The parallel multisection method for solving algebraic eigenproblem has been presented in recent years with the development of the parallel computers, but all the research work is limited in standard eigenproblems of ...The parallel multisection method for solving algebraic eigenproblem has been presented in recent years with the development of the parallel computers, but all the research work is limited in standard eigenproblems of symmetric tridiagonal matrix. The multisection method for solving the generalized eigenproblem applied significantly in many science and engineering domains has not been studied. The parallel region preserving multisection method (PRM for short) for solving generalized eigenproblems of large sparse and real symmetric matrix is presented in this paper. This method not only retains the advantages of the conventional determinant search method (DS for short), but also overcomes its disadvantages such as leaking roots and disconvergence. We have tested the method on the YH 1 vector computer, and compared it with the parallel region preserving determinant search method the parallel region preserving bisection method (PRB for short). The numerical results show that PRM has a higher speed up, for instance, it attains the speed up of 7.7 when the scale of the problem is 2 114 and the eigenpair found is 3, and PRM is superior to PRB when the scale of the problem is large.展开更多
由于国内门窗窗型加工设备大多处于半自动化状态,更多依赖于国外进口设备,且存在着加工效率不高、精度低等缺陷,因此提出了门窗材双端刨铣自动换刀加工中心的设计。通过对门窗材双端端头铣型加工工艺分析,完成门窗材双端刨铣自动换刀加...由于国内门窗窗型加工设备大多处于半自动化状态,更多依赖于国外进口设备,且存在着加工效率不高、精度低等缺陷,因此提出了门窗材双端刨铣自动换刀加工中心的设计。通过对门窗材双端端头铣型加工工艺分析,完成门窗材双端刨铣自动换刀加工中心结构总体布局,利用Solidworks软件对加工中心端头铣削结构进行实体建模,确定了加工中心端头铣削结构主机总体结构,并对齐头锯、端头粗铣铣削主轴的切削力和切削功率进行设计计算,得到主锯电机功率7.5 k W、铣削主轴铣削电机功率为7.5 k W,符合加工功率要求,并完成齐头锯组件、粗铣主轴组件、精铣主轴组件、榫头铣座送料结构、刀具位置调整机构、主机机架等结构的设计以及外购件的选型,最后运用ANSYS对粗铣铣削主轴进行静力学分析,得到主轴的应力、应变和变形云图,其最大应力值为10.305 MPa、最大应变值为0.051 527 mm/m、最大变形量为0.010 946 mm,且最大强度、刚度以及变形均在安全范围内,验证了铣削主轴满足设计要求。设计的自动换刀加工中心结构简单,能一次完成门窗材两边齐头、端头铣型工序,自动化程度高,效率高。展开更多
文摘The parallel multisection method for solving algebraic eigenproblem has been presented in recent years with the development of the parallel computers, but all the research work is limited in standard eigenproblems of symmetric tridiagonal matrix. The multisection method for solving the generalized eigenproblem applied significantly in many science and engineering domains has not been studied. The parallel region preserving multisection method (PRM for short) for solving generalized eigenproblems of large sparse and real symmetric matrix is presented in this paper. This method not only retains the advantages of the conventional determinant search method (DS for short), but also overcomes its disadvantages such as leaking roots and disconvergence. We have tested the method on the YH 1 vector computer, and compared it with the parallel region preserving determinant search method the parallel region preserving bisection method (PRB for short). The numerical results show that PRM has a higher speed up, for instance, it attains the speed up of 7.7 when the scale of the problem is 2 114 and the eigenpair found is 3, and PRM is superior to PRB when the scale of the problem is large.
文摘由于国内门窗窗型加工设备大多处于半自动化状态,更多依赖于国外进口设备,且存在着加工效率不高、精度低等缺陷,因此提出了门窗材双端刨铣自动换刀加工中心的设计。通过对门窗材双端端头铣型加工工艺分析,完成门窗材双端刨铣自动换刀加工中心结构总体布局,利用Solidworks软件对加工中心端头铣削结构进行实体建模,确定了加工中心端头铣削结构主机总体结构,并对齐头锯、端头粗铣铣削主轴的切削力和切削功率进行设计计算,得到主锯电机功率7.5 k W、铣削主轴铣削电机功率为7.5 k W,符合加工功率要求,并完成齐头锯组件、粗铣主轴组件、精铣主轴组件、榫头铣座送料结构、刀具位置调整机构、主机机架等结构的设计以及外购件的选型,最后运用ANSYS对粗铣铣削主轴进行静力学分析,得到主轴的应力、应变和变形云图,其最大应力值为10.305 MPa、最大应变值为0.051 527 mm/m、最大变形量为0.010 946 mm,且最大强度、刚度以及变形均在安全范围内,验证了铣削主轴满足设计要求。设计的自动换刀加工中心结构简单,能一次完成门窗材两边齐头、端头铣型工序,自动化程度高,效率高。
