韩明君, 王伟兵, 李鸿瑞, 周朝逾, 马连生. 单圆弧波纹管膜片的非线性大变形分析[J]. 工程力学, 2020, 37(1): 26-33. DOI: 10.6052/j.issn.1000-4750.2019.01.0029
引用本文: 韩明君, 王伟兵, 李鸿瑞, 周朝逾, 马连生. 单圆弧波纹管膜片的非线性大变形分析[J]. 工程力学, 2020, 37(1): 26-33. DOI: 10.6052/j.issn.1000-4750.2019.01.0029
HAN Ming-jun, WANG Wei-bing, LI Hong-rui, ZHOU Chao-yu, MA Lian-sheng. NONLINEAR LAGER DEFORMATION ANALYSIS OF SINGLE ARC BELLOWS DIAPHRAGM[J]. Engineering Mechanics, 2020, 37(1): 26-33. DOI: 10.6052/j.issn.1000-4750.2019.01.0029
Citation: HAN Ming-jun, WANG Wei-bing, LI Hong-rui, ZHOU Chao-yu, MA Lian-sheng. NONLINEAR LAGER DEFORMATION ANALYSIS OF SINGLE ARC BELLOWS DIAPHRAGM[J]. Engineering Mechanics, 2020, 37(1): 26-33. DOI: 10.6052/j.issn.1000-4750.2019.01.0029

单圆弧波纹管膜片的非线性大变形分析

NONLINEAR LAGER DEFORMATION ANALYSIS OF SINGLE ARC BELLOWS DIAPHRAGM

  • 摘要: 采用拟壳法把单圆弧波纹管膜片看作具有初始挠度圆环薄板的组合结构,用非线性大挠度弯曲理论对单圆弧膜片的非线性大变形进行了分析。选取膜片圆弧部分的最大变形处挠度为摄动参数,采用板壳理论的修正迭代法,对外周边固定内周边自由的单圆弧波纹管膜片进行了求解,由边界条件和连续性条件得到了精确度较高的二次解析解。通过波纹管膜片圆弧的矢高和波长绘制了圆弧最大挠度处的特征曲线,随着单弧膜片的矢量高度的增加,膜片的挠度非线性增大,随着单弧波纹管膜片的弧长变长,膜片的挠度非线性增加。

     

    Abstract: The single arc bellows diaphragm is regarded as the combined structure of a circular plate with initial deflection by the method of simulated shell. Based on nonlinear large deflection bending theory, the nonlinear large deformation of a single circular diaphragm is analyzed. Taking the maximum deflection of the circular part of the diaphragm as a perturbation parameter and using modified iteration method of theory of plates and shells, the nonlinear large deformation of a single circular arc bellows diaphragm with one end fixed and another end free is solved. Under boundary conditions and continuity conditions, quadratic nonlinearity analytical solutions with higher accuracy are obtained. According to the vector height of the arc and the wavelength of the arc in a single circular arc bellows diaphragm, the characteristic curve of the maximum deflection of the arc is drawn. The characteristic curve is analyzed, the deflection of the diaphragm nonlinearly increases with the increase of the vector height of the single arc diaphragm, and the deflection of the diaphragm nonlinearly increases with the increase of the arc length of the single arc bellows diaphragm.

     

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