For the constrained generalized Hamiltonian system with dissipation, by introducing Lagrange multiplier and using projection technique, the Lie group integration method was presented, which can preserve the inherent s...For the constrained generalized Hamiltonian system with dissipation, by introducing Lagrange multiplier and using projection technique, the Lie group integration method was presented, which can preserve the inherent structure of dynamic system and the constraint-invariant. Firstly, the constrained generalized Hamiltonian system with dissipative was converted to the non-constraint generalized Hamiltonian system, then Lie group integration algorithm for the non-constraint generalized Hamiltonian system was discussed, finally the projection method for generalized Hamiltonian system with constraint was given. It is found that the constraint invariant is ensured by projection technique, and after introducing Lagrange multiplier the Lie group character of the dynamic system can't be destroyed while projecting to the constraint manifold. The discussion is restricted to the case of holonomic constraint. A presented numerical example shows the effectiveness of the method.展开更多
The Shanghai Huayi Group Company plans during the 2006—2010 period to invest 25 billion RMB in Shanghai and otherregions to construct grassroots units or retrofit existing units.Approximately 6.25 billion RMB will be...The Shanghai Huayi Group Company plans during the 2006—2010 period to invest 25 billion RMB in Shanghai and otherregions to construct grassroots units or retrofit existing units.Approximately 6.25 billion RMB will be used to expand andrevamp the projects located in Shanghai Wusong base,in-展开更多
文摘For the constrained generalized Hamiltonian system with dissipation, by introducing Lagrange multiplier and using projection technique, the Lie group integration method was presented, which can preserve the inherent structure of dynamic system and the constraint-invariant. Firstly, the constrained generalized Hamiltonian system with dissipative was converted to the non-constraint generalized Hamiltonian system, then Lie group integration algorithm for the non-constraint generalized Hamiltonian system was discussed, finally the projection method for generalized Hamiltonian system with constraint was given. It is found that the constraint invariant is ensured by projection technique, and after introducing Lagrange multiplier the Lie group character of the dynamic system can't be destroyed while projecting to the constraint manifold. The discussion is restricted to the case of holonomic constraint. A presented numerical example shows the effectiveness of the method.
文摘The Shanghai Huayi Group Company plans during the 2006—2010 period to invest 25 billion RMB in Shanghai and otherregions to construct grassroots units or retrofit existing units.Approximately 6.25 billion RMB will be used to expand andrevamp the projects located in Shanghai Wusong base,in-