This thesis provides a complete solutiom of many-body dynamics problems and supplies proof of this solution theoretically.

Modeling of Positioning Error for Five-Axis NC Machining Center Based on Multi-body System Theory;

Parametric modeling technique for multi-body system simulation platform;

Improvement and simulation of Mid-point mensuration for multi-body system;

By using the genetic algorithm with a many-body Gupta potential, the structures and stabilities of aluminum and nickel clusters and small aluminum-nickel nanoalloy clusters are studied.

In this paper, with a genetic algorithm we study the structures andstabilities of aluminum and nickel clusters and aluminum-nickelnanoalloy clusters, modeled by many-body Gupta potential, It makesclear that for pure nickel clusters, the lowest structures are based onicosahedral packing, while the pure aluminum clusters tend to formamorphous structures.

Numerical method for Lyapunov exponents of multibody systems with constraints;

Acceleration decomposition method for the dynamics of constrained multibody systems;

Implicit numerical algorithm for dynamical equations of the multibody systems with singularity position;