中文摘要：

薄膜结构是由柔性膜材作为主要受力构件的一种新型空间结构。在外荷载的作用下,膜材会产生褶皱,进而影响膜结构的受力性能和可靠性。因此,对薄膜结构的褶皱分析是十分必要的。根据屈曲理论,采用薄壳单元对张拉薄膜结构在面内荷载作用下的褶皱问题进行模拟,得到褶皱的波长、幅值及方向等信息。通过与实验结果的比较,证明该文方法的准确性和有效性。采用该方法,在准静态条件下,分析了在工作荷载下气枕式充气膜结构的形与态。在其基础上,考虑垂直于膜面与膜面内荷载共同作用下气枕的褶皱分布情况及应力状态。计算结果表明：采用薄壳单元可以模拟张拉薄膜结构与充气薄膜结构的变形、褶皱具体信息以及单元应力变化情况等。

英文摘要：

The membrane structure is a new type of space structure, whose load-bearing members are compose of flexible membranes. When a thin-film membrane structure is subjected to external loading, wrinkles usually appear on local areas, which significantly affect the performance and reliability of membrane structures. So the study on wrinkled membrane structures is desirable and essential. The thin shell elements was adopted to simulate the wavelength, amplitude and direction of wrinkled rectangle tensioned membrane structures based on buckling theory under in-plane loading. A comparison with the corresponding experimental data proved that the method were correct and effective. The form-state model of an air-inflated membrane structure was given according to the quasi-static assumption. The simulation of cushion under the combined action of in-plane loading and normal loading was carried out to illustrate the wrinkles distribution and stress state. The results showed that the thin-shell elements can be adopted to simulate the deformation, wrinkle areas and stress distribution of tensioned membrane structures and air-inflated membrane structures under external loadings.