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基底摇摆运动作用下伸臂结构的地震内力上界
Upper bounds of seismic inner forces of cantilever-typed structures under the action of base rocking
【摘要】 本文推演出基底摇摆运动作用下刚度任意分布的伸臂结构的上界地震剪力和弯矩计算公式:( Qi,i+1) 主,次上界 = W1(i)I±L(i)2 ·Hα(1),(2)ɡ (13 ,14)( Mi) 主,次上界 = J2(i)I±K(i)2 ·H2 α(1) ,(2)ɡ (25 ,26)式中, W1 = ◎nj = i + 1 wj; L= ◎nj= i + 1 wjζj; I= ◎nj = 1 wjζ2j; J2 = ◎nj = i + 1 wjζ2ij; K= ◎nj = i + 1 wjζijζjH 为全高, α= α(ω) 为全角加速度反应谱。公式十分简明, 可作为工程分析研究的有力工具
【Abstract】 In this paper,the formulas for calculating upper bounds of seismic shear force and bending moment of cantilever-typed structures with arbitrary distribution of rigidity under the action of base rocking motion are de rived:(Q\-\{i,i+1\})\-\{\%prin,sec \%UB\}=W\-1(i)I±L(i)2\5Hα\+\{(1),(2)\}g(13,14) (M\-i)\-\{\%prin,sec UB\%\}=J\-2(i)I±K(i)2\5H\+2α\+\{(1),(2)\}g(25,26)where W\-1= nj=i+1 w\-j ;L= nj=i+1 w\-jζ\-j ;I= nj=1 w\-jζ\+2\-j ;J\-2= nj=i+1 w\-jζ\+2\-\{ij\} ;K= nj=i+1 w\-jζ\-\{ij\}ζ\-\{j\};Hheight of the structure;α=α(ω)response spectrum of angular acceleration These formulas are very simple and clear They may be used as convenient tools for analysis in engineering practice
【Key words】 rocking motion; response spectrum of angular acceleration; upper bound solution; superposition solution;
- 【文献出处】 地震工程与工程振动 ,EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION , 编辑部邮箱 ,1999年03期
- 【分类号】TU311.3
- 【被引频次】3
- 【下载频次】44