本文主要目的在於探討雙鉸拱受水平地震力作用之面內振動反應。文中將拱模擬成均勻圓梁，並藉由擬靜態分解法將此圓拱受地震之面內振動總反應，分解成擬靜態與動力兩類反應。然後，透過理論解析分式，求得拱在水平文承運動下之擬靜態反應的理論解。接著，便可應用Newmark 數值法來計算屬於動力反應之結果。在考量固定跨度和曲率半徑情況下，拱受水平地震作用之相對位移反應將因開展角之增加而放大，並且其最大反應也並不一定會發生在拱的中點位置，此點將可作為工程設計之參考。 deflection into two parts: quasi-static and dynamic components. Then, the closed form solution of quasi-static deflection for the arch shaken by horizontal support excitations is derived using an analytical approach. Once the quasi-static solution is obtained, the dynamic part of the total deflection of the arch can be represented by a series of assumed shape functions-, and then solved by using Galerkin's method. With the utilization of Newmark's f3 method to compute the dynamic response of the arch subjected to horizontal ground excitations, the numerical results indicate that for the arch with fixed span and constant radius, the maximum relative displacements on the arch may be amplified along with the increase of subtended angle. In addition, for the arch with higher subtended angles, the maximum relative displacement needs not to occur at the mid-span.
關聯:
九十四年電子計算機於土木水利工程應用研討會論文集(I)=Proceedings of the conference on computer applications in civil & hydraulic engineering, pp.380-385
