis.4) Results of static analysis show that the error of the maximum displacement between theoretical model and the finite element is within 2 mm, and the error of internal force is within 5%; Results of dynamic analysis also show that the error of fundamental frequency between theoretical model and the finite element is in the range of 10%.