5. 將功能性梯度材料類比於連續分佈的層狀均質材料，兩者的數值結果極為近 似。層狀均質材料的計算結果，因阻抗不匹配的緣故，會出現震盪的現象，
可以藉由模擬層數之增加來改善這些震盪現象。
6. 本文成功地分析三種類型層狀介質的暫態響應：隨機、週期與連續分佈型，
並以複合材料力學中的等效材料的簡化方式討論暫態問題的適用性。隨機與 週期分佈型，不若連續分佈型的層狀介質適合以等效材料來計算暫態響應。
6-2 未來展望
本文雖提出矩陣形式解配合數值拉普拉斯逆轉換，使得任意數目的層狀介質 長時間動態響應的數值計算變的可行，但目前僅限於一維的彈性波傳問題，對於 二維與三維的問題未來必須採用二次甚至於三次數值逆轉換來分析。另外，對於 層狀功能性梯度材料，僅針對m= +n 2時的尤拉方程進行解析，m≠ +n 2的情況 仍需進一步分析與研究。
本文所提出的混合解析與數值的分析方式，亦可應用於不同函數形式的功能 性梯度材料，將來亦可採用有限元素法計算多層域的暫態響應來進行模擬。由於 數值拉普拉斯逆轉換可以精確計算與時間相關的暫態問題，除本文的應力波傳之 外，亦可分析熱傳、聲光波動等相關的研究。
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