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Effects of modeling assumptions on loss factors predicted for viscoelastic sandwich beams

机译:粘弹性三明治梁预测损耗因子建模假设的影响

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The concept of enhancing energy dissipation in thin beams and panels by adding viscoelastic materials to a structure dates back at least to the early 1950s. Kerwin in 1959 was the first to present a general analysis of viscoelastic material constrained by another metal layer. He made several key simplifying assumptions in the mathematics, as did DiTaranto (1965) and Mead and Markus (1969) in follow-up studies: (1) the constraining layer bends in the transverse direction exactly as the base layer, (2) the viscoelastic layer undergoes pure shear, and (3) the viscoelastic layer does not change its thickness during deformation. While appropriate for damping problems of that time, the role of passive, and now active, damping has expanded in the decades since to the point that many problems of practical engineering interest are no longer represented well by these mathematical models. This paper explores a few pitfalls of simplified modeling through some trade studies using benign-looking sandwich beams. The Mead and Markus assumptions are implemented using finite elements and are compared to a beam comprised entirely of higher order elements. A sandwich beam is also modeled using Euler-Bernoulli beams (acting independently) as facesheets and a linear element for the viscoelastic material, similar to how a sandwich might be modeled using standard elements in a commercial code. The accuracy of damping predictions is inferred from the accuracy of strain energy distributions.
机译:通过加入的粘弹性材料到至少一个结构可以追溯到20世纪50年代初提高薄梁和板的能量耗散的概念。 Kerwin的在1959年是第一个呈现由另一金属层限制粘弹性材料的总的分析。他提出几个关键简化在数学假设,如在后续的研究并DiTaranto(1965)和米德和Markus(1969):(1)在横向方向上完全一样的基本层中的约束层弯曲时,(2)的粘弹性层进行纯剪切,和(3)变形时,粘弹性层不改变其厚度。同时采取适当的阻尼的那段时间问题,被动的角色,如今活跃,阻尼已经在几十年以来到如此地步,实际工程感兴趣的许多问题,不再由这些数学模型来表示充分伸展。本文通过使用良性的前瞻性夹层梁一些贸易研究探讨简化模型的一些缺陷。米德和Markus假设正在使用有限元实现,并且相比于完全由高阶单元的光束。夹心光束是使用欧拉 - 伯努利梁(独立作用)作为facesheets和用于粘弹性材料,类似于如何夹心可能使用在商业代码标准元素来建模的线性元件也建模。阻尼预测的准确度是由应变能量分布的精度推断。

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