In the complex mode superposition method, the equations of motion for non-classically damped multiple-degree-of-freedom （MDOF） discrete systems can be transferred into a combination of some generalized SDOF complex ...In the complex mode superposition method, the equations of motion for non-classically damped multiple-degree-of-freedom （MDOF） discrete systems can be transferred into a combination of some generalized SDOF complex oscillators. Based on the state space theory, a precise recurrence relationship for these complex oscillators is set up; then a delicate general solution of non-classically damped MDOF systems, completely in real value form, is presented in this paper. In the proposed method, no calculation of the matrix exponential function is needed and the algorithm is unconditionally stable. A numerical example is given to demonstrate the validity and efficiency of the proposed method.展开更多
The parallel complex reactions of H(2Sg) + CN(X2Σ+; V=0, 1; J=0)→HCN (X1 ∑+) and HNC(X1∑+ ) have been studied by using classical trajectory method. The results show that the two reactions all have not threshold en...The parallel complex reactions of H(2Sg) + CN(X2Σ+; V=0, 1; J=0)→HCN (X1 ∑+) and HNC(X1∑+ ) have been studied by using classical trajectory method. The results show that the two reactions all have not threshold energies. When the vibration state V= 0 for CN (X2∑+ ), there is not main superior product in HCN and HNC. When V=1 for CN(X2 ∑+),HCN is the more superior product. However, it has been discovered that Herschbach rule and the angular momentum rule can been all used in the reaction system, but their using ranges change with initially relative translational energies and vibration states for the reactant CN(X2 ∑+),展开更多
基金Science Foundation of Beijing Key LaboratoryUnder Grant No. EESR2004-4
文摘In the complex mode superposition method, the equations of motion for non-classically damped multiple-degree-of-freedom （MDOF） discrete systems can be transferred into a combination of some generalized SDOF complex oscillators. Based on the state space theory, a precise recurrence relationship for these complex oscillators is set up; then a delicate general solution of non-classically damped MDOF systems, completely in real value form, is presented in this paper. In the proposed method, no calculation of the matrix exponential function is needed and the algorithm is unconditionally stable. A numerical example is given to demonstrate the validity and efficiency of the proposed method.
文摘The parallel complex reactions of H(2Sg) + CN(X2Σ+; V=0, 1; J=0)→HCN (X1 ∑+) and HNC(X1∑+ ) have been studied by using classical trajectory method. The results show that the two reactions all have not threshold energies. When the vibration state V= 0 for CN (X2∑+ ), there is not main superior product in HCN and HNC. When V=1 for CN(X2 ∑+),HCN is the more superior product. However, it has been discovered that Herschbach rule and the angular momentum rule can been all used in the reaction system, but their using ranges change with initially relative translational energies and vibration states for the reactant CN(X2 ∑+),
