To establish a basic theory system and design method for a new type of annular Udiaphragm in hydraulic diaphragm pumps, the relation between Udiaphragm deflection and deformation quantity was analyzed by using the nonlinear analysis function in finite element software Ansys. A thin, hollow, double shell Udiaphragm finite element model with geometry and material nonlinear character was established for the annular Udiaphragm used in the prototype of hydraulic diaphragm pump. The deflection of the Udiaphragm 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 Udiaphragm. The computed displacements of deflection were fitted by using differential evolution method where the correct fitting curves were determined by controlling mean square error and correlation coefficient and so on. The Udiaphragm movement was clarified and an empirical relation 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 Udiaphragm.
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