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This book aimed to develop a mathematical model used as design tool in order to increase the efficiency of Wind Turbines Drive Train (WTDT) using spatial multibody formulation with Euler parameter coordinates. The multibody model correctly describes the motion and inertial characteristics of simple/complex drive train. Using lagrange multipliers associated with constraints of multibody systems can calculate the reaction forces into drive train components, which enables stress analysis and design process can be establish. In recent years, mathematical models for multibody dynamic systems have become an important design and analysis tool. Multibody dynamic systems are presented by series of rigid and/or flexible links containing a wide variety of joint types. Based on the dynamic model and the obtained forces, the design process of an epicyclic gear train is applied with trade-offs optimization in terms of gearing parameters. Numerical example of one-stage transmission is presentedand the comparison with MSCADAMS software shows an excellent convergence.