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首页> 外文期刊>The Journal of the Textile Institute >Mathematical modeling of spacer fabrics under impulsive loading
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Mathematical modeling of spacer fabrics under impulsive loading

机译：脉冲载荷下间隔织物的数学建模

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In this research, a model has been provided to predict the damping behavior of spacer fabrics against impact forces. These fabrics were modeled as lumped mass and spring system. Because of damping force in mechanical systems, a dashpot has been added to the system for producing the damping force. Therefore, mathematical modeling of the vibration system led to a differential equation. By solving this equation, the displacement of the system was obtained. Consequently, by the application of the second law of Newton, the resulting force of impulse was calculated as a function of time. In addition, the damping behavior of multi-layer spacer fabrics was analyzed by extending the model used for a single layer. Finally, to evaluate the accurateness of the obtained model, a set of standard impact tests were designed and performed on spacer fabric samples. The results of statistical analyses showed that there is no significant difference between theoretical and experimental outputs. Altogether, the results of impact tests show that by decreasing the fineness and length of monofilaments and increasing their density, the force transmitted to the projectile is increased.
机译：在这项研究中，提供了一个模型来预测间隔织物抵抗冲击力的阻尼行为。这些织物被建模为集总质量和弹簧系统。由于机械系统中的阻尼力，已将阻尼器添加到系统中以产生阻尼力。因此，振动系统的数学建模导致了一个微分方程。通过求解该方程，获得了系统的位移。因此，通过牛顿第二定律的应用，得出的合力为时间的函数。另外，通过扩展用于单层的模型来分析多层间隔织物的阻尼行为。最后，为了评估所获得模型的准确性，设计了一组标准冲击测试，并对间隔织物样品进行了测试。统计分析结果表明，理论输出与实验输出之间没有显着差异。总体而言，冲击试验的结果表明，通过降低单丝的细度和长度并增加其密度，可以增加传递到弹丸上的力。

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