不同杨氏模量对复合材料储能飞轮应力及位移影响之比较

摘要

对不同杨氏模量对复合材料飞轮的应力、位移分布的影响进行了研究.结合复合材料飞轮转子的结构特点,根据非均质各向异性弹性理论建立计算模型,得到飞轮在工作转速情况下应力和位移计算的解析公式,给出了任一点的径向、环向应力及径向位移.按照所建立的计算模型,讨论了具有不同杨氏模量的复合材料对径向、环向应力和径向位移的影响,仿真分析了复合材料飞轮转子在不同边界条件、几何参数情况下的应力和位移.结果表明:随着角速度从0增大到5 000 rad/s,径向应力、环向应力和径向位移都增大;两种材料径向应力的最大值都出现在飞轮的外缘,最大环向应力都出现在飞轮的内侧;高杨氏模量(Er=100 GPa,Eθ=350 GPa)时的径向和环向应力都要大于低杨氏模量时(Er=20 GPa,Eθ=150 GPa)的情况,而位移则是在低杨氏模量的情况下较大.%The influences of different Young's moduli on the distribution of the stress and displacement of a composite flywheel was investigated in this paper. According to the heterogeneous anisotropy elastic theory and design features of the flywheel, the computation formulas for the stress and displacement of the composite flywheel were established at working speeds, and the radial stress, circumferential stress and radial displacement at an arbitrary point were presented. Then, based on the computation models above, the influences of different positions and rotational speeds on the radial stress, circumferential stress and radial displacement were discussed. It is concluded that the radial stress, circumferential stress and radial displacement all increase with increasing of angular velocity from 0 to 5 000 rad/s. The maximal radial stresses of two kinds of materials all occur at the exterior margin of flywheel and the maximal circumferential stresses occur at the inner margin of flywheel. Moreover,under the situation of high Young's moduli(Er=100 GPa,Eθ=350 GPa), radial and circumferential stresses are all higher than that of low Young's moduli (Er=20 GPa,Eθ=150 GPa),whereas,the displacement shows an oppisite change.