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为研究内压及壁厚对充气支撑结构固有频率和振型的影响,对不同壁厚的充气支撑结构施加适量的内压,应用薄壳的无矩理论求解出充气支撑结构的应力,并以此应力作为结构的预应力求解多自由度系统的动力学基本方程进行模态计算,采用兰索斯法提取了结构的固有频率和振型的分析结果。结果表明:在0～5 000 Pa的压力范围内,低阶频率几乎不受内压的影响,而高阶振动频率随着内压的增大而增大,内压对结构高阶频率的影响是不可忽视的;内压在影响结构固有频率的同时也改变了结构的振型;低阶频率几乎不受壁厚变化的影响;内压的存在降低了壁厚对结构高阶振动频率的影响。
In order to study the effect of internal pressure and wall thickness on the natural frequencies and mode shapes of inflatable support structure, an appropriate amount of internal pressure is applied to the inflatable support structures with different wall thicknesses. The stress of the inflatable support structure is solved by the momentless theory of thin shell. The stress is used as the basic equation of dynamics for solving the multi-degree-of-freedom system of structural prestressing, and the analysis results of natural frequency and mode shape of the structure are extracted by using Lansos method. The results show that the low-order frequency is almost independent of the internal pressure in the pressure range of 0-5000 Pa, while the high-order vibration frequency increases with the increase of the internal pressure. The effect of internal pressure on the higher-order frequency of the structure Which can not be neglected. The internal pressure changes the mode shape of the structure while affecting the natural frequency of the structure. The low-order frequency is hardly affected by the wall thickness variation. The internal pressure reduces the influence of the wall thickness on the high-order vibration frequency of the structure .