A new displacement model for nonlinear vibration analysis of fluid-conveying anisotropic laminated tubular beams resting on a Pasternak-type foundation is presented. Based on Hamilton's principle, the motion equations and boundary conditions are obtained by using a new high-order shear deformation tubular beam model with a von Kármán-type of kinematic nonlinearity, in which warping, shear deformation and rotational moment of inertia of cross-section and contributions of the relationship of exact curvature are considered. A numerical solution using the differential quadrature method (DQM) with an iterative algorithm is employed to determine the nonlinear frequencies and amplitude-frequency responses of fluid-conveying anisotropic laminated tubes with different boundary conditions. A detailed parametric study is conducted to analyze influence of different type of boundary conditions, and geometrical and physical properties. Numerical results demonstrate that the geometrical and physical properties, elastic foundation, boundary conditions, initial geometry imperfection, critical flow velocity and frequency-response of the fluid-conveying tubes have significant effect on dynamic behavior of anisotropic laminated composite tubes.

提出了一种基于帕斯捷尔纳克（Pasternak）型地基的输水各向异性叠层管状梁非线性振动分析的位移模型。根据汉密尔顿原理，通过使用运动非线性的vonKármán型运动的新的高阶剪切变形管状梁模型，获得了运动方程和边界条件，其中翘曲，剪切变​​形和横截面转动惯量考虑精确曲率关系的贡献。采用微分求积法（DQM）和迭代算法的数值解法，确定了边界条件不同的各向异性流体层压管的非线性频率和幅频响应。进行了详细的参数研究，以分析不同类型的边界条件以及几何和物理属性的影响。数值结果表明，流体输送管的几何和物理性质，弹性基础，边界条件，初始几何缺陷，临界流速和频率响应对各向异性层合复合管的动力性能有显着影响。