针对以往研究只考虑充气内压的预应力效应,且存在褶皱判据定义不科学的问题,该文依据薄膜材料褶皱的基本理论,采用"最小主应力为零"作为薄膜褶皱判据,以承受端部集中载荷而弯曲的充气悬臂梁为研究对象,基于Euler-Bernoulli梁模型,加入了压力追随效应修正,推导了充气悬臂梁挠度计算的基本方程,并给出了可行的求解方法及计算程序。搭建了充气悬臂梁非线性挠曲变形行为的实验平台,设计了力控制与位移控制相结合的加载方式,并采用非接触式的位移测量方式,进行了充气悬臂梁的弯曲挠度实验研究,分析了充气内压对充气悬臂结构承弯能力和弯曲刚度的影响。理论计算和实验结果的对比分析表明进行充气悬臂梁的弯曲挠度计算时,压力追随效应的贡献非常重要而不可忽视。
A calculated model based on Euler-Bernoulli beam is established by adopting the criterion of zero minor principal stress and considering effects of internal pressure.An iterative solving method is proposed and the corresponding program is created in MATLAB platform.Then an experiment set-up is designed to measure the deflection of an inflatable cantilever beam.A combined loading control method is used to apply the tip load on the beam,and the tip displacement is picked up by a laser displacement sensor.Comparisons between experimental and calculated results show that the pressure following effect contributes to its load-carrying capabilities and the bending stiffness is so evident that should not be neglected.