带有支承间隙的压力管道振动非线性动力学行为研究

Nonlinear vibration of pressure pipe with support clearance at one end

以现代非线性动力学和Sanders薄壳理论为基础,建立了一端带有支承间隙的压力管道的非线性动力学模型,利用Ritz法对模型进行分析。针对非线性系统的具体特点,通过数值计算,得到管壁振动的幅频特性曲线,并研究了支承刚度和支承间隙对管道动力学特性的影响。结果表明:一端带有支承间隙的压力管道的管壁振动幅频曲线呈现出明显的非线性特征。支承间隙和支承刚度对管壁振动响应的各次谐波,尤其是低阶谐波的共振幅值和共振频率有着显著的影响。了解带有支承间隙的压力管道振动非线性动力学行为对管道的设计、安装和日常维护检查工作有着重要的意义。

Based on modern nonlinear dynamics and Sanders theory, nonlinear dynamic model of pressure pipe with support clearance was established and the Ritz method is used to analyze the model. And numerical method was applied to get amplitude frequency characteristic curve of the vibration of pipe wall. And the effect of supporting stiffness and support clearance on dynamic behaviors of pipe vibration were studied. Results show that the frequency-amplitude curves show the obvious nonlinear phenomenon, supporting stiffness and support clearance have a great impact on the resonant frequency and resonant amplitude of harmonic response, especially lower harmonic, of pipe vibration. To study on dynamic behavior of pressure pipe with supporting clearance is signification for daily work of designing, installing and maintenance.