本研究建立了常曲率壳结构的能量辐射传递模型，以预测高频径向点激励下结构的能量响应。基于Donnell-Mushtari薄壳理论推导了常曲率壳的振动控制方程，获得了波传播特性参数。利用驻项法近似求得了弯曲波输入功率辐射强度的方向函数。根据能量密度控制方程求得了能量密度和功率流强度的核函数。结构内部任一点的能量由实源产生的能量和边界虚源产生的能量叠加求得。数值算例计算了三种典型常曲率壳结构的能量响应，并与模态叠加法和振动传导法的计算结果进行了对比，验证了模型的准确性。最后讨论了频率、曲率半径及阻尼对常曲率壳结构能量响应的影响。结果表明，曲率半径和激励频率均会影响壳结构波传播特性和能量分布特征， 和 方向曲率半径差距越小，弯曲波传播的方向性越小；曲率半径越小，结构平均能量密度越大；频率越高，弯曲波传播的方向性越小，结构能量密度衰减速度越快。

This study established an energy radiation transfer model for constant curvature shell structures to predict the energy response of structures under high-frequency radial point excitation. Based on Donnell-Mushtari thin shell theory, the vibration control equation of a constant curvature shell was derived and the wave propagation characteristic parameters were obtained. The directional function of the input power radiation intensity of bending waves was approximately obtained using the phase stationary method. The kernel functions of energy density and power flow intensity were obtained based on the energy density control equation. The energy at any point within the structure can be obtained by superposition the energy generated by the real source and the energy generated by the boundary virtual sources. The energy responses of three typical constant curvature shell structures were calculated, and the results were compared with the modal superposition method and vibrational conductivity approach to verify the accuracy of the proposed model. Finally, the influence of frequency, curvature radius, and damping on the energy response of constant curvature shell structures was discussed. Numerical results indicate that both curvature radius and excitation frequency can affect the wave propagation characteristics and energy distribution of shell structures. The smaller the difference is in curvature radius in the   and   directions, the smaller the directionality of bending wave propagation; The smaller the curvature radius is, the higher the average energy density of the structure; The higher the frequency is, the less directional the propagation of bending waves, and the faster the decay rate of structural energy density.