中文摘要：

考虑系统计算运动参数的协调，运用系统的动力平衡改进Wilson-θ法积分．近似认为时间步长内，系统平衡方程与Wilson-θ法计算假定附加的系统运动约束条件的不协调程度不变，时间步长内产生的不平衡计算加速度，分量将为常量，由此导出时间步长终点的系统修正位移、速度和加速度计算式．结果表明，改进算法保留了Wilson-θ法在护≥1．37时的无条件计算稳定性．算例结果显示，当时间步长取0．28s时，改进算法减少约85％的相对误差，且明显减小了Wilson-θ法的超越现象．

英文摘要：

An improved Wilsion-θ method is proposed for step-by-step integral on dynamic equation. It is assumed that the non-coordination degree is unchanged between the dynamic equation of system and the additional kinematic constraint condition given by calculation hypothesis of Wilsion-θ method, so the nonequilibrium component of calculation acceleration would be a constant, thereby, the revised formula is educed to calculate the displacement, velocity and acceleration of system at the end of time step. The unconditional stability of Wilsion-θ method for θ≥1.37 is preserved in the improved method, and examples show that, for 0. 28 second time step, the improved method decreases the error of Wilson-θ meth od by about 85%, and the transcend of Wilsion-θ method is eliminated greatly.