EIGENFREQUENCY SHIFT IN THE NEWMARK TIME INTEGRATOR
EIGENFREQUENCY SHIFT IN THE NEWMARK TIME INTEGRATOR
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NEWMARK 时间积分器中的特征频率偏移
DOI：
10.1142/s0219455406002040
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发表时间：
2006
影响因子：
3.6
通讯作者：
A. Pavic
中科院分区：
文献类型：
--
作者：
H. Askes;A. Pavic
本技术说明旨在阐明数值时间积分方案（如Newmark方法）对系统本征频率的影响。与一个简单的分析三个连续的时刻，它示出的时间离散化系统的本征频率是不同的，从原来的（连续）系统的本征频率，并且该频移取决于所施加的时间步长的大小。因此，它会影响自由振动和受迫振动。特别是，对于共振时的强迫振动分析，激励频率必须与时间离散化系统的本征频率匹配，而不是与时间离散化之前系统的本征频率匹配。
This technical note aims to clarify the influence of numerical time integration schemes (such as the Newmark method) on the eigenfrequency of the system. With a straightforward analysis of three consecutive time instants it is shown that the eigenfrequency of the time-discretized system is different from the eigenfrequency of the original (continuous) system, and that this frequency shift depends on the magnitude of the applied time step. As such, it affects both free and forced vibrations. In particular, for the analysis of forced vibrations at resonance the excitation frequency must be matched with the eigenfrequency of the time-discretized system rather than the eigenfrequency of the system prior to time discretization.