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用变质量梁来模拟推进剂减少的液体火箭.先以一弹簧-变质量小球系统为例,用其求解结果与解析解进行比较.再以时不变的简支梁为算例,确定多自由度系统下与结构动特性协同的自适应Newmark方法中的参数选取.最后用时变的简支梁模型模拟贮箱质量的实际变化方式,运用与结构动特性协同的自适应Newmark方法、模态叠加法、Newmark平均加速度方法(NMA法)和Fox-Goodwin方法(NMF法)对其求解.比较结果证明自适应Newmark算法对于时变系统的适用性,尤其具有高精度特性.
A variable mass beam was used to simulate a propellant-reducing liquid rocket. First, a spring-variable mass ball system was used as an example to compare the solution with the analytic solution. Parameter selection in adaptive Newmark method, which is synergistic with structural dynamic characteristics under multi-degree-of-freedom system.Finally, the time-dependent simple beam model is used to simulate the actual change of tank mass. By using the adaptive Newmark method in coordination with the structural dynamic characteristics, State superposition method, the Newmark average acceleration method (NMA method) and the Fox-Goodwin method (NMF method) are used to solve the problem. The comparison results show that the adaptive Newmark algorithm has applicability to time-varying system especially with high accuracy.