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针对具有集中分布参数柔性节点的单节电瓷型高压电气设备,通过分布参数梁振动理论与集中参数边界条件的引入,推导出其频率方程,然后通过数值方法求得频率及振型。通过应用Betti定律,推导出具有集中分布参数柔性节点的单节电瓷型高压电气设备的振型正交条件,应用此正交条件对集中参数与分布参数的振动方程解耦,推导出该集中分布参数体系的广义质量及广义荷载,然后通过振型叠加法求解结构的地震响应。最后应用该半解析法与有限元法对一550kV金属氧化物避雷器地震响应进行分析,分析结果表明:该半解析法与有限元法计算结果相一致,说明该方法的正确性,从而为具有集中分布参数柔性节点的单节电瓷型高压电气设备的地震响应分析和抗震设计提供了一种新的途径。
According to the single-section porcelain-type high voltage electrical equipment with flexible nodes with concentrated distribution parameters, the frequency equation is derived through the vibration theory of distributed parameter beam and the introduction of the boundary conditions of lumped parameters. The frequency and mode shapes are obtained by numerical method. By applying the Betti’s law, the mode shape orthogonal conditions of a single-section porcelain-type high voltage electrical equipment with flexible nodes with concentrated distributed parameters are deduced. Using this orthogonal condition, the vibration equation of the centralized parameter and the distributed parameter is decoupled, and the concentrated distribution The generalized mass and generalized load of the parametric system, and then the seismic response of the structure is solved by the modal superposition method. Finally, the semi-analytical method and the finite element method are used to analyze the seismic response of a 550kV metal oxide surge arrester. The results show that the semi-analytical method is consistent with the finite element method, indicating that the method is correct, Seismic Response Analysis and Seismic Design of Single-Pole Electric Porcelain High-Voltage Electrical Equipment with Distributed Parameters and Flexible Nodes Provide a New Approach.