Frequency analysis of submerged cylindrical shells with the wave propagation approach

Zhang, Xiao Ming

doi:10.1016/s0020-7403(02)00059-0

Cited by 80 publications

(29 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Attention is paid to the boundary condition of simple support (SS) at two ends of shell. Wave number k in the longitudinal direction of cylindrical shell is mπ/L in this boundary condition [25] . There are three different kinds of natural frequencies for (21).…”

Section: Numerical Resultsmentioning

confidence: 99%

Free vibration of circular cylindrical shell with constrained layer damping

Zhang

2011

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Free vibration characteristics of circular cylindrical shell with passive constrained layer damping (PCLD) are presented. Wave propagation approach rather than finite element method, transfer matrix method, and Rayleigh-Ritz method is used to solve the problem of vibration of PCLD circular cylindrical shell under a simply supported boundary condition at two ends. The governing equations of motion for the orthotropic cylindrical shell with PCLD are derived on the base of Sanders' thin shell theory. Numerical results show that the present method is more effective in comparison with other methods. The effects of the thickness of viscoelastic core and constrained layer, the elastic modulus ratio of orthotropic constrained layer, the complex shear modulus of viscoelastic core on frequency parameter, and the loss factor are discussed.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Free vibration of circular cylindrical shell with constrained layer damping

Zhang

2011

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

show abstract

“…In 2001, Zhang et al [14] studied the vibration of thin cylindrical shells using a wave approach based on Love's thin shell theory to calculate the natural frequencies. Also, the authors applied this approach for coupled vibration of fluid-filled shells [15], cross-ply laminated composite shells [16], and submerged shells [17]. In 2005, Mei and Mace [18] presented the wave propagation approach in a Timoshenko beam with discontinuity in the length of the beam.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of composite, circular annular membranes using wave propagation approach

Bahrami

Teimourian

2015

Applied Mathematical Modelling

View full text Add to dashboard Cite

“…Wave propagation approach has been employed by many researchers (Zhang et al [22,29,30], Natsuki et al [23], Li et al [31], Liu et al [32], and Li [28]) to evaluate the approximate solution of the shell dynamic equations. This numerical technique is used in this study as it is very simple and easily applicable to determine the shell frequencies.…”

Section: Theoretical Formulationmentioning

confidence: 99%

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Shah

Mahmood

Arshad

2011

ISRN Mechanical Engineering

View full text Add to dashboard Cite

Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.

show abstract

Frequency analysis of submerged cylindrical shells with the wave propagation approach

Cited by 80 publications

References 17 publications

Free vibration of circular cylindrical shell with constrained layer damping

Free vibration of circular cylindrical shell with constrained layer damping

Free vibration analysis of composite, circular annular membranes using wave propagation approach

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Contact Info

Product

Resources

About