Wave based method for vibration analysis of elastically coupled annular plate and cylindrical shell structures

Xie, Kun; Chen, Meixia; Zhang, Lei; Xie, De

doi:10.1016/j.apacoust.2017.03.012

Cited by 51 publications

(11 citation statements)

References 28 publications

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“…He et al [41] discussed the modeling acoustic problems and applied to the low-frequency applications. Also, the vibration characteristics of some engineering structures were extended by the WBM in engineering geometry applications, such as cylindrical shells with discontinuity in thickness [42], ring-stiffened cylindrical shells [43], composite laminated cylindrical shells [44], composite laminated shallow shells [45], cylindrical shells with non-uniform stiffener distribution [46], underwater cylindrical shells with bulkheads [47] and some coupled structures [48]. However, it can be seen that there is currently no relevant literature on the study of free vibration characteristics for moderately thick composite laminated cylindrical shells with arbitrary boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions

Shi

Wang

et al. 2020

Materials

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A semi-analytic method is adopted to analyze the free vibration characteristics of the moderately thick composite laminated cylindrical shell with arbitrary classical and elastic boundary conditions. By Hamilton’s principle and first-order shear deformation theory, the governing equation of the composite shell can be established. The displacement variables are transformed into the wave function forms to ensure the correctness of the governing equation. Based on the kinetic relationship between the displacement variables and force resultants, the final equation associated with arbitrary boundary conditions is established. The dichotomy method is conducted to calculate the natural frequencies of the composite shell. For verifying the correctness of the present method, the results by the present method are compared with those in the pieces of literatures with various boundary conditions. Furthermore, some numerical examples are calculated to investigate the effect of several parameters on the composite shell, such as length to radius ratios, thickness to radius ratios and elastic restrained constants.

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Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions

Shi

Wang

et al. 2020

Materials

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“…He et al [20] proposed WBM in the free vibration characteristics of cross-ply composite laminated cylindrical shell with arbitrary boundary conditions. At the same time, wavebased method is used to study the vibration characteristics of many engineering application structures, such as cylindrical shell structures [21][22][23], submerged ring-stiffened conical shells [24], elastic coupling structure of cylindrical shell and annular plate [25], rotating shell with ring stiffener in T cross section [26] and some composite laminated structures [27][28][29]. From the above literature analysis, it can be shown that there is no related reference to analyze the wave propagation characteristics of magneto-electro-thermo-elastic nanobeam by WBM.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in magneto-electro-thermo-elastic nanobeams based on nonlocal theory

Shi

Wang

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In this article, wave based method (WBM) is proposed as a new semi-analytical method to analyze the wave propagation characteristics of the magneto-electro-thermo-elastic nanobeams with arbitrary boundary conditions. According to the Timoshenko beam theory and Hamilton principle, the governing equations of the nanobeam which are related to Eringen's nonlocal theory are obtained. The displacement and external potential variables are expanded as wave function forms. In the light of the introduction of several type boundary conditions, the total matrix of the nanobeam is constituted. Searching the zero locations of the total matrix determinant by the bisection method, the natural frequencies of the nanobeam under arbitrary boundary conditions are received. To further illustrate the calculation correctness of the presented method, the results are compared with the solutions in reported references. Furthermore, a series of numerical examples are proposed to investigate the effect of each parameter on the free vibration characteristics of the nanobeam with several boundary conditions, such as beam length and thickness, external temperature rise, magnetic and electric potential. Some new numerical solutions and conclusions are presented in this paper to provide the basic foundation for subsequent research.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Wave‐Based Method for Free Vibration Analysis of Orthotropic Cylindrical Shells with Arbitrary Boundary Conditions

Pang

Huo

et al. 2019

Mathematical Problems in Engineering

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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.

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Wave based method for vibration analysis of elastically coupled annular plate and cylindrical shell structures

Cited by 51 publications

References 28 publications

Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions

Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions

Wave propagation in magneto-electro-thermo-elastic nanobeams based on nonlocal theory

Wave‐Based Method for Free Vibration Analysis of Orthotropic Cylindrical Shells with Arbitrary Boundary Conditions

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