粘弹性转子摆动阻尼的模拟
Simulations of wobble damping in viscoelastic rotators
摘要：
利用阻尼弹簧模型，模拟了非主轴旋转的均匀粘弹性旋转椭球的摆动。能量阻尼率测量扁圆和扁长的机构具有不同的自旋速率，自旋状态，粘弹性弛豫时间尺度，轴比，和强度。Breiter等人（2012年）使用品质因数的分析模型和Frouard & Efroimsky（2018年）的Maxwell流变学模型在我们修改数值模拟Kelvin-Voigt流变学的预测后，与我们的能量耗散率的数值测量结果相匹配。对具有硬核和软核的近球形但摆动的物体的模拟表明，能量耗散率对核中的材料性质比表面附近更敏感。对粘弹性模型的敏感性意味着，推断出的小行星翻滚寿命的统计数据可以根据其材料特性的差异来解释。
英文摘要：
Using a damped mass-spring model, we simulate wobble of spinning homogeneous viscoelastic ellipsoids undergoing non-principal axis rotation. Energy damping rates are measured for oblate and prolate bodies with different spin rates, spin states, viscoelastic relaxation timescales, axis ratios, and strengths. Analytical models using a quality factor by Breiter et al. (2012) and for the Maxwell rheology by Frouard & Efroimsky (2018) match our numerical measurements of the energy dissipation rate after we modify their predictions for the numerically simulated Kelvin-Voigt rheology. Simulations of nearly spherical but wobbling bodies with hard and soft cores show that the energy dissipation rate is more sensitive to the material properties in the core than near the surface. The sensitivity to viscoelastic model implies that inferred statistics of tumbling lifetimes in asteroids might be interpreted in terms of differences in their material properties.
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