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为了改进结构系统的固有特性,使之与给定要求一致,本文提出了用最优化技术同时调整结构系统的多个固有频率,使它们同时收敛于目标值。为了提高效率,文中还建立了结构固有频率对物理参数的灵敏度概念,用来选取优化变量。此外,本文还推导了结构固有频率及模态的一级微分近似公式,并与一阶力阵摄动法作了比较。最后将本文所提出的方法用于两种不同类型结构的调频问题,取得了满意结果。
In order to improve the intrinsic characteristics of the structural system and make it consistent with the given requirements, this paper proposes to adjust the multiple natural frequencies of the structural system simultaneously using the optimization technique so that they simultaneously converge to the target value. In order to improve the efficiency, the concept of the sensitivity of the natural frequency of the structure to the physical parameters is also established to select the optimal variables. In addition, a first-order differential approximation formula for the natural frequencies and modes of the structure is also derived and compared with the first order force matrix perturbation method. Finally, the proposed method is applied to the frequency modulation of two different types of structures, and satisfactory results are obtained.