The effects of solution transformations to the six- and eight-vertex systems are discussed. There are four kinds of effects, the Hamiltonian of the system is invariant, its coupling coefficients change, some additiona...The effects of solution transformations to the six- and eight-vertex systems are discussed. There are four kinds of effects, the Hamiltonian of the system is invariant, its coupling coefficients change, some additional terms appear in the Hamiltonian, and the spin of the system is rotated by some angle about axis under these transformations. In all the cases, the systems are still integrable if they are so before the transformation.展开更多
Focusing on the stability of surrounding rock around the roadway driving along next goaf with a narrow coal pillar, a mechanics model of the triangle block structure of main roof above the roadway is established, and ...Focusing on the stability of surrounding rock around the roadway driving along next goaf with a narrow coal pillar, a mechanics model of the triangle block structure of main roof above the roadway is established, and the sliding stability coefficient K 1 and the rotation stability coefficient K 2 are proposed to describe the stability of the triangle block structure quantitatively. The structure can keep a self stability before and after the roadway excavation, at the stage of mining induced effect, the stability of the structure is lowered, and the structure may become instability with decreasing the coal strength, increasing the mining height of working face and the mining depth.展开更多
文摘The effects of solution transformations to the six- and eight-vertex systems are discussed. There are four kinds of effects, the Hamiltonian of the system is invariant, its coupling coefficients change, some additional terms appear in the Hamiltonian, and the spin of the system is rotated by some angle about axis under these transformations. In all the cases, the systems are still integrable if they are so before the transformation.
文摘Focusing on the stability of surrounding rock around the roadway driving along next goaf with a narrow coal pillar, a mechanics model of the triangle block structure of main roof above the roadway is established, and the sliding stability coefficient K 1 and the rotation stability coefficient K 2 are proposed to describe the stability of the triangle block structure quantitatively. The structure can keep a self stability before and after the roadway excavation, at the stage of mining induced effect, the stability of the structure is lowered, and the structure may become instability with decreasing the coal strength, increasing the mining height of working face and the mining depth.