Displacement control objective based analytic calculating method of string beam structural internal force

Abstract

The invention discloses a displacement control objective based analytic calculating method of string beam structural internal force. The analytic calculating method includes: structuring a force-bearing equilibrium equation set based on a structural static equilibrium and section internal force equilibrium, wherein the force-bearing equilibrium equation set is an equation set referring to equilibrium relations among the section bending moment Mb of an upper beam, the section shearing force Vb of the upper beam, the section axial force Nb of the upper beam as well as the section axial force T of a lower cable, the overall section bending moment Mx of the string beam and the overall section shearing force Vx of the string beam, at operational positions wherein the horizontal coordinate of the string beam is x; calculating to acquire a formula about the section bending moment Mb of the upper beam, the section shearing force Vb of the upper beam, the section axial force Nb of the upper beam and the section axial force T of the lower cable upon the horizontal coordinates x of the string beam based on the equation that the mid-span deflection of the structure is equal to the displacement control objective construction. By the application of the calculating method, the internal force of components of the upper beam and the lower cable of the string beam structure can be rapidly and accurately calculated, and data are provided for checking and calculating of section bearing force.

Description

technical field [0001] The invention belongs to the field of calculation and analysis of building structures, and relates to a calculation method of internal force of a structure, more specifically, an analytical calculation method of internal force of a suspension beam structure based on a displacement control target. Background technique [0002] Suspension girder, as a structural system with strong adaptability to architectural form and reasonable structural force, has been widely used in various sports venues, exhibition centers and multi-functional halls, and its analysis and design theory research results are also rich, but these Most of the results are obtained through model tests and refined finite element analysis, but there are few numerical calculation methods for suspension beam structures, which brings two problems to the popularization and application of suspension beam structures: one is in the planning stage, There is a lack of a method for quickly estimating...

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Problems solved by technology

[0002] Suspension girder, as a structural system with strong adaptability to architectural form and reasonable structural force, has been widely used in various sports venues, exhibition centers and multi-functional halls, and its analysis and design theory research results are also rich, but these Most of the results are obtained through model tests and refined finite element analysis, but there are few numerical calculation methods for suspensary beam structures. There is a lack of a method that can quickly estimate the cross-sectional size of the suspensive beam, and it is impossible to quickly and efficiently provide effective data support for the architectural plan; secondly, in the detailed analysis and design stage, there is a lack of a conceptual calculation that can judge the results of the finite element analysis method

[0004] The above three simplified calculation methods of suspension girders all need to solve partial differential equations, and all of them need to make some relevant assumptions such as displacement functions in the calculation process. and cannot clearly reflect the basic structural stress state

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