Abstract An inverse modification method for the assignment of antiresonant frequencies at which no vibration will be experienced at the chosen multiple coordinates of a structure subjected to a single force is presented. And the method can also be used to assign the zero displacements at a specific frequency when the structure is subjected to multiple forces. The method determines the passive stiffness or mass modifications of the structure only by an analysis of the null space of a matrix containing the magnitudes of forces and the receptances at the coordinates of the excitations, the zero-displacement responses and the modifications. Numerical examples are presented to illustrate and validate the method.

中文翻译：

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一种分配反谐振频率的逆修正方法

摘要 提出了一种反共振频率分配的逆向修正方法，在该频率下，在受单力作用的结构的选定多个坐标上不会经历振动。并且该方法还可用于在结构受到多个力时指定特定频率下的零位移。该方法仅通过分析矩阵的零空间来确定结构的被动刚度或质量修改，该矩阵包含力的大小和在激励坐标处的接收、零位移响应和修改。给出了数值例子来说明和验证该方法。