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Static Analysis Method of a Solution to Critical Loads of Simple Structure Systems

Author: SunLu
Tutor: LiuWanCheng
School: Northeast Forestry University
Course: Bridge and Tunnel Engineering
Keywords: Geometric nonlinearity Analytical static method And eccentric subject to the lever Moment magnification factor Portal frame
CLC: TU311.4
Type: Master's thesis
Year: 2009
Downloads: 63
Quote: 0
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Abstract


Nonlinear problems of structural mechanics including consideration of the impact of the axial force non - perfect system of internal forces , deformation analysis , and improve the system and improve the system stability of two types of problems . Due to the complexity of the problem , a variety of structural mechanics textbooks rarely involved in the first category , the more cumbersome method of solving the structure of the critical load . This paper presents a new analytical method , the two types of nonlinear problems were unified into a few parameters for expression of the the lever deflection curve equation coefficients to be determined under the boundary conditions and the balance of forces to solve the problem , simplifies the calculation process . The deflection curve equation is determined by analyzing the degree of freedom of the strut deflection curve , determine the structural stability or instability criteria . As a non - perfect system nonlinear analysis of example, this paper analytical method for solving the the eccentric lever bending moment increases coefficient and structural instability criterion of analytical methods , stability analysis . Introduced in the static method , the analytical expression of the the lever deflection curve equation , the boundary conditions of the structure and the force equilibrium condition can be directly derived structural instability of the critical equation , a stability analysis method , called analytic static force method . This paper presents the steps of the analytical method for solving the problem of stability of the strut branch point , a the structure different support conditions strut stable equation derived analytically . Solving the critical load of the portal frame the analytical static method , the change of the beam-column linear stiffness ratio of the critical load . For simple structural system , such as portal frame shear conditions , the use of this method can be exported simple formula . And the numerical solution of the widely used finite element method, difference method , compared with the concept of clear, simple steps , accurate calculation . In this paper, theoretical analysis and examples argument, the argument the analytical static method theoretical significance and practical value . We believe that this method has broad application prospects , and its application to complex structures from simple structures to promote an effective complement to the now widely used in various non-linear analysis method .

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CLC: > Industrial Technology > Building Science > Building structure > Structure theory to calculate > Structural Mechanics > Calculation method
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