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结构能量反应的振型分解法研究

Research on modal decomposition method for structure’s energy response equation

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【作者】 常磊叶献国

【Author】 CHANG Lei,YE Xian-guo(School of Civil and Hydraulic Engineering,Hefei University of Technology,Hefei 230009,China)

【机构】 合肥工业大学土木与水利工程学院

【摘要】 文章利用振型分解理论实现了弹性体系能量方程的振型分解,得出各阶模态能量反应方程,并提出了模态能量的概念;指出结构能量反应方程可以表示为各阶模态能量方程的叠加,并给出了结构总能量反应与SDOF体系相应能量反应间的关系式。此关系式有较强的物理意义,可从能量的角度反映Pushover分析中一些方法的合理性。

【Abstract】 The modal decomposition of energy response equation of elastic system is realized in this paper,with each modal energy response equation deduced and a concept of modal energy put forward.It is pointed out that the structure’s energy response equation can be expressed as linear assembly of each modal energy response equation.A relation formula between the structure’s energy response and the corresponding energy response of Single-Degree of Freedom(SDOF) system with unit mass is proposed.This formula has a strong physical meaning and can reflect the reasonableness of some methods used in the Pushover analysis in the point of energy.

【基金】 国家自然科学基金重大研究计划资助项目(90715016);安徽省自然科学基金资助项目(070415220)
  • 【文献出处】 合肥工业大学学报(自然科学版) ,Journal of Hefei University of Technology(Natural Science) , 编辑部邮箱 ,2010年07期
  • 【分类号】TU311.3
  • 【被引频次】8
  • 【下载频次】200
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