The dynamics of elastic cantilevered smart pipes conveying fluid with non-uniform flow velocity profiles is presented for optimal power generation. The Navier-Stokes equations are used to model the incompressible flow in the circular smart pipe, and flow profile modification factors are formulated based on the Reynolds number and Darcy friction factor. The coupled constitutive dynamic equations, including the electrical circuit, are formulated for laminar and turbulent flows. Due to viscosity in a real fluid, non-uniform flow profiles induce dynamic stability and instability phenomena that affect the generated power. The system consists of an elastic pipe with segmented smart material located on the circumference and longitudinal regions, the circuit, and the electromechanical components. The modified coupled constitutive equations are solved using the weak form extended Ritz method. For faster convergence, this model is reduced from the exact solution of the pipe structure with proof mass offset. Initial validation with a uniform flow profile from previous work is conducted. With increasing flow velocity, the optimal power output and their frequency shifts are investigated both with and without the flow profile modification factors, to identify the level of instability. Further parametric studies with and without flow pulsation and base excitation are given.

展示了输送具有非均匀流速分布的流体的弹性悬臂智能管道的动力学，以优化发电。Navier-Stokes 方程用于模拟圆形智能管道中的不可压缩流动，并根据雷诺数和达西摩擦系数制定流动剖面修正系数。耦合本构动力学方程，包括电路，是为层流和湍流制定的。由于实际流体中的粘度，不均匀的流动剖面会导致影响发电功率的动态稳定性和不稳定现象。该系统由位于圆周和纵向区域的分段智能材料的弹性管、电路和机电组件组成。使用弱形式扩展 Ritz 方法求解修正的耦合本构方程。为了更快的收敛，这个模型从管道结构的精确解中减少了质量偏移。使用先前工作中的统一流动剖面进行初始验证。随着流速的增加，在使用和不使用流量剖面修正因子的情况下研究最佳功率输出及其频移，以确定不稳定性水平。给出了有和没有流动脉动和基础激励的进一步参数研究。在使用和不使用流量剖面修正因子的情况下研究最佳功率输出及其频移，以确定不稳定性水平。给出了有和没有流动脉动和基础激励的进一步参数研究。在使用和不使用流量剖面修正因子的情况下研究最佳功率输出及其频移，以确定不稳定性水平。给出了有和没有流动脉动和基础激励的进一步参数研究。