The time‐integration algorithm is an indispensable element to determine response of the boundary of the numerical as well as physical parts in a hybrid test. Instability of the time‐integration algorithm may directly lead to failure of the test, so stability of an integration algorithm is particularly important for hybrid testing. The explicit algorithms are very popular in hybrid testing, because iteration is not needed. Many unconditionally stable explicit‐algorithms have been proposed for hybrid testing. However, the stability analysis approaches used in all these methods are valid only for linear systems. In this paper, a uniform formulation for energy‐consistent time integrations, which are unconditionally stable, is proposed for nonlinear systems. The solvability and accuracy are analyzed for typical energy‐consistent algorithms. Some numerical examples and the results of a hybrid test are provided to validate the effectiveness of energy‐consistent algorithms.

中文翻译：

---

能量一致的积分方法及其在混合测试中的应用

时间积分算法是确定混合测试中数字和物理零件边界响应的必不可少的元素。时间积分算法的不稳定性可能直接导致测试失败，因此，积分算法的稳定性对于混合测试尤为重要。显式算法在混合测试中非常流行，因为不需要迭代。已经提出了许多无条件稳定的显式算法用于混合测试。但是，所有这些方法中使用的稳定性分析方法仅对线性系统有效。在本文中，为非线性系统提出了能量一致时间积分的统一公式，该公式无条件地稳定。针对典型的能量一致性算法分析了可解性和准确性。