粘弹性
对数
放松(心理学)
拉普拉斯变换
计算机科学
光谱(功能分析)
光谱密度
算法
应用数学
统计物理学
数学
数学分析
物理
热力学
社会心理学
电信
量子力学
心理学
作者
Jung–Eun Bae,Kwang Soo Cho
摘要
Various algorithms for determining relaxation time spectrum have been to the fore, because relaxation spectrum plays an important role in interconversion between various viscoelastic functions. In this study, a new algorithm is developed by means of double-logarithmic power series approximation and the Levenberg–Marquardt method. Compared with most previous algorithms, new algorithm is applicable not only to dynamic data but also to the Laplace transform of relaxation modulus, which is available for optical data from the generalized Stokes–Einstein equation or creep data with ringing. It is worth noticing that the new algorithm determines continuous relaxation spectrum without any additional parameters and precedent procedures. This paper suggests such framework of newly developed algorithm and its applications to various kinds of viscoelastic data.
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