In order to give the reasonable width of seismic gaps to prevent the structural pounding during ground motions,the maximum relative displacement of adjacent structures is studied in this paper.The factors that may hav...In order to give the reasonable width of seismic gaps to prevent the structural pounding during ground motions,the maximum relative displacement of adjacent structures is studied in this paper.The factors that may have effects on the maximum relative displacement are discussed.As for multi-degree-of-freedom(MDOF) systems,they can be equivalent to single-degree-of-freedom(SDOF) systems with the influences of high modes neglected.The results show that the period ratio,height ratio and peak ground acceleration are the main factors that have great effects on the maximum relative displacement of adjacent structures.The maximum relative displacement of MDOF systems can be obtained from calculating the maximum relative displacement of the equivalent SDOF systems.展开更多
设D为有向图,T(D)为D的全有向图(Total-digraph),k(D)与p(D)分别为D的幂敛指数(Index of convergence)与周期(Period).本文证明了,1.对任意非平凡有向图D,p(T(D))=1,k(T(D))≤max{2p(D)-1,2k(D)+1},特别地,当D为本原有向图时,k(T(D))≤k...设D为有向图,T(D)为D的全有向图(Total-digraph),k(D)与p(D)分别为D的幂敛指数(Index of convergence)与周期(Period).本文证明了,1.对任意非平凡有向图D,p(T(D))=1,k(T(D))≤max{2p(D)-1,2k(D)+1},特别地,当D为本原有向图时,k(T(D))≤k(D)+1;当D不含有向圈时,k(T(D))=2k(D)-1;当D为有向圈C_n时,k(T(D))=2n-1.2.对任意非平凡强连通图D,k(T(D))≥Diam(D)+1.我们还证明了以上界是不可改进的最好界.展开更多
基金Supported by the State Key Program of National Natural Science Foundation of China (No. 50938008)the Fundamental Research Funds for Central Universities (No. 2012JBM077)
文摘In order to give the reasonable width of seismic gaps to prevent the structural pounding during ground motions,the maximum relative displacement of adjacent structures is studied in this paper.The factors that may have effects on the maximum relative displacement are discussed.As for multi-degree-of-freedom(MDOF) systems,they can be equivalent to single-degree-of-freedom(SDOF) systems with the influences of high modes neglected.The results show that the period ratio,height ratio and peak ground acceleration are the main factors that have great effects on the maximum relative displacement of adjacent structures.The maximum relative displacement of MDOF systems can be obtained from calculating the maximum relative displacement of the equivalent SDOF systems.
文摘设D为有向图,T(D)为D的全有向图(Total-digraph),k(D)与p(D)分别为D的幂敛指数(Index of convergence)与周期(Period).本文证明了,1.对任意非平凡有向图D,p(T(D))=1,k(T(D))≤max{2p(D)-1,2k(D)+1},特别地,当D为本原有向图时,k(T(D))≤k(D)+1;当D不含有向圈时,k(T(D))=2k(D)-1;当D为有向圈C_n时,k(T(D))=2n-1.2.对任意非平凡强连通图D,k(T(D))≥Diam(D)+1.我们还证明了以上界是不可改进的最好界.