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弹性多自由度系统地震输入能量的研究
Research on Seismic Energy Demand of Elastic MDOF System
【摘要】 本文介绍了基于能量抗震设计方法的基本思路和基本概念。根据振型分解法推导了弹性多自由度系统与单自由度系统弹性地震输入能量间的关系。研究表明,N个自由度弹性系统的地震输入能量可表示为N个弹性单自由度系统弹性输入能量的线性组合,组合系数与多自由度系统的振型和质量分布有关。通过时程分析算例,以El centro波输入验证了这种方法的正确性。算例结果表明,对于自由度较多的系统,可以只取前几阶振型计算即可得到足够精确的结果。
【Abstract】 The concept of energy based seismic design method is introduced in this paper.The relation between energy demand of elastic MDOF(multi-degree of freedom) and elastic SDOF(single degree of freedom) systems is derived through model expansion method.The research results indicate that input energy of elastic N degrees of freedom system can be expressed as a linear combination of N elastic SDOF systems.The coefficients depend on the distribution of mass and stiffness of MDOF system.Investigation of two examples excited by El Centro ground motion shows that the proposed method gives reasonable results.For an elastic system with large number of degrees of freedom,the first few modes are sufficient to obtain the input energy.
【Key words】 input energy; model expansion; time history analysis; multi-degree of freedom(MDOF); energy spectrum;
- 【文献出处】 工程抗震与加固改造 ,Earthquake Resistant Engineering and Retrofitting , 编辑部邮箱 ,2006年04期
- 【分类号】TU311.3
- 【被引频次】50
- 【下载频次】512