【摘要】 本文以管道轴向振动FSI4方程模型为基础,推出了以位移为基本变量的、同时考虑泊松耦合、摩擦耦合以及和管道阻尼的、具有对称“刚度”、“阻尼”和“质量”矩阵的二阶微分方程组。它可以用一个正交矩阵解耦,并且特别适合进行振动分析。文中还给出了一个利用此方程组求解充液管道FSI固有频率的算例,讨论了FSI固有频率和FSI波速的特点。该方程组有良好的应用前景。更多还原

【Abstract】 Based on the four-equation model describing the fluid-structure interaction for liquid-filled pipes in axial vibration, a symmetric model is derived. The Poisson coupling, friction and junction coupling are taken into accounted. The present model can be decoupled by an orthogonal matrix, in stead of the conventional one Furthermore, the present model, with displacements as variables, and with the symmetric mass, stiffness and damping matrices, is more suitable for the vibration analysis in FEM. Two numerical examples are given in the paper. One of them is used to reveal interesting frequency characteristics of the pipe system in FSI vibration, and the other to show that the results obtained from the present model are in good agreement with experimental measurements.更多还原