Constrained layer damping (CLD) is a typical application known to exhibit high damping. However, the damping ratio generally attains its maximum value when the applied surface is fully covered with the damping material. In this study, a method is proposed of topology optimization in the thickness direction using viscoelastic and constrained materials based on CLD in order to obtain a higher damping ratio. A mathematical formulation is proposed of the material interpolation functions of the store elastic modulus, loss elastic modulus, Poisson's ratio and density. As a result of the optimization using a cantilever beam, the damping ratio obtained in the optimal layout is 1.44 times higher than that in conventional CLD. The higher damping in the optimal layout can be attributed to compression of the viscoelastic material by the slits, and a decrease in the flexural rigidity caused by the taper and the longitudinally extending part of the slits.

约束层阻尼 (CLD) 是一种典型的应用，已知具有高阻尼。然而，当应用表面完全被阻尼材料覆盖时，阻尼比通常达到其最大值。在这项研究中，提出了一种基于 CLD 的粘弹性和约束材料在厚度方向上的拓扑优化方法，以获得更高的阻尼比。提出了存储弹性模量、损耗弹性模量、泊松比和密度的材料插值函数的数学公式。由于使用悬臂梁进行优化，在优化布局中获得的阻尼比是传统 CLD 的 1.44 倍。最佳布局中的较高阻尼可归因于狭缝对粘弹性材料的压缩，