In viscoelastic media, mechanical energy is partially converted to thermal energy. Thus, the vibration of a structure implies that there are thermal heat sources due to mechanical dissipation induced by acoustical vibration. The heat sources are directly linked to the stress and strain tensors. In the present work, a rectangular plate made of viscoelastic material is studied from both mechanical and thermal points of view. Three different experiments are applied to the specimen: classical Chladni plate, laser Doppler velocimetry and infrared surface temperature measurements. The specimen is fully characterized in terms of mechanical and thermal properties in order to simulate the vibrothermal experiment using 3D finite-element modeling. The dynamic temperature field is thus obtained both experimentally and numerically. An inverse thermal processing is proposed in order to quantitatively retrieve thermal heat source distributions relative to the acoustical field. In this paper, numerical simulations are used to validate the inverse processing, and the first results applied to the experimental data are depicted. It is shown that the simulation and experiments are quantitatively in good agreement. For a given resonance frequency, Chladni experiments allow for the retrieval of displacement mode shapes, whereas infrared thermography allows for the retrieval of heat source mode shapes.

在粘弹性介质中，机械能部分转化为热能。因此，结构的振动意味着由于声振动引起的机械耗散而存在热源。热源与应力和应变张量直接相关。在目前的工作中，从机械和热学的角度研究了由粘弹性材料制成的矩形板。三种不同的实验应用于标本：经典Chladni平板，激光多普勒测速仪和红外表面温度测量。为了充分利用3D有限元建模来模拟振动热实验，对样品的机械和热性能进行了充分表征。因此，可以通过实验和数值获得动态温度场。为了量化地获取相对于声场的热源分布，提出了反向热处理。在本文中，使用数值模拟来验证逆处理，并描述了应用于实验数据的第一个结果。结果表明，仿真与实验在定量上吻合良好。对于给定的共振频率，Chladni实验允许恢复位移模式形状，而红外热成像则允许恢复热源模式形状。结果表明，仿真与实验在定量上吻合良好。对于给定的共振频率，Chladni实验允许恢复位移模式形状，而红外热成像则允许恢复热源模式形状。结果表明，仿真与实验在定量上吻合良好。对于给定的共振频率，Chladni实验允许恢复位移模式形状，而红外热像仪则允许恢复热源模式形状。