粘弹性材料的连续放松时间和频谱的直接识别
1Department of Technology Fundamentals, Faculty of Production Engineering, University of Life Sciences in Lublin, 20-612 Lublin, Poland.
Materials (Basel, Switzerland)
|October 16, 2024
概括
本研究引入了一种直接方法,可以从实验数据中识别放松光谱,克服间接评估的局限性. 新的算法准确地模拟了粘弹性材料的放松行为,即使有噪音测量.
科学领域:
- 材料科学 材料科学 材料科学
- 聚合物物理 聚合物物理
- 类风病学 类风病学 类风病学
背景情况:
- 放松时间和频谱是材料的关键性质,但不能直接测量.
- 现有的方法依赖于通过数据拟合对光谱模型的间接评估,这些评估可能不准确.
- 从放松数据中确定光谱的反向问题本质上是错误的.
研究的目的:
- 开发一种用于识别放松频谱模型的直接方法.
- 根据可测量的放松模量数据来定义频谱模型的质量指标.
- 创建一个强大的光谱识别算法,适用于各种粘性弹性材料.
主要方法:
- 用一系列指数基础函数定义并扩展了修改后的放松频谱.
- 导出了一个积分平方误差,将模型质量与特定采样时刻可测量的放松模量联系起来.
- 提霍诺夫规范化和单数值分解用于模型流性和参数计算.
主要成果:
- 引入了一个经验识别指数,利用杂的实验数据.
- 开发了一个直接识别算法,并通过数值研究来验证.
- 证明了频率和时间光谱的直接识别之间的等价性.
结论:
- 拟议的方法允许直接识别放松光谱,比间接方法提高准确性.
- 该算法证明了对噪音数据的稳定性和适用于各种光谱模型 (例如,高斯,KWW) 的适用性.
- 这种方法为特征粘弹性流体和固体提供了有价值的工具.
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