Veering of frequency loci and nonlinear coupling vibration analysis between traveling waves of rotational hard-coated cylindrical shells

Abstract

The studies on the veering of frequency loci and coupling forced vibration between traveling waves of rotational hard-coated cylindrical shells have been rarely found in previous papers, especially in the presence of the strain-dependent property of coatings. This paper establishes the semi-analytical model of rotational hard-coated cylindrical shells by utilizing Sanders’ shell theory and the Lagrange equation. The non-uniform arc constraint is presented to characterize the boundary of bolted shells through reforming the traditional uniform and continuous constraint. A unified method based on the region division approach is developed to introduce the strain-dependent property of coatings in the rotational state. Moreover, a general and effective algorithm for solving the nonlinear equation with strain-dependent property is developed. The convergence of the region division approach is evaluated. Combined with the FEA, published papers, modal test, and nonlinear response test, the accuracy of the present model in calculating the natural characteristics and nonlinear response with the strain-dependent property is validated. Further, the mechanism of nonlinear traveling-wave vibration is analyzed. The essence of veering for frequency loci and vital rules of nonlinear traveling-wave coupling vibration are revealed.