摘要
本論文主要在探討一個受力樑模型之分支點及其週期解路徑的分歧問題.
首先,我們利用打靶法及牛頓迭代法,來計算出分歧點或及轉彎點,再以隱函數定理為基礎,利用Liapunov-schmidt降階法,虛擬弧長延拓法,割線猜測法及牛頓迭代法等數值方法,來延拓從分支點出發的所有週期解分支.
最後,藉由參數的改變,分別求得分歧現象,並觀察分支點與週期解分支的變化.

Abstract
This thesis is to numerically investigate bifurcation problems on branch points and periodic solution paths of a forced beam model.
First,we use shooting method and newton’s interative method to calculate the bifurcation points and tuning points. we base on implicit function theorem to get the path of all that passing through the branch points with the shooting method, Newton’s iterative method, pseudo-arclength continuation method and secant predictor and so on.
Finally, we observe the bifurcation phenomenons of periodic solution paths at bifurcation points with several parameters.

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