Experimental Identification Technique of Vibrating Structures With Geometrical Nonlinearity

Abstract

A new experimental identification technique of a two-dimensional vibrating elastic structure with geometrical nonlinearity is considered. First it is shown that the governing equations given in the form of nonlinear partial differential equations can always be transformed to those given in the form of nonlinear ordinary differential equations called the modal equations, and hence identification is reduced to determination of the modal equations. Then a technique for determining the parameters of the modal equations through use of experimental data is proposed. Numerical simulation is conducted for typical cases, and applicability of the technique is confirmed.