~*-regular semigroups may be regarded as algebras with the binary operation ofmultiplication and the unary operation of involution. They form a variety R~*,
Hollow cylinders are widely used in spacecraft, rockets, weapons, metallurgy, materials, and mechanical manufacturing industries, and so on, hydraulic bulging roll cylinder and hydraulic press work all belong to hollo...Hollow cylinders are widely used in spacecraft, rockets, weapons, metallurgy, materials, and mechanical manufacturing industries, and so on, hydraulic bulging roll cylinder and hydraulic press work all belong to hollow cylinders. However, up till now, the solution of the cylinder subjected to the pressures in the three-dimensional space is still at the stage of the analytical solution to the normal pressure or the approximate solution to the variable pressure by numerical method. The analytical solution to the variable pressure of the cylinder has not yet made any breakthrough in theory and can not meet accurate theoretical analysis and calculation requirements of the cylindrical in Engineering. In view of their importance, the precision calculation and theoretical analysis are required to investigate on engineering. A stress function which meets both the biharmonic equations and boundary conditions is constructed in the three-dimensional space. Furthermore, the analytic solution of a hollow cylinder subjected to exponential function distributed variable pressure on its inner and outer surfaces is deduced. By controlling the pressure subject to exponential function distributed variable pressure in the hydraulic bulging roller without any rolling load, using a static tester to record the strain supported hydraulic bulging roll, and comparing with the theoretical calculation, the experimental test result has a higher degree of agreement with the theoretical calculation. Simultaneously, the famous Lam6 solution can be deduced when given the unlimited length of cylinder along the axis. The analytic solution paves the way for the mathematic building and solution of hollow cylinder with randomly uneven pressure.展开更多
Zhuzi （Zhu Xi）, Zhang Nanxuan and Lu Donglai continued a discussion begun by Hu Wufeng and his disciples on the subject of＂knowing the form of benevolence,＂ and ＂seeking for a true mind in an absent one.＂ One re...Zhuzi （Zhu Xi）, Zhang Nanxuan and Lu Donglai continued a discussion begun by Hu Wufeng and his disciples on the subject of＂knowing the form of benevolence,＂ and ＂seeking for a true mind in an absent one.＂ One result of their discussion was to make people realize that innately good knowledge and ability are not only manifested in loving one＇s parents and respecting one＇s elders, but also in the simple acts of drinking when thirsty and eating when hungry. This generated the idea of ＂manifestation range of innately good knowledge and ability.＂ However, another conclusion of this discussion claimed that if the desire to drink and eat or the king of Qi＇s grudging an ox are included in this range, there would be a danger of viewing innately good knowledge and ability merely as inborn human nature or instinct. This discussion reveals an unsteady relationship between innately good knowledge and ability and the feeling of commiseration, which are sometimes united and sometimes separate.展开更多
文摘~*-regular semigroups may be regarded as algebras with the binary operation ofmultiplication and the unary operation of involution. They form a variety R~*,
基金supported by National Natural Science Foundation of China (Grant No. 50875230)
文摘Hollow cylinders are widely used in spacecraft, rockets, weapons, metallurgy, materials, and mechanical manufacturing industries, and so on, hydraulic bulging roll cylinder and hydraulic press work all belong to hollow cylinders. However, up till now, the solution of the cylinder subjected to the pressures in the three-dimensional space is still at the stage of the analytical solution to the normal pressure or the approximate solution to the variable pressure by numerical method. The analytical solution to the variable pressure of the cylinder has not yet made any breakthrough in theory and can not meet accurate theoretical analysis and calculation requirements of the cylindrical in Engineering. In view of their importance, the precision calculation and theoretical analysis are required to investigate on engineering. A stress function which meets both the biharmonic equations and boundary conditions is constructed in the three-dimensional space. Furthermore, the analytic solution of a hollow cylinder subjected to exponential function distributed variable pressure on its inner and outer surfaces is deduced. By controlling the pressure subject to exponential function distributed variable pressure in the hydraulic bulging roller without any rolling load, using a static tester to record the strain supported hydraulic bulging roll, and comparing with the theoretical calculation, the experimental test result has a higher degree of agreement with the theoretical calculation. Simultaneously, the famous Lam6 solution can be deduced when given the unlimited length of cylinder along the axis. The analytic solution paves the way for the mathematic building and solution of hollow cylinder with randomly uneven pressure.
文摘Zhuzi （Zhu Xi）, Zhang Nanxuan and Lu Donglai continued a discussion begun by Hu Wufeng and his disciples on the subject of＂knowing the form of benevolence,＂ and ＂seeking for a true mind in an absent one.＂ One result of their discussion was to make people realize that innately good knowledge and ability are not only manifested in loving one＇s parents and respecting one＇s elders, but also in the simple acts of drinking when thirsty and eating when hungry. This generated the idea of ＂manifestation range of innately good knowledge and ability.＂ However, another conclusion of this discussion claimed that if the desire to drink and eat or the king of Qi＇s grudging an ox are included in this range, there would be a danger of viewing innately good knowledge and ability merely as inborn human nature or instinct. This discussion reveals an unsteady relationship between innately good knowledge and ability and the feeling of commiseration, which are sometimes united and sometimes separate.
