多体系统动力学刚性方程广义-α投影法

利用约束投影方法，将广义-α方法进行改进应用于多体系统动力学刚性方程求解．与位移约束、速度级约束和加速度级约束投影的结合可以使各级约束在长时间仿真情况下能够同时在较高精度上得到保持；将能量保持作为约束流形进行投影，可以在长时间仿真时将能量变化控制在较小范围内，避免广义-α方法引入数值阻尼后产生的能量衰减问题．

Generalized-a projection method for stiff dynamic equations of multibody systems

A modified generalized-α method is presented for stiff dynamic equations of multibody systems based on the constraints projection method. Combine of the projection on constraints manifolds, the displacement constraints, velocity constraints and acceleration constraints are preserved in the high order accuracy during long time simulation. The total energy is controlled in a small scale when the projection on the energy-conservation constraint is combined in the generalized-αmethod at each discrete step, which can avoid the increase dissipation of total energy under the numerical dumpling during long time simulation.