- 作者: 陳培麟
- 作者服務機構: 國立成功大學土木系
- 中文摘要: 本文主要在研究儲油槽在遭受地震動後之反應,而其分析方法則同時考慮油槽,油料和半無限延伸之土層之互制作用。 首先,我們以液體波動方程式,樑之控制方程式及相關之邊界條件,導出了油料與油槽互制之勁度矩陣,然後再導出 油槽與半無限土層互制之勁度矩陣。而最後三者互制之勁度矩陣,則以文章所明示之方法求出。 然後,我們以一九八一年一月二十九日在中正紀念堂所得到之地震記錄?油槽底部之輸入地震動,以計算出滿油槽和 空油槽在上,中,下各點之反應。因此,由所得之結果顯示,在油桶上部之加速度往往比下部所得者要大得多,此乃由於成 層土層對加速度有放大作用,同時由於滿油桶有較大之慣量,因此,其加速度反應將較空油桶者?小。至於油桶所承受之內 能,在其上部及下部位置所得到之彎矩及剪力,對於滿油桶而言,有較小之振幅,然而,在油桶之中部,空油桶卻具有較大 之振幅,這大概是由於在油桶之中部較易發生複雜之異相之互制作用之緣故吧。
- 英文摘要: The responses for the oil tank embedded in subsoil are studied in this investigation by considering the oil, tank and semi-infinite soil media interacting simultaneously during the period of vibration due to seismic motion. With the wave equation for liquid, the governing equation for beam and the related boundary conditions, the stiffness matrix for a tank is formulated for when it interacts with oil, and that for semi-infinite soil media is also found in the subsequent procedures. Then, the overall stiffness matrix for the system of oil, tank and layered soil media is obtained by assembling the above two matrices with suitable procedures, which are explained in the text. The seismic motions recorded in Chung-Ching Memorial Hall for the Jan. 29, 1981, earthquake are adopted as the input motion in the base of the tank and, when we calculate the responses at the three selected upper, middle and lower locations for full oil and empty tank, we find that the acclerations at the upper location have a larger vibration amplitude due to the amplification effect of the layered soil media, and less acceleration is obtained in the full oil tank due to its larger inertia compared with that of the empty tank. As for the potential energy, the responses of bending moment and shear force have less amplitude for the full oil tank in the upper and lower locations; however, those obtained in the middle part are just the opposite. This may be due to the complicated out of phase interactions between them.
- 中文關鍵字: stiffness matrix; liquid wave; semi-infinite soil media; interaction effect
- 英文關鍵字: --