A numerical method for estimating the nonlinear characteristics of a coupling connecting two cantilever beams is presented in this paper. Nonlinearity representation of the coupling was assumed. The parametric values were determined by optimum matching the numerical solution of system response with experimental measurement. Pseudo mode shape was introduced to transform the governing motion equations to ordinary differential equations, through which the structure dynamic response was solved using matrix-exponential method. A Simplex multivariable optimization scheme was used to implement the parametric estimations. The proposed method shows potential in solving similar parametric estimation problems.
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