Nonlinear Buckling Equilibrium Path Tracking Method Based Completely on Reduced-Order Model

A reduced-order model and path tracking technology, applied in design optimization/simulation, geometric CAD, etc., can solve the problem that the advantage of computational efficiency has not been fully exploited

Active Publication Date: 2020-04-03
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

It can be seen from this that this method is not a completely "pure" order reduction method in the whole process of path tracking, and its advantages in computational efficiency have not been fully exploited

Method used

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  • Nonlinear Buckling Equilibrium Path Tracking Method Based Completely on Reduced-Order Model
  • Nonlinear Buckling Equilibrium Path Tracking Method Based Completely on Reduced-Order Model
  • Nonlinear Buckling Equilibrium Path Tracking Method Based Completely on Reduced-Order Model

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Embodiment Construction

[0074] This example is for figure 2 The shown thin-walled curved plate is followed by an analytical method based entirely on a reduced-order model to follow the nonlinear buckling equilibrium path of the structure. The length of the straight side of the thin-walled curved plate is 508 mm, the radius of curvature corresponding to the curved side is 2540 mm, the radian is 0.1 rad, the plate thickness is 12.7 mm, the two straight sides are simply supported, and the two curved sides are free. The elastic modulus of the plate is 3102.75MPa, and the Poisson's ratio is 0.3. The geometric center of the upper surface of the thin-walled curved plate is subjected to a transverse concentrated point load.

[0075] In this embodiment, according to the length of the structural load-bearing response curve required by the user, the structural nonlinear buckling analysis of the curved plate is carried out, and the obtained displacement curve of the loading point along the load direction with ...

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Abstract

The invention discloses a reduced-order model-based structural nonlinear buckling equilibrium path tracking method. Through the method, structural nonlinear buckling analysis is carried out accordingto a structural bearing response curve length to obtain a loading point which displaces along a load direction and changes along a load curve. According to the method, residual terms in structural displacement and a reduced-order model expansion form are sufficiently considered, and the residual terms are iterated to zero on the basis of structural residual force so as to realize accurate correction of a nonlinear prediction solution; in a correction stage of the solution, condition of returning to a finite element full model to carry out calculation is not needed; a disclosed reduced-order technology is applied to a prediction link of path tracking and realized in the correction stage of the solution, so as to construct a completely pure path tracking order reduction method; the method has the characteristics of being high in structural nonlinear buckling equilibrium path analysis efficiency and good in precision, and is capable of correctly and economically assessing real bearing ability of structures; and the calculation time of the method is only 1 / 5 of that of the traditional method, so that the calculation efficiency of structural nonlinear buckling analysis is greatly improved.

Description

technical field [0001] The invention belongs to the technical field of structural mechanics analysis, and relates to an analysis method for tracking the nonlinear buckling equilibrium path of a structure entirely based on a reduced-order model, and is particularly suitable for accurate and efficient evaluation of the bearing capacity of a structure with buckling instability. Background technique [0002] As a typical structural configuration in aerospace engineering, thin-walled structures have technical advantages such as light weight, high load-bearing efficiency, and strong designability. The ultimate bearing capacity of such structures is often determined by their buckling performance, which presents obvious geometric nonlinear effects and risks in engineering applications. Therefore, nonlinear buckling response analysis of structures is an important technical link in the design of lightweight thin-walled structures. [0003] In order to take into account geometric nonli...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23G06F30/17
Inventor 梁珂孙秦
Owner NORTHWESTERN POLYTECHNICAL UNIV
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