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以Pflüger柱模型和普通输流管道模型为基础,建立了在流动流体和分布随从力共同作用下管道的运动微分方程,并采用Galerkin法进行离散。通过传递矩阵法结合边界条件求出模态函数的频率特征值,研究了分布随从力作用下含裂纹输流管道的稳定性。分析了裂纹深度与位置对分布随从力作用下简支输流管道临界流速和失稳形式的影响,数值计算结果表明:简支输流管道裂纹深度越大,裂纹位置与端部距离越远,分布随从力对其稳定性的影响越明显,且其失稳形式也会发生相应变化。
Based on the Pflüger column model and the common pipeline model, the differential equations of motion of the pipeline under the combined effect of flowing fluid and distributed follower force are established, and the Galerkin method is used to carry out the discretization. The frequency eigenvalues of the modal functions were obtained by using the transfer matrix method and the boundary conditions. The stability of the cracked pipe was investigated with the distributed follower force. The effects of crack depth and location on the critical velocities and failure modes of simply supported fluid-conveying pipe under distributed follower force are analyzed. The numerical results show that the larger the crack depth and the farther the crack is, Distribution of follow-up force on the stability of the more obvious, and its instability form will also change accordingly.