Method for calculating Euler angles of beam units of curved-surface single-layer latticed shells

Abstract

The invention discloses a method for calculating Euler angles of beam units of curved-surface single-layer latticed shells. The method comprises the following steps of: triangulating a curved-surfacesingle-layer latticed shell; establishing a node file node.text and a coordinate file element.text; finding out a set of nodes connected with a certain node, wherein each node in the set forms a beamunit with the node; for any beam unit, solving a directional third point coordinate vector; assuming that a vector corresponding to a Z axis in a global coordinate system is Z=[0, 0.1], solving a vector of each axis of a local coordinate system; and solving that an Euler angle BETA of a spatial beam is angle between a local coordinate axis z and a local coordinate axis z0 of a spatial beam, a mainplane of which is a vertical surface. The method can be used for calculating programming operation, has high calculation precision and calculation efficiency, can satisfy the requirements for large-scale curved-surface single-layer latticed shell design, is suitable for processing of multiple complicated curved surfaces, and is capable of processing problem of calculating Euler angles of beam units of large-scale curved-surface single-layer latticed shells.

Description

technical field [0001] The invention relates to, in particular to a calculation method for the Euler angle of a single-layer reticulated shell beam element on a curved surface. Background technique [0002] The curved single-layer reticulated shell has the advantages of large applicable span and beautiful appearance, so this type of structure is widely used in the roof form of large-span public buildings. However, when the cross-section of the beam element in the single-layer reticulated shell on the curved surface is box-shaped or I-shaped, there is a problem with the orientation of the beam element in space. At present, this problem is generally solved by the third point orientation of the beam element or the Euler angle orientation of the beam element. [0003] In the past, manual calculations were used to calculate the third point of the beam element or the Euler angle of the beam element, which was labor-intensive, time-consuming, extremely inefficient, and error-prone....

AI Technical Summary

Problems solved by technology

[0007] The technical problem to be solved by the present invention is that the orientation problem of the beam element of the current curved surface single-layer reticulated shell is not applicable to any curved surface

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