非比例阻尼弹性结构地震反应强迫解耦方法的理论背景和数值检验

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基金项目:

国家自然科学基金项目(50178007);北京市教委项目资助

THEORETICAL AND NUMERICAL RESEARCH ON FORCED UNCOUPLING METHOD FOR SEISMIC RESPONSE OF NON-CLASSICALLY DAMPED LINEAR SYSTEM

1.
1. Beijing Laboratory of Earthquake Engineering and Structural Retrofit,Beijing University of Technology Beijing 100022;
2.
2. Institute of Earthquake Engineering,China Academy of Building Research Beijing 100013

摘要: 从非比例阻尼弹性结构地震反应复振型分解法的解析表达式出发, 对强迫解耦法的实施过程、理论背景、数学近似和物理意义进行了分析;探讨了强迫解耦法的误差来源, 并对采用基于实模态的拟力迭代方法提高其精度的措施进行了讨论。研究结果不仅有助于深刻理解强迫解耦法的实质, 也有利于进一步探讨其适用范围和误差控制方法。
- 非比例阻尼 /
- 强迫解耦法 /
- 实模态
Abstract: The enforcement process and theoretical background of the forced uncoupling method, together with its meanings of mathematics and physics, are analyzed by introducing complex mode superposition formula for calculating seismic responses of non-classically damped linear system. Furthermore, the errors of the forced uncoupling method and the measures of improving its precision by using pseudo-force iteration method based on real modes are discussed. The researchful results not only contribute to comprehend deeply essential of this method, but also make for discussing its scope of application and methodology of error control.
- non-classical damping /
- the forced uncoupling method /
- real mode