为探究凸型加筋锥柱壳在静水压与深水爆炸载荷联合作用下的动态响应,在塑性弦线模型基础上考虑静水压载荷、锥角因素,将问题简化为求解拥有初边界值的波动方程,利用特征值展开将肋间板壳径向位移表示为无穷级数的形式,并对每个特征值计...为探究凸型加筋锥柱壳在静水压与深水爆炸载荷联合作用下的动态响应,在塑性弦线模型基础上考虑静水压载荷、锥角因素,将问题简化为求解拥有初边界值的波动方程,利用特征值展开将肋间板壳径向位移表示为无穷级数的形式,并对每个特征值计算相应的卸载时间,以此显示冲击波载荷的衰减特性。使用有限元程序Abaqus对半锥角为20°的凸型加筋锥柱壳开展最大深度500 m、最大冲击因子0.79 kg 0.5/m的水下爆炸数值模拟研究,对邻近结合处的柱段、锥段肋间板壳的理论模型计算结果进行验证对比和讨论。研究结果表明:与不计静水压相比,静水压使得肋间板壳刚度减小——最大位移出现时刻延滞,最终径向位移随水深而增大;在不同冲击因子下,理论模型与数值模拟最终径向位移误差最大为21.7%(锥段),最小为2.0%(柱段);由于锥角的存在,肋间板壳位移不再关于中心点对称分布,中心点最终位移较柱段减小40%以上。展开更多
Cold ring rolling is an advanced but complex metal forming process under coupled effects with multi-factors, such as geometry sizes of rolls and ring blank, material, forming process parameters and friction, etc. Amon...Cold ring rolling is an advanced but complex metal forming process under coupled effects with multi-factors, such as geometry sizes of rolls and ring blank, material, forming process parameters and friction, etc. Among these factors, friction between rolls and ring blank plays an important role in keeping the stable forming of cold ring rolling. An analytical method was firstly presented for proximately determining the critical friction coefficient of stable forming and then a method was proposed to determine the critical friction coefficient by combining analytical method with numerical simulation. And the influence of friction coefficient on the quality of end-plane and side spread of ring,rolling force, rolling moment and metal flow characteristic in the cold ring rolling process have been explored using the three dimensional （3D） numerical simulation based on the elastic-plastic dynamic finite element method （FEM） under the ABAQUS software environment, and the results show that increasing the friction on the contact surfaces between rolls and ring blank is useful not only for improving the stability of cold ring rolling but also for improving the geometry and dimension precision of deformed ring.展开更多
To avoid mesh distortion and iterative remeshing in mesh-based numerical analysis,a meshless approach based on element free Galerkin (EFG) method is applied to the metal forming analysis of ring compression. Discrete ...To avoid mesh distortion and iterative remeshing in mesh-based numerical analysis,a meshless approach based on element free Galerkin (EFG) method is applied to the metal forming analysis of ring compression. Discrete equations are formulated upon the moving least-squares (MLS) approximation and modified Markov variational principles for rigid-plastic/ rigid-viscoplastic (RP/RVP) material models. The penalty function is used for the incompressible condition without volumetric locking. Based on the axisymmetric mechanical model,ring tests with different friction coefficients are studied. The deformed nodal configurations and shaded contours of equivalent strains are shown by developed meshless post processor. The comparison of meshless and finite element (FE) results validates the feasibility and accuracy for meshless method to simulate metal forming process.展开更多
文摘为探究凸型加筋锥柱壳在静水压与深水爆炸载荷联合作用下的动态响应,在塑性弦线模型基础上考虑静水压载荷、锥角因素,将问题简化为求解拥有初边界值的波动方程,利用特征值展开将肋间板壳径向位移表示为无穷级数的形式,并对每个特征值计算相应的卸载时间,以此显示冲击波载荷的衰减特性。使用有限元程序Abaqus对半锥角为20°的凸型加筋锥柱壳开展最大深度500 m、最大冲击因子0.79 kg 0.5/m的水下爆炸数值模拟研究,对邻近结合处的柱段、锥段肋间板壳的理论模型计算结果进行验证对比和讨论。研究结果表明:与不计静水压相比,静水压使得肋间板壳刚度减小——最大位移出现时刻延滞,最终径向位移随水深而增大;在不同冲击因子下,理论模型与数值模拟最终径向位移误差最大为21.7%(锥段),最小为2.0%(柱段);由于锥角的存在,肋间板壳位移不再关于中心点对称分布,中心点最终位移较柱段减小40%以上。
基金The authors thank the National Natural Science Foundation of China for Key Program of China(No．50335060)the National Science Found of China for Distinguished Young Scholars(No．50225518)for the support on this research．
文摘Cold ring rolling is an advanced but complex metal forming process under coupled effects with multi-factors, such as geometry sizes of rolls and ring blank, material, forming process parameters and friction, etc. Among these factors, friction between rolls and ring blank plays an important role in keeping the stable forming of cold ring rolling. An analytical method was firstly presented for proximately determining the critical friction coefficient of stable forming and then a method was proposed to determine the critical friction coefficient by combining analytical method with numerical simulation. And the influence of friction coefficient on the quality of end-plane and side spread of ring,rolling force, rolling moment and metal flow characteristic in the cold ring rolling process have been explored using the three dimensional （3D） numerical simulation based on the elastic-plastic dynamic finite element method （FEM） under the ABAQUS software environment, and the results show that increasing the friction on the contact surfaces between rolls and ring blank is useful not only for improving the stability of cold ring rolling but also for improving the geometry and dimension precision of deformed ring.
文摘To avoid mesh distortion and iterative remeshing in mesh-based numerical analysis,a meshless approach based on element free Galerkin (EFG) method is applied to the metal forming analysis of ring compression. Discrete equations are formulated upon the moving least-squares (MLS) approximation and modified Markov variational principles for rigid-plastic/ rigid-viscoplastic (RP/RVP) material models. The penalty function is used for the incompressible condition without volumetric locking. Based on the axisymmetric mechanical model,ring tests with different friction coefficients are studied. The deformed nodal configurations and shaded contours of equivalent strains are shown by developed meshless post processor. The comparison of meshless and finite element (FE) results validates the feasibility and accuracy for meshless method to simulate metal forming process.
