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本文基于n层各向异性壳的基本方程,计入粘弹性夹层的热流变影响,对含粘弹性阻尼层的三层正交异性壳的热动力理论加以修正,导出了求解循环载荷下含粘弹性夹层的三层壳热动力性状的非线性完备方程组,并由此退化出含粘弹性夹层的正交异性三层板的热动力方程组。作为一个特例,退化出正交异性三层粘弹性夹芯梁的振动方程,求出了粘弹性层的阻尼系数与振幅值间的关系。
In this paper, based on the basic equations of n-layer anisotropic shells, the thermal rheological effects of viscoelastic sandwiches are included, and the thermodynamic theory of three-layer orthotropic shells with viscoelastic damping layers is modified. The nonlinear complete equations of the thermodynamic properties of the three-layered shell with elastic sandwiches degenerate from the thermodynamic equations of an orthotropic three-layer plate with viscoelastic interlayers. As a special case, the vibration equation of an orthotropic three-layer viscoelastic sandwich beam is degenerated, and the relationship between the damping coefficient and the amplitude of the viscoelastic layer is obtained.