In order to acquire efficient algorithms for complicated problems in structural dynamics, an improved integration algorithm with controllable numerical dissipation is developed based on a two-step explicit acceleration integration method. The improved method is a step-by-step integration scheme which is conditionally stable and robust in strongly nonlinear systems. The consistency, accuracy and the stability are analyzed for the improved method. Linear and nonlinear examples are employed to confirm the properties of the improved method. The results manifest that the improved method can be of second-order accuracy. It can be marginally stable in dynamic systems. The improved method possesses the property of energy conservation in conservative systems. Moreover, it is controllable for the numerical dissipation or algorithm damping which can be zero. The high-frequency oscillation can be effectively inhibited in a stiff problem. The spurious oscillation caused by the spatial discretization can be almost completely suppressed by the controllable numerical dissipation in a rod or a cantilever beam. It is applicable in transient and wave propagation problems.

为了获得解决结构动力学复杂问题的有效算法，基于两步显式加速度积分方法，开发了一种具有可控数值耗散的改进积分算法。改进的方法是逐步积分方案，在强非线性系统中条件稳定且健壮。分析了改进方法的一致性，准确性和稳定性。线性和非线性示例用于确认改进方法的性质。结果表明，改进后的方法具有二阶精度。它在动态系统中可能会稍微稳定。改进后的方法具有保守系统节能的特点。此外，数值耗散或算法阻尼可以为零是可控的。刚性问题可以有效地抑制高频振荡。由空间离散引起的寄生振荡几乎可以通过杆或悬臂梁中可控的数值耗散来完全抑制。它适用于瞬态和波传播问题。