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 本文是以動力方法分析多跨度的水平圓曲樑。用直接勁度法可導出水平曲 樑之動力勁度矩陣, 藉由動力勁度矩陣可求不同形狀斷面曲樑之自然頻率 及節點動力彎矩。數個實例闡釋了此方法之應用, 並顯示出迴轉慣量效應 、剪力變形效應、翹曲效應、扭轉效應及曲樑展開角度對樑動態行為產生 的影響。首先的實例是針對曲樑之自然振動; 在這些例子中改變斷面大小 以探討翹曲所產生的影響。在每個例子中分別有三種情況: case(a) 考慮 迴轉慣量、剪力變形、翹曲及扭轉慣量效應; case(b) 考慮迴轉慣量、剪 力變形及扭轉慣量效應; case(c) 考慮迴轉慣量、剪力變形及翹曲效應。 最後一個實例是針對一受動力均佈載重的強迫振動曲樑作分析, 結果顯示 了分別考慮case(a), case(b), case(c) 的節點動力彎矩值, 最後並令外 力頻率為零以求得靜態情形下之彎矩值。
 The thesis is devoted to the dynamic analysis of horizontally circular curved beams. The direct stiffness method is used to derived the dynamic stiffness matrix for finding the natural frequ- encies and joint moments of curved beams having different rectangular cross-sections. Several examples are presented to illustrate the appli- cation of the proposed method and to show the effects of rotatory inertia, shear deformation, torsional inertia, warping and opening angle of the arc on the beam. The first examples are for the free vibration of the beam. In these exampl- es, beams with different thickness are used for finding effects of warping. In each example, there are three cases; case(a) consider rotatory inertia, shear deformation, torsional inertia and warping effects; case(b) consider rotatory inertia, shear deformation and torsional inertia effects; case( c) consider rotatory inertia, shear deformation and warping effects. The last example is for the forced vibration of the beam subjected to a uniformly distributed load. The results of the last examples show the effects of case(a),(b) and (c) on the joint moment of the beam. We also let the forced frequency to be zero for finding the static special moment.
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