摘要
为了建立新型液压隔膜泵用环状U型隔膜基础理论体系和设计方法,借助Ansys有限元分析软件的非线性分析工具,对其挠曲变形与变形量的关系进行了分析.以液压隔膜泵样机用环状U型隔膜为物理模型,建立了具有几何和材料双重非线性特性的环状U型隔膜的薄壁中空双层壳体有限元模型;在工作范围内,对模型固定支撑端施加固定约束,运动支撑端施加位移约束,内外表面施加面载荷,分析了模型在不同压缩、拉伸位移载荷下的挠曲变形;应用差分进化算法对环状U型隔膜挠曲变形的位移数据进行曲线拟合,通过控制均方差、相关系数和决定系数等判断标准,反复修正拟合曲线,总结了其挠曲边线的运动规律,获得了其挠曲变形曲线的等效解析解,推导了其工作容积理论计算公式;通过工程实例计算,验证了工作容积理论计算公式的可行性,为形成液压隔膜泵用环状U型隔膜工作机理及隔膜结构和优化设计方法提供了理论基础.
To establish a basic theory system and design method for a new type of annular U-diaphragm in hydraulic diaphragm pumps, the relation between U-diaphragm deflection and deformation quantity was analyzed by using the nonlinear analysis function in finite element software Ansys. A thin, hollow, double shell U-diaphragm finite element model with geometry and material nonlinear character was established for the annular U-diaphragm used in the prototype of hydraulic diaphragm pump. The deflection of the U-diaphragm model was analyzed under different compression and stretch displacements when the displacements of the supported end were fixed, the displacements of the free supported end were prescribed and the pressure loads were applied on both sides of the U-diaphragm. The computed displacements of deflection were fitted by using differential evolution method where the correct fitting curves were determined by controlling mean square diaphragm movement was clarified and an empirical error and correlation coefficient and so on. The Urelation for the deflection was obtained, eventually a theoretical formula for camber working volume was given. All the results above will provide a theoretical basis for working mechanism and design optimization of an annular U-diaphragm.
出处
《排灌机械工程学报》
EI
北大核心
2012年第3期351-355,共5页
Journal of Drainage and Irrigation Machinery Engineering
基金
浙江省科技厅重大专项(2007C11063)
关键词
U型隔膜
挠曲变形
液压隔膜泵
工作容积
解析解
U-diaphragm
deflection
hydraulic diaphragm pump
camber working volume
analytic solution