An Orthotropic Viscoelastic Winding Model Including a Nonlinear Radial Stiffness
An Orthotropic Viscoelastic Winding Model Including a Nonlinear Radial Stiffness
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包含非线性径向刚度的正交各向异性粘弹性绕组模型
DOI：
10.1115/1.2787274
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
J. K. Good
中科院分区：
文献类型：
--
作者：
W. R. Qualls;J. K. Good
提出了一种用于预测瞬态卷绕应力分布的现实自适应粘弹性模型。网状材料被认为是正交各向异性的，具有取决于层间压力的非线性径向刚度。粘弹性行为由写为卷积积分的广义麦克斯韦蠕变模型表示。由此产生的积分边值问题的数值解给出了卷绕辊内的初始应力分布和瞬态应力分布。该模型成功地与简单各向同性情况的解析解以及有关该主题的已发表作品进行了比较。通过对比解决方案，该配方的优点和适应性将显而易见。
A realistic and adaptive viscoelastic model for prediction of transient wound roll stress distributions is presented. The web material is taken to be orthotropic with a nonlinear radial stiffness dependent upon interlayer pressure. Viscoelastic behavior is represented by a generalized Maxwell model for creep written as a convolution integral. Numerical solutions to the resulting integral boundary value problem give both initial and transient stress distributions within the wound roll. The model is successfully compared to the analytical solution for a simple case of isotropy as well as to published works on this topic. In contrasting the solutions, the advantages and adaptability of this formulation will be readily seen.