Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200)
This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electricM systems with the nonconservative and the dissipative forces. Based on the invariance of discrete Hamilton act...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences;the Natural Science Foundation of Henan Province Government, China (Grant No 0511022200)
A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplec...
supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing;Chinese Academy of Sciences and the Natural Science Foundation of Henan Province Government of China (Grant No 0511022200)
DNA is a nucleic acid molecule with double-helical structures that are special symmetrical structures attracting great attention of numerous researchers. The super-long elastic slender rod, an important structural mod...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200)
A field method for integrating the equations of motion for mechanico-electrical coupling dynamical systems is studied. Two examples in mechanico-electrical engineering are given to illustrate this method.
Project supported by the National Natural Science Foundation of China (Grant No 10672143);the Natural Science Foundation of Henan Province,China (Grant No 0511022200)
This paper investigates the Lie symmetries and Noether conserved quantities of discrete non-conservative mechanical systems. The variational principle of discrete mechanics, from which discrete motion equations of sys...