Vibration study of clamped-free elliptical cylindrical shells

Pusey, C. G.; Sewall, J. L.

doi:10.2514/3.6324

Cited by 44 publications

(4 citation statements)

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“…For validation of the present formulation, firstly, the obtained results are validated with those of the previous research results available in the literature. In Table 2, the obtained natural frequencies (NFs) of the cylindrical shell are validated with the results of Sewall and Naumann (1968), which are obtained experimentally. Also, in Table 3, the obtained NFs of the FGP cylindrical shell are validated with the results of Wang and Wu (2017).…”

Section: Validation Of the Present Approachmentioning

confidence: 76%

Subharmonic and superharmonic resonances of five-layered porous functionally graded sandwich cylindrical shells with two-layered viscoelastic cores

Foroutan

Dai

2022

Journal of Vibration and Control

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In this research, the subharmonic (SUBH) and superharmonic (SUPH) resonances of five-layered porous functionally graded sandwich (PFGS) cylindrical shells with two-layered viscoelastic cores (VECs) are investigated. The sandwich cylindrical shell is composed of three porous functionally graded (PFG) face layers and two VECs. The VECs are made of Kelvin–Voigt type material. The material properties of the PFG face layers are considered as continuous through the thickness of each face regarding a porosity coefficient and a volume fraction index. Two types of five-layered PFGS cylindrical shells with two-layered VESs, including porosity evenly distributed (Type 1) and porosity unevenly distributed (Type 2) along the thickness direction, are considered in this research. Based on the Donnell shell theory, von-Kármán equation, and Hooke’s law, the stress-strain relations are developed for the five-layered PFGS cylindrical shells. The discretized governing equation via Galerkin’s method is also derived. With the governing equations proposed and the method of multiple scales, the SUBH and SUPH resonances of the shells are investigated systematically. The influences of geometrical, and material parameters on the SUBH and SUPH resonances of the system are studied and presented. New results for SUBH and SUPH resonances of the five-layered PFGS cylindrical shells with two-layered VECs are provided for the first time and can be utilized as a benchmark for researchers and engineers in this area.

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Section: Validation Of the Present Approachmentioning

confidence: 76%

Subharmonic and superharmonic resonances of five-layered porous functionally graded sandwich cylindrical shells with two-layered viscoelastic cores

Foroutan

Dai

2022

Journal of Vibration and Control

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“…Sewall [6] conducted series experiments to study the vibration of oval cylindrical shell, and experimental data was plotted in figures and tables for researchers. Baudak [7] applied spline matching method to investigate the free vibration of non-circular cylindrical shell, and modal frequency was calculated. Suzuki and Leissa [8][9] constructed a new Lagrange function, and use it to study the vibration of non-circular cylindrical shell with thickness varying along circumferential direction.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis on Natural Vibration of Cylindrical shell with Different Cross-section

et al. 2023

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Cylindrical shell in engineering has different cross-section, i.e., circular section, oval section, rectangular section, and so on. In this work, numerical analysis is conducted on natural vibration of cylindrical shell with different cross-section, and the difference is studied between modal frequency and modal shape from different section shell. Numerical results show that, with the same length, width /thickness and boundary condition, the first 10 order modal frequency from circular section shell is nearly 60% bigger than that from the rectangular section shell. This indicates that the load carry ability of circular cylindrical shell is much better than rectangular cylindrical shell, which will help to support the design of cylindrical shell in engineering.

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“…The vibration of non-circular cylindrical shells, especially ones with elliptical or oval cross sections has been studied extensively in the past. Sewall and Pusey studied the vibration of elliptical shells both experimentally and analytically [1].…”

Section: Introductionmentioning

confidence: 99%

Modal Analysis of a Non-Circular Cylindrical Laminated Shell Using Conformal Mapping

Thamburaj

Sun

2001

Jnl of Sandwich Structures & Materials

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This paper presents a method to analyze the free and forced vibration responses of a finite uniform cylindrical shell. The cross section of the shell is a square with rounded corners. This geometry makes the analysis of the system difficult. The approach in this work is to apply a conformal mapping to map the physical domain onto a circular cylindrical domain. The Rayleigh-Ritz method is applied to solve for the solution. Numerical results of the mode shapes and the forced response at different frequencies are presented.

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Vibration study of clamped-free elliptical cylindrical shells

Cited by 44 publications

References 0 publications

Subharmonic and superharmonic resonances of five-layered porous functionally graded sandwich cylindrical shells with two-layered viscoelastic cores

Subharmonic and superharmonic resonances of five-layered porous functionally graded sandwich cylindrical shells with two-layered viscoelastic cores

Numerical Analysis on Natural Vibration of Cylindrical shell with Different Cross-section

Modal Analysis of a Non-Circular Cylindrical Laminated Shell Using Conformal Mapping

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