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Shell membrane model for forecasting bending and folding characteristics of inflatable membrane beam
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A thin-film model and thin-film technology, which is applied in the field of thin-film structural mechanics and structural buckling analysis, can solve problems such as high estimated forecast value and no consideration of inflation pressure effect
Inactive Publication Date: 2012-04-18
HARBIN INST OF TECH
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[0005] The purpose of the present invention is to solve the problem of overestimating the predicted value and not considering the effect of inflation pressure in the existing prediction model of the thin-film inflatable beam's wrinkle characteristics, and to propose a shell-membrane model for the prediction of the thin-film inflatable beam's wrinkle characteristics
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specific Embodiment approach 1
[0013] Specific implementation mode one: combine Figure 1 ~ Figure 4 Describe this implementation mode, this implementation mode is established through the following steps:
[0014] Step 1: Establish a membrane model for predicting the wrinkle characteristics of the membrane inflatable beam: first, assume that the wall material of the membrane inflatable beam is a pure membrane, and combine specific wrinkle conditions to establish a membrane model for predicting the wrinkle characteristics of the membrane inflatable beam;
[0015] Step 2: Introduce the critical compressive stress to establish a thin shell model for predicting the buckling characteristics of the membrane inflated beam: introduce the critical compressive stress form of the elastic thin shell, and superimpose the bending moment generated by it on the membrane model to establish a thin shell model for predicting the buckling characteristics of the membrane inflated beam shell model;
[0016] Step 3: Determine th...
specific Embodiment approach 2
[0018] Specific implementation mode two: combination figure 1 Describe this embodiment, this embodiment will further explain the first embodiment, the establishment of the thin film model of the wrinkle characteristic prediction of the film inflatable beam in step one of this embodiment:
[0019] First, the balance equation of the structural force is established according to formula 1:
[0020] formula one p = rt ∫ 0 2 π σ 1 dθ π r 2 ;
[0021] where, p is the inflation pressure, r is the circular sectionradius of the membrane inflatable beam, t is the wall thickness of the membrane inflatable beam, σ 1 is the axial stress of the membrane inflated beam, ...
specific Embodiment approach 3
[0043] Embodiment 3: This embodiment further explains Embodiment 1. Step 2 of this embodiment introduces critical compressive stress on the basis of Step 1, and then establishes a thin shell model for predicting the buckling characteristics of a thin film inflatable beam:
[0044] Considering that the beam wall material of the film inflatable beam is an elastic thin shell, the conditions for wrinkling are:
[0045] Formula eleven σ 1 =-σ cr ;θ=θ w ;
[0046] Among them, σ cr is the critical compressive stress of the thin shell, from which the undetermined constant C of the thin shell model is determined 1 for:
[0047] formula twelve C 1 = kr cos θ w - v pr Et - σ cr E ;
[0048] Substitute Equation 12 into Equation 3 to obtain ...
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Abstract
The invention which provides a shell membrane model for forecasting the bending and folding characteristics of an inflatable membrane beam relates to the technical field of structure mechanics and the structural buckling analysis of membranes. The shell membrane model is established according to the following steps: 1, establishing a membrane model for forecasting the bending and folding characteristics of the inflatable membrane beam; 2, introducing a critical compression stress to establish a thin shell model for forecasting the bending and folding characteristics of the inflatable membrane beam; 3, determining a natural configuration and a prestressed reference configuration according to the bearing characteristic of the inflatable beam; and 4, introducing an inflation pressure effect and a correction coefficient under the prestressed reference configuration to establish a shell model for forecasting the bending and folding characteristics of the inflatable membrane beam to reduce the overestimate of a predicted value of the shell membrane model, and jointly introducing a critical compression stress formula considering the inflation pressure effect to obtain the shell membrane model for forecasting the bending and folding characteristics of the inflatable beam of the membrane. The shell membrane model of the invention is used to forecast the bending and folding characteristics of the inflatable membrane beam.
Description
technical field [0001] The invention relates to the technical field of film structuremechanics and structural buckling analysis. Background technique [0002] Membrane inflatable beams are the main load-bearing parts of large-scale spacecraft membrane structures (such as space inflatable deployment antennas and solar sails, etc.), and the end bending load is their main force-bearing condition during work. Because the wall thickness of the film inflatable beam is very thin (micron), it is easy to cause local buckling near its fixed end under the action of bending load, and even under the condition of pressure, it will produce multiple beams in the axial and circumferential directions. folds. The corresponding bending moment at the end of the inflatable beam when the wrinkles are generated is the critical buckling moment, and the wrinkles will expand rapidly along the axial and circumferential directions of the film inflatable beam with the increase of the bending moment. Wh...
Claims
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