A Method for Drawing Internal Force Diagram and Deformation Diagram of Rigid Frame Structure Under Complex Non-Nodal Load

Abstract

The invention relates to a method for drawing internal force diagrams and deformation diagrams of rigid frames under complex non-node loading. According to the method, a manner of only drawing internal force diagrams and deformation diagrams according to node results in post-processing of finite element analysis is changed, and node values of units and non-node loading on the units are combined to draw internal force diagrams and deformation diagrams, reflecting practical features, of high-precision continuous structures. Singular functions are adopted to accurately express different types of loading effects; errors come from node values, non-node load comprises types such as concentrated force, concentrated couple and linear distribution force and linear couple in a local sector, and load quantity and loading positions are not limited; a component between two intersections is taken as a beam unit to ensure that the quantity of model units is the least; and under a local system, an invisible internal force and deformation curve solidification relative relationship is drawn, and one-off rotation and translation are carried out to move to a practical rod position. The method has the advantages of being least in model scale, simple in program, high in computing efficiency and high in precision of drawn internal force diagrams and deformation diagrams.

Description

technical field [0001] The invention relates to a post-processing method for drawing internal force diagrams and deformation diagrams of finite elements, which combines unit nodes and non-node load effects on the units to draw high-precision continuous structure internal force diagrams and deformation diagrams that reflect actual characteristics, and is especially suitable for Draw the internal force diagram and deformation diagram of the rigid frame structure under the action of various complex non-node loads. Background technique [0002] Rigid frame structure is a common structural form in engineering. When checking and calculating the structural design, draw the internal force diagram (including bending moment diagram, shear force diagram, axial force diagram, the same below) and deformation diagram of the rigid frame structure to determine the internal force and maximum deformation of the most dangerous section. The rigid frame structure is a multi-time hyperstatically...

AI Technical Summary

Problems solved by technology

The rigid frame structure belongs to the problem of multiple hyperstatic indetermination, and there may be multiple non-node loads on the structure, so the analytical solution cannot be obtained, and only numerical methods such as finite elements can be used to solve it.

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