考虑质量偏心的阶梯梁-基础的强迫振动计算

发布时间：2018-01-06 19:07

本文关键词：考虑质量偏心的阶梯梁-基础的强迫振动计算　出处：《振动与冲击》2017年22期 　论文类型：期刊论文

【摘要】：轴系的质量非均匀会导致纵横振动的耦合,结合导纳综合法与改进的传递矩阵法,针对质量偏心阶梯梁-弹性基础模型,提出了一种理论/实验混合计算方法。通过与有限元计算结果对比,验证了方法的正确性;考察了质量偏心对系统响应的影响。结果表明:在垂向激励下,质量偏心对系统的垂向位移响应无影响,但是会使系统产生纵向位移响应;由于纵向位移以eθ的形式被引入弯-纵耦合振动方程,因此其频率特征与垂向响应一致,且其幅值与偏心程度成正比。
[Abstract]:The non-uniform mass of shafting will lead to the coupling of longitudinal and transverse vibration. Combined with the admittance synthesis method and the improved transfer matrix method, this paper aims at the mass eccentricity stepped beam-elastic foundation model. A theoretical / experimental hybrid calculation method is proposed, and the correctness of the method is verified by comparing with the results of finite element method. The effect of mass eccentricity on the response of the system is investigated. The results show that the mass eccentricity has no effect on the vertical displacement response of the system under vertical excitation, but it will make the system produce longitudinal displacement response. Because the longitudinal displacement is introduced into the bending-longitudinal coupling vibration equation in the form of e 胃, the frequency characteristic is consistent with the vertical response, and the amplitude is proportional to the eccentricity.
【作者单位】：上海交通大学振动冲击噪声研究所;上海交通大学机械系统与振动国家重点实验室;
【基金】：国家自然科学基金(51505281)
【分类号】：TH113.1
【正文快照】： 作为轴系的物理简化模型,阶梯梁的动力学问题引起了大量学者的关注[1-4]。实际中,由于加工或安装的原因,轴系一般会存在质量偏心(质心与截面形心不重合),从而导致垂向振动与纵向振动的耦合[5]。壳体n=0(n为壳体的周向波数)的模态拥有较高的声辐射效率[6],轴系的纵向振动导致的

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