A new method to determine natural frequencies and damping of structures accurately is presented in this paper. Theoretical resonance curves with unknown coefficients are fitted to experimental resonance data by the method of least squares. As a result of fitting the unknown coefficients are determined, and the natural frequencies and damping which are the functions of the coefficients can be calculated. The present method can be applied not only to linear but also to nonlinear oscillations, and can even estimate the natural frequencies using only the response data in the range below the resonance frequencies. The applications of the method are also presented and discussed in the latter part of the paper.
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