【摘要】 针对传统特征频率配置方法依赖全局模型、系统矩阵及完整激励信息的局限，提出了一种基于少量测量导纳与多位置均匀结构修改的共振与反共振频率的配置方法。对于共振频率配置，仅需测量修改位置的结构导纳，并在多个位置施加等值的结构修改，即可实现频率配置。对于多激励作用下反共振频率的配置，仅需测量修改位置与目标响应位置的导纳及其初始激励下的位移响应。该特征频率配置方法摆脱了对全局模型和系统矩阵的依赖，避免了对激励信息的需求，所需实测数据量少，计算复杂度低。此外，采用的多位置均匀结构修改策略，有效克服了结构修改中传统单点建模的局限性，提升了结构修改在工程应用中的可行性与实施的便捷性。最后通过弹簧-质量系统、三维圆柱壳及开孔阻尼矩形板的数值算例验证了该方法的有效性与鲁棒性，并深入分析了实测数据误差、阻尼特性对结构修改量及特征频率配置的影响。更多还原

【Abstract】 Here, aiming at limitations of traditional eigenfrequencies assignment methods relying on global model, system matrices, and complete excitation information, a resonance and anti-resonance frequencies assignment method was proposed based on a small number of measured receptances and multi-position uniform structure modification. For resonance frequencies assignment, measured structural receptances at the modified positions were only needed, and equivalent structural modification amounts were applied at multiple positions to realize frequencies assignment. For anti-resonance frequencies assignment under multi-excitation, only the receptances at modified positions and target response positions as well as these positions’ displacement responses under initial excitation were needed to be measured. This eigenfrequencies assignment method could get rid of dependence on global models and system matrices, avoid needs for excitation information, require less measured data, and have low computational complexity. In addition, the multi-position uniform structure modification strategy adopted could effectively overcome limitations of traditional single-point modeling in structural modification, and improve the feasibility and implementation convenience in engineering applications. Finally, the effectiveness and robustness of the proposed method were verified with numerical examples of a simple 1D spring-mass system, a 3D cylindrical shell and a perforated damping rectangular plate. Additionally, effects of measured data errors and damping characteristics on structural modification amounts and eigenfrequencies assignment were analyzed in depth.更多还原