时间自适应新方法及其计算效率的有效比较

New Method of Time Adaptive and Comparison of Its Computational Efficiency

为了提高数值计算的效率,针对结构动力时程分析中由时间步长引起的误差,建立了时间步长与相对误差之间的关系式,实现了满足目标误差限的时间步长自动调整,丰富了时间自适应理论研究.针对无法获取解析解的情况,相对于自适应前,采用时间自适应新方法后计算效率到底能提高多少的问题,提出了解决方法,并用具有解析解的算例进行了验证,结果显示时间自适应新方法在保证计算精度的同时,节省了60.15%的计算时间,非常有效地提高了计算效率,证实了该方法可以对自适应前后计算效率的提高进行准确有效的比较.

According to the error caused by the time step during structure dynamic time-history analysis,the relationship between the time step and relative error is established to improve the efficiency of numerical computation,which can complete the automatic adjustment of time step under the condition of meeting the target error and enrich the research of time adaptive theory.For unable to obtain analytical solutions, a solve method is proposed to calculate the improvement extent of the computational efficiency with the new time adaptive method used.Meanwhile,the solve method is verified with an analytical solution example. The results show that the new method of time adaptive saves 60. 15% of the computation time with the calculation accuracy assured,which improved the computation efficiency effectively. It is proved that the solve method can be used to calculate the improvement extent of the computational efficiency before and after the time adaptive.