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《China Mechanical Engineering》 2016-02
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A Direct Integral Method to Solve Stress and Strain of Conical Parts in Deep Drawing Process

Qin Siji;Deng Chao;Yang Li;Kong Xiaohua;Wang Yaohua;Yanshan University;  
Under the conditions of plane stress and proportional loading,differential equations of strain and stress in deformation zone of conical part in deep drawing were obtained by the method of parametric equation.After solving the differential equations under the corresponding boundary conditions in the regions of flange,die corner and conical wall of the conical part the stresses and strains might be obtained respectively in every regions by the direct integral method.The applications of the direct integral method were extended from solving the in-plane axisymmetic sheet metal forming problems to analyze conical part deep drawing process.The conical angles were equal to zero and a certain value in flange region and conical wall respectively.The die arc regions might be divided into several small segments and each of them could be taken as a conical part with constant conical angle.This method was applied to solve conical part deep drawing problems and to analyze the forming problem of axisymmetric curved parts with given profile shape.As the substitute of iteration method,the direct integral method was applied to solve nonlinear equations and the solving process could be simplified greatly.The experiments of conical part deep drawing were carried out by using 0.87mm-thick ST16 sheet and the strain distributions in flange,die arc and conical wall regions were measured.It shows that the analytical solutions by the direct integral method are accordant with experimental results.
【Fund】: 国家自然科学基金资助项目(51175451)
【CateGory Index】: TG386
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