Feng En-min

A Method for Topological Optimization of Structures with Discrete Variables under Dynamic Stress and Displacement Constraints

A method for topological optimization of structures with discrete variables subjected to dynamic stress and displacement constraints is presented. By using the quasistatic method, the structure optimization problem under dynamic stress and displacement constraints is converted into one subjected to static stress and displacement constraints. The comprehensive algorithm for topological optimization of structures with discrete variables is used to find the optimum solution.

On the application of the ABS algorithm to linear programming and linear complementarity

In this paper, we discuss the application of the ABS algorithm to the simplex method, the dual simplex method, the linear complementary problem. We consider the ABS formulation of the stopping criterion, the search direction, the minimal rule to determine the vectors entering and leaving the basis matrix and the updating of the Abaffian matrix after a basis vector exchange. The Lemke algorithm for the LCP problem is reformulated in terms of the ABS procedure

An integrative model and analysis of cell cycle in fission yeast

According to the recent investigation on cell cycle of fission yeast, a mathematical dynamic model is formulated. Four cyclins, e.g. Puc1, Cig1, Cig2 and Cdc13, are investigated here. The interacting networks between the cyclins and the process of cell cycle are mathematically described. The functions of these cyclins are particularly analyzed. Comparison among different mutants indicates that the cyclins play an important role in cell cycle.

BLOCK PIVOT METHODS FOR SOLVING FRICTIONAL CONTACT PROBLEMS

Based on elementary group theory, the block pivot methods for solving two-dimensional elastic frictional contact problems are presented in this paper. It is proved that the algorithms converge within a finite number of steps when the friction coefficient is “relative small”. Unlike most mathematical programming methods for contact problems, the block pivot methods permit multiple exchanges of basic and nonbasic variables.

An optimal model and its identification for the thermodynamics of kerogen evolution

In this paper, a mathematical model with respect to the optimal identification of the thermodynamic parameters is established. The identifiability of the dynamics problem is proved and necessary conditions of the optimality are given.