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Non-linear dynamic finite element method for determining cable-strut system static balancing state

A nonlinear dynamic and static balance technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as large amount of calculation, reduce the number of time steps, improve analysis efficiency, and easily converge.

Active Publication Date: 2009-11-18
SOUTHEAST UNIV
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Problems solved by technology

Although the force method has wider applicability than the finite element displacement method, in the balance equation established by the force method, the balance matrix is ​​asymmetrical and full, compared with the symmetric and sparse matrix of the stiffness matrix established by the displacement method, the computer More computing power is required, and the singular value decomposition of the matrix is ​​much more computationally intensive than the triangular decomposition of the stiffness matrix

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  • Non-linear dynamic finite element method for determining cable-strut system static balancing state

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Embodiment Construction

[0036] Below in conjunction with accompanying drawing, the present invention is described in further detail:

[0037] ①Initial finite element model; ②Analysis parameters, including: damping, time step, maximum allowable number of time steps, time step adjustment coefficient, total kinetic energy peak value and its time point, etc.; ③Update finite element model; ④Convergence criteria; ⑤ Test of static equilibrium state.

[0038] (1) Establish an initial finite element model

[0039] The compression rod adopts a chain rod unit hinged at both ends. The dragline can adopt two-node straight line element, two-node parabolic element, two-node catenary element, multi-node curved element or multi-fold element. In the construction stage, the cable-strut system is in a state of low stress and loose, and the curved cable element or multi-fold cable element with high precision should be used; in the construction stage of tension forming, the cable-strut system is in a high stress state, ...

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Abstract

The invention relates to a non-linear dynamic finite element method for determining cable-strut system static balancing state. In the construction processes of traction mounting and stretch-draw forming, a cable-strut system as a mechanism has super large displacement, mechanism displacement and guy cable looseness, and a conventional linear dynamic finite element method cannot obtain the static balancing state in the construction stage. The non-linear dynamic finite element method adopts form-finding analysis to establish a non-linear dynamic finite element equation by introducing inertia force and viscous damping force so as to change a static problem which is difficult to solve into a dynamic problem which is easy to solve, and gradually converge the dynamic balancing state of the cable-strut system into a static balancing state through iteration updating of the configuration of the cable-strut system. The cable-strut system is in a static unbalancing state before analysis, is in the dynamic balancing state in the analysis, and reaches the static balancing state after the convergence, namely the cable-strut system discontinuously moves (non-continuous movement) from the initial static unbalancing state to the stable static balancing state.

Description

technical field [0001] The invention discloses a method for determining the cable-rod system (including the cable structure) in the cable structure and the rod structure (such as cable dome, cable truss, cable net, cable-stayed grid structure, expandable structure, etc.) by using nonlinear dynamic finite element method. It belongs to the field of numerical simulation analysis of the construction or deployment of cable structures and rod structures, involving programming and software development. Background technique [0002] The cable-rod system is a system composed of cables or rods or cables and rods, which can be self-contained structures, such as cable domes, cable nets, cable trusses, expandable structures, etc., and can also be combined with other rigid structures to form structures, such as cable-stayed structures. Grid structure, suspension dome, string beam, etc. [0003] The on-site construction process of the cable-strut system mainly includes three steps: assemb...

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Application Information

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IPC IPC(8): G06F17/50
Inventor 罗斌
Owner SOUTHEAST UNIV
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