A Study on the Free Vibration of the Joined Cylindrical-Spherical Shell Structures

Lee, Y. S.; Min, Yang; Kim, H. S.

doi:10.4203/ccp.71.7.3

Cited by 9 publications

(8 citation statements)

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“…Monterrubio [19] presented the Rayleigh-Ritz method and the penalty function method to solve the vibration problem of shallow shells of rectangular planform with spherical, cylindrical and hyperbolic paraboloidal geometries with classical boundary conditions. Lee et al [20] used the Rayleigh-Ritz method to investigate the free vibration of a joined hemispherical-cylindrical shell. At the joint part of the shell combination in the study, the hemispherical-cylindrical shell is assumed to have a free boundary condition while the cylindrical shell has a simply supported boundary constraints.…”

Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Jin

Xiong

et al. 2014

International Journal of Mechanical Sciences

122

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Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Jin

Xiong

et al. 2014

International Journal of Mechanical Sciences

122

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“…This kinematic model, (4) can be rewritten in the matrix form Refer to (5) Where and are the global and mid-plane displacement vectors. contains the thickness coordinate functions, as expressed here, Refer to (6) The shallow curved shell is shown in Fig.7(ii) with sides a and b.…”

Section: A Kinematic Paradigm and Numerical Proceduresmentioning

confidence: 99%

“…Y.S. Lee et al [5] presented the free vibration characteristics of joined spherical -cylindrical shells with different classical boundary conditions. The detailed parametric studies scrutinized on the effect of the shallowness of the spherical and length of the cylindrical shell structures.…”

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confidence: 99%

Free Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on FEA

Srilakshmi*,

Ratnam,

Badiganti

2020

IJITEE

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The following study explored the free vibration characteristics of a rectangular spherical shell. An efficient formulation developed Higher-order shear deformation theory (HSDT), conjunction with the numerical procedure (FEM). To determine the desired volume fraction obtained through the Four-parameter power-law distribution considered on the top surface is ceramic-rich. In contrast, the base surface is metal-rich. Parameters distribution gives design flexibility and different kinds of material profiles exhibited. The efficiency of the model is verified by performing convergence studies and comparison tests. The numerical results compared with earlier available literature solutions to authenticate the stability and exactness of the current approach, and good agreement perceived. Illustrated numerical examples to find the influence on the appropriate selection of the four-parameters, the mechanical behavior of the composition and effects on geometrical parameters, skew angles, different boundary conditions on their non-dimensional frequency responses examined in detail

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“…Li et al [19][20][21][22] extended the modified Fourier-Ritz approach to evaluate the free vibration of rectangular plate, sector plate, and cylindrical, conical, and spherical panels and shells of revolution with general boundary conditions. Lee et al [23] applied Flügge's thin shell theory and Rayleigh's energy method to analyze the free vibration characteristics of the joined spherical-cylindrical shell with general edge constraints. In addition, a modal test was conducted to validate the dependability of the method.…”

Section: Introductionmentioning

confidence: 99%

A Unified Formulation for Free Vibration of Spherical Cap Based on the Ritz Method

Sun

Miao

et al. 2019

Shock and Vibration

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The free vibration characteristic of spherical cap with general edge constraints is studied by means of a unified method. The energy method and Kirchhoff hypothesis are adopted to derive the formulas. The displacement functions are improved based on the domain decomposition method, in which the unified Jacobi polynomials are introduced to represent the displacement function component along circumferential direction. The displacement function component along axial direction is still the Fourier series. In addition, the spring stiffness method forms a unified format to deal with various complex boundary conditions and the continuity conditions at two adjacent segments. Then, the final solutions can be obtained based on the Ritz method. To prove the validity of this method, the results of the same condition are compared with FEM, published literatures, and experiment. The results show that the present method has the advantages of fast convergence, high solution accuracy, simple boundary simulation, etc. In addition, some numerical results of uniform and stepped spherical caps with various geometric parameters and edge conditions are reported.

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A Study on the Free Vibration of the Joined Cylindrical-Spherical Shell Structures

Cited by 9 publications

References 0 publications

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Free Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on FEA

A Unified Formulation for Free Vibration of Spherical Cap Based on the Ritz Method

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