Damage detection of a composite laminated structure using inner product vector under white noise excitation

Using cross correlation function of vibration responses under white noise excitation, a novel concept of inner product vector (IPV) was introduced. Based on conception of IPV, a new damage detection method was proposed, and the measuring noise resistant ability of the proposed method was also analyzed theoretically. It was proven that the IPV could be easily formed using the inner product of the time domain vibration responses; the value of IPV was dependent on modal shapes of a structure and the influence of measuring noise on the damage detection results could be adaptively eliminated in the calculation of IPV. Numerical simulation examples of delamination damage detection for a composite laminated beam demonstrated the effectiveness and the anti-noise ability of the proposed method.