Mega-frame Structure Of The Transfer Matrix Method

This article based on the Hamiltonian system and the transfer matrix method。Proposed mega frame structure calculation and analysis of the computational model,The model calculation in the giant frame of simple, versatile。Floorslab treatment by rigid floor, Loads at the floor elevation。The framework of the main frame columns and beams separately, by flexible joints。The time frame as the main framework of the elastic foundation,Makes the model more consistent with the structural reality。Calculation of mega-frame structures,The main frame beams and columns due to its large size cross section, most of the force assumed the role of the structure, as the main lateral force resisting components。The time frame beams and columns of small size, only play a supporting role and as a component of energy consumption under earthquake。Floor at the same time responsible for the vertical load transfer to the main frame。By continuously processing the secondary framework, as the mega-elastic foundation beam element framework to ensure relevance and accuracy of the model.。Hamiltonian system by solving Timoshenko beam theory to calculate the mega frame beam and column elements of the strain potential energy and elastic strain energy in elastic foundations under external loads and external potential energy。Mega-frame structure is derived the expression of total potential energy, combined with the Lagrangian function expression and export by the Hamiltonian function, obtained in the symplectic system of equations, that is a huge framework of beams, columns of Hamilton Hamilton dual equation。By extending the state vector and state transition matrix of the extended step by step integration can be huge beam, column transfer matrix。Calculations by using both ends of the initial boundary value problems in precise integration method under computation to solve, thus attain high-precision numerical solution of the problem。Analysis method used in this article draw on to solve the Hamiltonian system under the numerical solution of a convergence, stability, convergence speed, high precision。Based on this formula for the preparation of the corresponding MATLAB programs to facilitate a preliminary analysis for the calculation of the structure。Structural design for such determination and the preliminary design of the program provides a more accurate basis for calculation.In this paper, a mega-frame structure, a new method of stress analysis, and procedures for the preparation of the corresponding MATLAB。And through specific numerical example, comparing the results with the literature, which verifies the framework of this study to analyze the giant feasibility and reliability of the force, and a giant model framework and scope of the pros and cons and make the relevant assessment .