运动稳定性理论在结构动力分析中的应用
STRUCTURAL DYNAMIC ANALYSIS BY MOTION STABILITY THEORY
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摘要: 本文应用李雅普诺夫一次近似理论,推导了单自由度体系及多自由度体系的非线性动力稳定判别准则。通过典型算例比较,该准则比B-R准则更加严密,适用范围也更加广泛。Abstract: Based on motion stability theory, the corresponding criteria of liapunov's stability for the SDOF and MDOF nonlinear systems are estabilished in the paper. Through analysis of a typical example, the criteria in the paper are more precise and could be used more widely than B-R criterion.