Zacharias Christin, Könke Carsten, Guist Christian
Institute of Structural Mechanics, Bauhaus-University Weimar, 99423 Weimar, Germany.
Materials (Basel). 2022 Feb 24;15(5):1706. doi: 10.3390/ma15051706.
The realistic prediction of material damping is crucial in the design and dynamic simulation of many components in mechanical engineering. Material damping in metals occurs mainly due to the thermoelastic effect. This paper presents a new approach for implementing thermoelastic damping into finite element simulations, which provides an alternative to computationally intensive, fully coupled thermoelastic simulations. A significantly better agreement between simulation results and experimental data was achieved, when compared with the empirical damping values found in the literature. The method is based on the calculation of the generated heat within a vibration cycle. The temperature distribution is determined by the mechanical eigenmodes and the energy converted into heat, and thus dissipated, is calculated. This algorithm leads to modal damping coefficients that can then be used in subsequent analyses of dynamically excited oscillations. The results were validated with experimental data obtained from vibration tests. In order to measure material damping only, a test setup excluding friction and environmental influences was developed. Furthermore, comparisons with fully coupled thermoelastic simulations were performed. It was clear that the new approach achieved results comparable to those of a computationally expensive, coupled simulation with regard to the loss factors and frequency response analyses.
在机械工程中,对许多部件进行设计和动态模拟时,对材料阻尼进行现实的预测至关重要。金属中的材料阻尼主要是由热弹性效应引起的。本文提出了一种将热弹性阻尼应用于有限元模拟的新方法,该方法为计算量大的全耦合热弹性模拟提供了一种替代方案。与文献中发现的经验阻尼值相比,模拟结果与实验数据之间取得了明显更好的一致性。该方法基于振动周期内产生热量的计算。温度分布由机械本征模态确定,并计算转化为热量从而耗散的能量。该算法得出模态阻尼系数,然后可用于后续动态激励振荡的分析。结果通过振动测试获得的实验数据进行了验证。为了仅测量材料阻尼,开发了一种排除摩擦和环境影响的测试装置。此外,还与全耦合热弹性模拟进行了比较。很明显,就损耗因子和频率响应分析而言,新方法取得的结果与计算成本高昂的耦合模拟相当。