保暖纤维保暖能力的多维度评价与微观结构关联研究

Study on the Correlation between Multi-Dimensional Evaluation of Thermal Insulation Performance and Microstructure of Thermal Insulation Fibers

摘要: 研究为衡量保暖纤维保暖能力，先构建含物理、环境适应性、人体舒适度指标的多维度体系，经收集无缺失和重复的样本数据，用箱型图呈现分布。接着用TOPSIS结合熵权法建综合评价模型，经数据标准化、算指标熵值与权重(填充性能指标评分权重最高，物理性能指标热导率最低)、确定理想解等步骤，得综合得分指数并排序。还基于热传导理论，结合涤纶特性建数学模型，分析得出纤维保暖能力与直径平方成正比、与长度成反比，通过数值模拟验证，同时指出填充密度等实际因素的影响。

Abstract: To quantify the thermal insulation capacity of thermal insulation fibers, this study first constructed a multi-dimensional evaluation framework encompassing physical property indicators, environmental adaptability indicators, and human comfort indicators. After collecting sample data with no missing values or duplicates, box plots were employed to visualize the data distribution characteristics. Subsequently, a comprehensive evaluation model was established by integrating the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with the entropy weight method. Through a series of standardized procedures—including data normalization, calculation of indicator entropy values and weights (the filling performance indicator obtained the highest weight, while the thermal conductivity among physical performance indicators had the lowest weight), and determination of positive/negative ideal solutions—the comprehensive evaluation index of each fiber sample was derived, followed by performance ranking. Furthermore, based on the heat conduction theory and in combination with the intrinsic properties of polyester fibers, a mathematical model describing the relationship between fiber microstructure and thermal insulation capacity was constructed. The analytical results revealed that the thermal insulation capacity of fibers is positively proportional to the square of fiber diameter and inversely proportional to fiber length, which was validated via numerical simulation. Additionally, the study emphasized the regulatory effects of practical application factors, particularly filling density, on thermal insulation performance.