室内变压器常安置于混凝土地板,运行时会引起地板振动并向外传播。以地板与四周边界固结并考虑地基的弹性,建立混凝土地板的振动分析模型,基于Hamilton方程及振型叠加法对地板的振动位移方程进行详细推导与求解。在此基础上,利用功率流方法对地板振动传播特性进行研究分析,得到变压器典型激振频率下地板的振动功率流传递特性与衰减情况;最后利用有限元法对地板进行谐响应分析,得到混凝土地板的振动功率流场分布图,并对不同激振频率下的振动功率流场进行比较与分析。%The indoor transformer is usually settled on the concrete floor. Operation of the transformer can induce the floor vibration which will spread outward. In this paper, the concrete floor is considered as a plate on an elastic foundation with its edges fixed. Then, the vibration analysis model of the floor is established. The vibration displacement function of the floor is derived and solved in detail based on the Hamilton equation and modal superposition method. On this basis, the propagation characteristics of the floor are studied using the vibration power flow method. The transmission and attenuation characteristics of the vibration power flow of the floor are obtained under the typical exciting frequency of the transformer. Finally, the harmonic response of the concrete floor is analyzed by means of the finite element method. The distribution diagram of the vibration power flow field of the concrete floor is plotted. The vibration power flow fields for the different exciting frequencies of the transformer are compared and analyzed.
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