The element-free Galerkin （EFG） method for numerically solving the compound Korteweg-de Vries-Burgers （KdVB） equation is discussed in this paper. The Galerkin weak form is used to obtain the discrete equation and ...The element-free Galerkin （EFG） method for numerically solving the compound Korteweg-de Vries-Burgers （KdVB） equation is discussed in this paper. The Galerkin weak form is used to obtain the discrete equation and the essential boundary conditions are enforced by the penalty method. The effectiveness of the EFG method of solving the compound Korteweg-de Vries-Burgers （KdVB） equation is illustrated by three numerical examples.展开更多
The exploitation of shale gas is promising due to depletion of the conventional energy and intensification of the greenhouse effect.In this paper,we proposed a heat-fluid-solid coupling damage model of supercritical C...The exploitation of shale gas is promising due to depletion of the conventional energy and intensification of the greenhouse effect.In this paper,we proposed a heat-fluid-solid coupling damage model of supercritical CO_(2)(SC-CO_(2))compound fracturing which is expected to be an efficient and environmentally friendly way to develop shale gas.The coupling model is solved by the finite element method,and the results are in good agreement with the analytical solutions and fracturing experiments.Based on this model,the fracture propagation characteristics at the two stages of compound fracturing are studied and the influence of pressurization rate,in situ stress,bedding angle,and other factors are considered.The results show that at the SC-CO_(2)fracturing stage,a lower pressurization rate is conducive to formation of the branches around main fractures,while a higher pressurization rate inhibits formation of the branches around main fractures and promotes formation of the main fractures.Both bedding and in situ stress play a dominant role in the fracture propagation.When the in situ stress ratio(δ_(x)/δ_(y))is 1,the presence of bedding can reduce the initiation pressure and failure pressure.Nevertheless,it will cause the fracture to propagate along the bedding direction,reducing the fracture complexity.In rocks without bedding,hydraulic fracturing has the lengthening and widening effects for SC-CO_(2)induced fracture.In shale,fractures induced at the hydraulic fracturing stage are more likely to be dominated by in situ stresses and have a shorter reorientation radius.Therefore,fracture branches propagating along the maximum principal stress direction may be generated around the main fractures induced by SC-CO_(2)at the hydraulic fracturing stage.When the branches converge with the main fractures,fracture zones are easily formed,and thus the fracture complexity and damage area can be significantly increased.The results are instructive for the design and application of SC-CO_(2)compound fracturing.展开更多
Based on generalized Hele-Shaw (GHS) model, a numerical simulation of phenolic sheet molding compound (P-SMC) in compression molding is realized by finite element step-by-step computing method. Finite elemental comput...Based on generalized Hele-Shaw (GHS) model, a numerical simulation of phenolic sheet molding compound (P-SMC) in compression molding is realized by finite element step-by-step computing method. Finite elemental computing and post analysis programs have been written. The compression mold filling process, time and pressure requirements of P-SMC in a closed mold are predicted, and a good agreement is shown when compared with experiments. It will be of theoretical significance for the mold design and the optimization of the technological parameters in the compression molding of sheet molding compound.展开更多
[目的]在有机无机混合肥料仿真试验中,传统参数标定方法待标定参数多,标定过程复杂。本文根据有机肥对无机肥颗粒黏附特性,提出一种新的离散元仿真接触参数标定方法。[方法]利用自由落体碰撞试验、静摩擦试验、滚动摩擦试验对复合小球...[目的]在有机无机混合肥料仿真试验中,传统参数标定方法待标定参数多,标定过程复杂。本文根据有机肥对无机肥颗粒黏附特性,提出一种新的离散元仿真接触参数标定方法。[方法]利用自由落体碰撞试验、静摩擦试验、滚动摩擦试验对复合小球和钢的接触参数进行校准;设计Plackett-Burmen Design试验、爬坡试验和Box-Behnken响应面试验,得到混合肥料接触模型最优参数,通过堆积角对比试验、有机肥和无机肥混合比例预测试验、撒肥盘颗粒分布对比试验验证最优参数。[结果]复合小球与钢的最优碰撞恢复系数、静摩擦系数和滚动摩擦系数分别为0.323、0.776、0.255;有机肥肥料之间最优碰撞恢复系数、静摩擦系数和滚动摩擦系数分别为0.40、0.70、0.14;有机肥与钢板之间的最优碰撞恢复系数、静摩擦系数和滚动摩擦系数分别为0.44、0.70、0.15;Hertz-Mindlin with JKR模型参数为0.017。最优参数进行对比验证堆积角的相对误差为1.05%,最优参数能预测不同混合比例肥料的堆积角,撒肥盘抛撒试验列分布最大相对误差为35.95%,平均误差15.86%。[结论]试验结果验证了标定方法正确性,同时为后续有机肥-无机肥-机械互作系统研究提供依据。展开更多
建立电机定子绕组等效热模型,通过对电机定转子之间气隙热传递关系的确定,给出了定转子之间的热交换问题的解决方法。以此为基础,建立复合笼条转子感应电动机(induction motor with compound cage rotor,IMCCR)电磁场和全域温度场二维...建立电机定子绕组等效热模型,通过对电机定转子之间气隙热传递关系的确定,给出了定转子之间的热交换问题的解决方法。以此为基础,建立复合笼条转子感应电动机(induction motor with compound cage rotor,IMCCR)电磁场和全域温度场二维有限元模型,通过电磁场与温度场的单向弱耦合,计算电机额定负载和不同负载时电机定转子全域稳态温度场,分析定子绕组温度及转子槽的温度,通过与实验结果的对比,验证了该电机温度场计算模型的合理性以及计算结果的正确性。研究转子槽中使用不同电阻率和磁导率材料时的电机温度场,分析不同材料特性对电机温度场分布的影响,对指导电机的优化设计具有重要意义。展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No.10871124)the Natural Science Foundation of Zhejiang Province of China (Grant No.Y6110007)
文摘The element-free Galerkin （EFG） method for numerically solving the compound Korteweg-de Vries-Burgers （KdVB） equation is discussed in this paper. The Galerkin weak form is used to obtain the discrete equation and the essential boundary conditions are enforced by the penalty method. The effectiveness of the EFG method of solving the compound Korteweg-de Vries-Burgers （KdVB） equation is illustrated by three numerical examples.
