Abstract
The wave-based method (WBM) is a feasible method which investigates the free vibration characteristics of orthotropic cylindrical shells under general boundary conditions. Based on Reissner–Naghid’s shell theory, the governing motion equation is established, and the displacement variables are transformed into wave functions formed to satisfy the governing equations. On the basis of the kinematic relationship between the force resultant and displacement vector, the overall matrix of the shell is established. Comparison studies of this paper with the solutions in the literatures were carried out to validate the accuracy of the present method. Furthermore, by analyzing some numerical examples, the free vibration characteristics of orthogonal anisotropic cylindrical shells under classical boundary conditions, elastic boundary conditions, and their combinations are studied. Also, the effects of the material parameter and geometric constant on the natural frequencies for the orthotropic circular cylindrical shell under general boundary conditions are discussed. The conclusions obtained can be used as data reference for future calculation methods.
Highlights
Orthotropic materials have good material properties, and they are very popular in the engineering application field
Submitting the expression of force and moment resultant into equation (8), the governing equation of the orthotropic cylindrical shell is given in the matrix form as follows:
Reissner– Naghid’s shell theory is utilized to obtain the governing motion equations and the displacement variables are transformed into wave function forms to accurate the motion relationship
Summary
Orthotropic materials have good material properties, and they are very popular in the engineering application field. Liu et al [20] proposed the S-DQFEM to investigate the free vibration problem of the orthotropic circular cylindrical shells under classical boundary conditions, and the Donnell–Mushtari shell theory was adopted. Sofiyev and Aksogan [21] extended the Galerkin method to investigate the free vibration characteristics of the nonhomogeneous orthotropic thin cylindrical shells with geometric nonlinearity. For the wave-based method, it is an unfamiliar semianalytical method to investigate the dynamic characteristics of the engineering structure in some applications such as cylindrical shell structure [33,34,35], coupled structure [36,37,38,39,40], coupled vibroacoustic problem [41], composite structure [42,43,44,45], and so on
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