Research on Static and Dynamic Performance Transfer Theory of Curved Box Girder Bridge
|School||Xi'an University of Architecture and Technology|
|Course||Bridge and Tunnel Engineering|
|Keywords||Curved Box Girder Bridge Transfer Matrix Method Field transfer matrix Point transfer matrix Power transmission theory Lumped mass method Discrete model|
With the development of transport and urban transport networks are maturing, beautiful bridge type curve beam bridge applications become increasingly widespread. Curved box girder bridges space complex force significant force characteristics, moment and torque generated when the vertical load on the role of curved box girder structure, and influence each other, that bending - torsion coupling effect. While many experts and scholars on the curved box girder bridges a lot of research, and to achieve greater development is still not perfect, but the existing curved box girder bridge theory and computational methods. Existing theory can not fully consider the force characteristics of the complex curved box girder bridges; computer architecture analysis program developed application of existing calculation methods for the analysis of large, complex curved box beam structure, but its input data heavy workload, the calculation results do not directly reflect the structure of the state vector transfer law. The main purpose of this paper is an efficient analysis of theoretical and computational methods - the transfer matrix method, to achieve complex curved box girder bridges space force. The main contents of this paper are as follows: 1, summarized, and summarizes the existing design theory in curved girder bridges, calculation methods and scholars research progress of curved girder bridges; traces the origins and development of the transfer matrix method, elaborated transfer applications and development prospects of the matrix method. 2, the transfer matrix method for solving ideas and calculation principles derived generally straight beam plane bending field transfer matrix and point transfer matrix. 3, curved box girder bridges space analysis of the problem into horizontal and vertical analysis of the two planes, the state vector corresponding decomposed into two categories to the state of the state vector of the plane and the vertical plane (horizontal vector). 4, to establish the level of curved box girder to the discrete model, based on the horizontal plane static equilibrium equations, geometric equations, differential equations and physical equations deflection, applying its closed form solution is derived field matrix of expression; mutations static equilibrium equation, the dot matrix expressions are derived; summarizes the typical supported boundary conditions; curved box girder level to the plane the overall transfer matrix. 5 Curved Box vertical discrete model, a deflection differential equations based on the vertical plane static equilibrium equations, geometric equations and physics equations, the application of its closed form solution is derived field matrix of expression; mutations static equilibrium equation, the dot matrix expressions are derived; summarizes the typical supported boundary conditions; curved box girder vertical plane of the overall transfer matrix. 6 discrete model of curved box girder bridge pier column, pier columns two flat-field matrix expression is derived, established pier columns overall transfer matrix. 7, centralized quality establishment of curved box girder the power transmission Analysis discrete model, derived vibration dot matrix expression, overall vibration transfer matrix solving of the natural vibration frequencies and mode shapes of the curves box; modes decomposition reaction spectrum method and the transfer matrix method combined analysis of curved box girder level response to the earthquake, the earthquake horizontal plane point matrix expression is derived; application of the transfer matrix method to calculate the numerical examples demonstrate the accuracy and efficiency of the method.