基金the funding support from the National Natural Science Foundation of China(Nos.52274093 and 52004236).
文摘The exploitation of shale gas is promising due to depletion of the conventional energy and intensification of the greenhouse effect.In this paper,we proposed a heat-fluid-solid coupling damage model of supercritical CO_(2)(SC-CO_(2))compound fracturing which is expected to be an efficient and environmentally friendly way to develop shale gas.The coupling model is solved by the finite element method,and the results are in good agreement with the analytical solutions and fracturing experiments.Based on this model,the fracture propagation characteristics at the two stages of compound fracturing are studied and the influence of pressurization rate,in situ stress,bedding angle,and other factors are considered.The results show that at the SC-CO_(2)fracturing stage,a lower pressurization rate is conducive to formation of the branches around main fractures,while a higher pressurization rate inhibits formation of the branches around main fractures and promotes formation of the main fractures.Both bedding and in situ stress play a dominant role in the fracture propagation.When the in situ stress ratio(δ_(x)/δ_(y))is 1,the presence of bedding can reduce the initiation pressure and failure pressure.Nevertheless,it will cause the fracture to propagate along the bedding direction,reducing the fracture complexity.In rocks without bedding,hydraulic fracturing has the lengthening and widening effects for SC-CO_(2)induced fracture.In shale,fractures induced at the hydraulic fracturing stage are more likely to be dominated by in situ stresses and have a shorter reorientation radius.Therefore,fracture branches propagating along the maximum principal stress direction may be generated around the main fractures induced by SC-CO_(2)at the hydraulic fracturing stage.When the branches converge with the main fractures,fracture zones are easily formed,and thus the fracture complexity and damage area can be significantly increased.The results are instructive for the design and application of SC-CO_(2)compound fracturing.
文摘Based on generalized Hele-Shaw (GHS) model, a numerical simulation of phenolic sheet molding compound (P-SMC) in compression molding is realized by finite element step-by-step computing method. Finite elemental computing and post analysis programs have been written. The compression mold filling process, time and pressure requirements of P-SMC in a closed mold are predicted, and a good agreement is shown when compared with experiments. It will be of theoretical significance for the mold design and the optimization of the technological parameters in the compression molding of sheet molding compound.
文摘[目的]在有机无机混合肥料仿真试验中,传统参数标定方法待标定参数多,标定过程复杂。本文根据有机肥对无机肥颗粒黏附特性,提出一种新的离散元仿真接触参数标定方法。[方法]利用自由落体碰撞试验、静摩擦试验、滚动摩擦试验对复合小球和钢的接触参数进行校准;设计Plackett-Burmen Design试验、爬坡试验和Box-Behnken响应面试验,得到混合肥料接触模型最优参数,通过堆积角对比试验、有机肥和无机肥混合比例预测试验、撒肥盘颗粒分布对比试验验证最优参数。[结果]复合小球与钢的最优碰撞恢复系数、静摩擦系数和滚动摩擦系数分别为0.323、0.776、0.255;有机肥肥料之间最优碰撞恢复系数、静摩擦系数和滚动摩擦系数分别为0.40、0.70、0.14;有机肥与钢板之间的最优碰撞恢复系数、静摩擦系数和滚动摩擦系数分别为0.44、0.70、0.15;Hertz-Mindlin with JKR模型参数为0.017。最优参数进行对比验证堆积角的相对误差为1.05%,最优参数能预测不同混合比例肥料的堆积角,撒肥盘抛撒试验列分布最大相对误差为35.95%,平均误差15.86%。[结论]试验结果验证了标定方法正确性,同时为后续有机肥-无机肥-机械互作系统研究提供依据。
文摘建立电机定子绕组等效热模型,通过对电机定转子之间气隙热传递关系的确定,给出了定转子之间的热交换问题的解决方法。以此为基础,建立复合笼条转子感应电动机(induction motor with compound cage rotor,IMCCR)电磁场和全域温度场二维有限元模型,通过电磁场与温度场的单向弱耦合,计算电机额定负载和不同负载时电机定转子全域稳态温度场,分析定子绕组温度及转子槽的温度,通过与实验结果的对比,验证了该电机温度场计算模型的合理性以及计算结果的正确性。研究转子槽中使用不同电阻率和磁导率材料时的电机温度场,分析不同材料特性对电机温度场分布的影响,对指导电机的优化设计具有重要意义。
