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## Upper bounds of seismic inner forces of cantilever-typed structures under the action of base rocking

WANG Qian-xin,HONG Feng (Institute of Engineering Mechanics,China Seismological Bureau,Harbin 150080,China)
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
【Fund】： 地震科学联合基金
【CateGory Index】： TU311.3
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 【Citations】
 Chinese Journal Full-text Database 1 Hits
 1 Wang Qianxin Zhang Yanhong (Institute of Engineering Mechanics, China Seismological Bureau. Harbin 150080 China) Wang Luojia (California lnstitute of Technology, California, U.S,A);THEORETICAL ENVELOPES OF SEISMIC SHEAR FORCE ANDBENDING MOMENT DIAGRAMS OFCANTILEVER-TYPED STRUCTURES[J];EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION;1998-02
 【Co-citations】
 Chinese Journal Full-text Database 2 Hits
 1 ANG Qian-xin; QU Tie-jun (Institute of Engineering Mechanics. China Seismological Bureau, Harbin 150080, China); (Architecture College, North Technology University, Beijing 100041, China);Vectorial diagrams to demonstrate mutual relationships among several kinds of seismic solutions of structure responses[J];EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION;1999-02 2 Wang Qianxin (Institute of Engineering Mechanics,China Seismological Bureau,Harbin 150080,China);RELATIONSHIPS AMONG DOMINANT MODE SOLUTION,EQUIVALENT STATIC SOLUTION AND UPPER BOUND SOLUTIONS[J];EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION;1998-03
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