在理论和数值上研究柱面波对多层球的声辐射力.基于声波的散射理论,得到声辐射力的解析解,并给出数值仿真.结果表明:在特定的ka和kr0处,柱面行波的辐射力可以是负值(k是波数,a是多层球的半径,r0是多层球到声源的距离).随着kr0增加到无穷大,仿真结果退化为平面波的情形.对双层球而言,每层的相对厚度影响曲线共振峰的大小和位置,但对三层球而言没有显著影响.当最内层的介质换成空气时,由于声阻抗差异较大,共振峰更加明显.该研究可以为研发新一代单行波声束声学镊子提供理论指导,该技术在生物医学超声和材料科学领域有广泛的应用.“,”Acoustic radiation force of an incident cylindrical diverging wave exerted on a multilayered sphere is theoretically and numerically studied. Based on sound scattering theory, a closed-form of the acoustic radiation force is obtained and several numerical simulations are provided. It shows unexpectedly that the radiation force becomes negative at selected values of ka and kr0 in a cylindrical diverging progressive wave (where k is the wave number, a is the sphere's radius and r0 is the distance of the sphere from the acoustic source). As kr0 increases to infinity, it degenerates to the case of a plane wave field. Relative thickness of layer affects both magnitude and position of the resonant peaks for a two-layered sphere while it does not significantly affect those for a three-layered sphere. As the innermost layer is substituted by the air, the resonant peaks become more pronounced due to the large difference of acoustic impedance. This study is expected to provide a theoretical basis to develop a new generation of acoustic tweezers using a single beam of progressive waves, which has potential applications in biomedical ultrasound and material sciences.