薄膜结构具有质轻、易折展等明显优点，可被广泛应用于合成孔径雷达、可展开天线、太阳帆等各种空间装备与结构中。同时，薄膜结构本身弯曲刚度很小，易产生折痕和褶皱问题，影响薄膜的形面精度，进而影响其结构和功能特性。因此，深入进行薄膜结构褶皱分析及抑制方法研究，已成为国内外的研究热点，意义重大。

本文主要工作与成果：

1. 建立了对角受拉方膜产生褶皱的理论预测与仿真分析模型，可通过基于该模型的能量法获得薄膜起皱时的临界屈曲应力，进而导出了褶皱的波长和幅值理论预测公式，为依托纤维增强结构来抑制薄膜褶皱提供了理论依据。

2. 提出了抑制薄膜褶皱的纤维增强结构方法。首先，通过预测三向纤维增强薄膜力学特性，建立了对角受拉纤维增强薄膜褶皱理论预测模型，得到其起皱的临界屈曲应力、褶皱波长与幅值的理论预测公式。其次，从褶皱波长与幅值分析了纤维增强结构对薄膜褶皱的抑制作用，得出了纤维排列间距、弹性模量、排列方向等与薄膜褶皱间的定量关系。再者，将所提方法应用于扭转圆环薄膜与剪切矩形薄膜的褶皱抑制中，得到了满意结果。

3. 建立了褶皱薄膜动态分析模型。以对角受拉方膜为对象，应用褶皱薄膜动态分析模型，深入分析了在考虑褶皱情况下，薄膜振动频率和模态的变化，并分析了褶皱构型与薄膜振动特性的相关性。对于纤维增强薄膜，分析了纤维排列间距、排列方向对其褶皱后的振动特性产生的影响。

4. 研制了1m口径径向肋式静电成形薄膜反射面天线样机。基于参与研制的静电成形薄膜反射面可展开天线样机，建立了反射面薄膜与电极膜的静、动力学褶皱分析模型，分析结果验证了本文所提出的数学模型与分析方法的正确性和有效性。

 

Mambrane structure has obvious advantages such as light weight and easy folding, and can be widely applied in various space equipment and structures such as synthetic aperture radar, deployable antenna, solar sail. At the same time, the bending stiffness of the membrane is very small, which is easy to wrinkle, affecting the shape accuracy of the membrane, and then affecting its structure and function characteristics. Therefore, it is of great significance to further research wrinkling analysis and suppression method of membrane structure.

 

The main contents of this paper:

 

1. The theoretical prediction and simulation analysis model of diagonal tensile square membrane wrinkling is established. The critical buckling stress was obtained by energy method based on the model, and the theoretical prediction formulas of wavelength and amplitude of wrinkle were obtained, which provide a theoretical basis for suppressing wrinkle by fiber reinforced structure.

 

2. A fiber reinforced structure method to suppress membrane wrinkling is proposed. Firstly, by predicting the mechanical properties of the triaxial fiber reinforced membrane, a theoretical prediction model for diagonal tensile fiber reinforced membrane was established, and the theoretical prediction formulas for the critical buckling stress, wrinkle wavelength and amplitude of the membrane were obtained. Secondly, the inhibitory effect of fiber reinforced structure on membrane wrinkling was analyzed from the wavelength and amplitude of wrinkling, and the quantitative relationship between fiber arrangement spacing, elastic modulus, arrangement direction and membrane wrinkling was obtained. Furthermore, the proposed method has been applied to the wrinkling suppression of torsional ring films and shear rectangular films, and satisfactory results have been obtained.

 

3. The dynamic characteristic analysis model of the wrinkling membrane was established.

Taking diagonally strained square membrane as the object, the dynamic analysis model of the wrinkling membrane was applied to analyze the changes of vibration frequency and modes of membrane with wrinkling, and the correlation between wrinkling configurations and vibration characteristics was analyzed. For fiber reinforced membrane, the effects of fiber arrangement spacing and direction on the vibration characteristics were analyzed.

 

4. A 1m diameter radial ribbed electrostatically controlled membrane reflector antenna prototype is developed. The static and dynamic wrinkling analysis models of the reflector membrane and the electrode membrane were established based on the deployable electrostatically controlled membrane reflector antenna prototype. The analysis results verified the correctness and effectiveness of the mathematical model and analysis method proposed in this paper.

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