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

机译:建模假设对粘弹性夹层梁预测损失因子的影响

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Abstract: 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. !40
机译:摘要:通过在结构中添加粘弹性材料来增强薄梁和面板的能量耗散的概念至少可以追溯到1950年代初。 1959年,Kerwin首次提出了对受另一金属层约束的粘弹性材料的一般分析。他在数学中做出了几个关键的简化假设,如DiTaranto(1965)以及Mead和Markus(1969)在后续研究中所做的那样:(1)约束层在横向方向上的弯曲与基础层完全相同,(2)粘弹性层承受纯剪切力,(3)粘弹性层在变形过程中不会改变其厚度。虽然适合当时的阻尼问题,但自几十年来,被动阻尼(现在是主动阻尼)的作用不断扩大,以至于这些数学模型不再能很好地代表许多实际的工程兴趣问题。本文通过使用良性夹层梁进行的一些贸易研究,探索了简化建模的一些陷阱。 Mead和Markus假设是使用有限元实现的,并将其与完全由高阶元素组成的波束进行比较。还使用Euler-Bernoulli梁(独立作用)作为面板和粘弹性材料的线性元素对夹层梁进行建模,类似于使用商业代码中的标准元素对夹层进行建模的方式。阻尼预测的准确性是根据应变能分布的准确性推断出来的。 !40

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