The expression of localization factor is given by Wolf algorithm, numerical examples are presented and the effects of various parameters of piezoelectric material on localization factor are analyzed.

The expression of localization factor is given by Wolf algorithm,numerical examples are presented and the effects of various parameters of piezoelectric material on localization factor are analyzed.

The transfer matrix method is employed to obtain the transfer matrix of the system, and the method for calculating the Lyapunov exponents in continuous dynamic systems presented by Wolf is used to determine the localization factor.

Vibration mode localization and frequency loci veering in disordered coupled beam system,such as two beams coupled with transverse and rotational springs,are studied using finite element analysis.

The influences of the asymmetric parameter on the natural frequency and phenomena of mode localization are investigated.

The importance of sensitivity analysis for structural optimal design with frequency constraints is demonstrated, and it is shown that the normal mode localization and the sensitivity of nonclassical systems are important topics which should be explored by structure designers.

By optimizing structure design,avoiding rearfloor\'s local modes which may resonate with other modes of the vehicle,the structure performance is improved and the suggestions of design are proposed.