基于谐波平衡法的储油罐幅频特性研究

Amplitude-frequency characteristic of vibration isolation storage tank based on harmonic balance method

为揭示隔震储油罐幅频特性和提高储油罐的抗震性能,建立了三质点体系隔震储油罐系统非线性动力学模型,将地震波简化为简谐波,推导出微分方程组,对微分方程组进行无量纲化处理,然后通过谐波平衡法将微分方程组转化为非线性方程组,最后利用数值分析软件MATLAB求解非线性方程组并绘制幅频响应曲线。研究结果表明,激励频率变化时,得到的系统各部分幅频响应幅值不同,最大值出现在Ux上,超过最大值后系统响应幅值整体呈下降趋势;ζx对幅频响应曲线影响最大,ζx越小得到的幅值越大,增加ζx有助于提高储油罐的抗震性能。

In order to reveal the isolation amplitude and improve the seismic performance of oil storage tank,it builds a three degree of freedom nonlinear dynamics system isolation tank system model.Using seismic waves with harmonic wave,it derives the differential equations subjected to dimensionless treatment,takes the method of harmonic balance differential equations for nonlinear equations,solves the nonlinear equations of drawing amplitude frequency response curve finally based on MATLAB numerical software.The results show that the excitation frequency changes with each part of the system frequency response amplitude,the maximum value appeares at U x,more than the maximum amplitude of the system in the overall downward trend,the greatest impact amplitude isζx on the amplitude frequency response curve,the smaller theζx gets bigger and helps to improve the seismic the performance of the storage tank.