在工程上常需要面臨一些處理複雜計算的問題,目前也有許多可供利用進行數值分析的計算方法,但多數方法需要複雜的理論基礎,其計算程序也十分複雜,稍有不慎,亦可能在計算的過程中,產生難以發現的錯誤,導致計算成果衍生了不可知的誤差。因此,一個易於使用且計算成果精確的數值分析方法,對工程師處理複雜計算的數學問題,將有莫大的助益。 本文所使用的SCM具有快速、簡易及收斂快速的特性,文中利用SCM的優點,用於計算地盤周期的問題,並對多層地盤周期的計算,提出一個簡易而準確的計算方式,相較於原來的簡化公式,大幅的提升了準確性,可運用程式語言之MATLAB來執行運算的工作,使得許多工程上難以處理的計算問題,變成快速而易於處理,值得推廣運用以處理工程上繁複的計算問題。
There are often problems requiring complex calculations when it comes to engineering projects. Currently there are many calculation methods available to analyze numerical data, but most methods are based on complex theories, in which the slightest mistake in the calculation process would lead to inaccurate results. Thus, an easy-to-use and accurate method to analyze and calculate numerical data would be of great help to the complex mathematical problems engineers often face. Taking advantage of its quick and easy characteristics, this study utilized SCM to calculate the site period and multi-site period. SCM gives us a simple and accurate method for calculations; combined with the use of the programming language MATLAB to perform the calculations, SCM greatly increases the accuracy of numerical data results and provides users with a convenient and efficient way of tackling difficult engineering computational problems.