Free vibration analysis for composite laminated doubly-curved shells of revolution by a semi analytical method

Li, Haichao; Pang, Fuzhen; Wang, Xueren; Du, Yuan; Chen, Hailong

doi:10.1016/j.compstruct.2018.05.143

Cited by 86 publications

(22 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e input loads were loaded at the bottom and transmitted to the top plate. e dynamic impact response characteristics of mechanical equipment are closely related to their natural vibration characteristics [23][24][25][26]. Modal analysis results show that the rst-order frequencies of the local vibration from the rst plate to the fth plate in the model were 50 Hz, 60 Hz, 68 Hz, 78 Hz, and 90 Hz, respectively.…”

Section: Simulation Resultsmentioning

confidence: 99%

Experimental Research on the Impact Environment of Multiplate Cabinet

Guo

Huang

Kang

et al. 2019

Shock and Vibration

View full text Add to dashboard Cite

As an installation and protection device for electrical and electronic components, a shipboard cabinet is a typical multiplate structure. In order to study the impact environment distribution laws of such structures, impact testing was carried out on a shipboard cabinet under four working conditions in this paper. In addition, the impact response characteristics of such a multiplate structure were determined by numerical simulation and theoretical analysis. The impact environments of some pivotal points in cabinet were measured and some laws of dynamic response were found. The impact environment of central position was more severe on a single plate because of the first vibration modal. For different plates, the responses were usually similar at low-frequency band and a little different at high-frequency band. The theoretical analysis of the single degree of freedom oscillator was carried out, and the sensitivity of the response to the different characteristic frequencies was discussed based on the shock spectrum theory. A new method of calculating the response at a special frequency was proposed and verified.

show abstract

Section: Simulation Resultsmentioning

confidence: 99%

Experimental Research on the Impact Environment of Multiplate Cabinet

Guo

Huang

Kang

et al. 2019

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…The displacement components of stepped FG paraboloidal shell are represented by U, V and W. In addition, the doubly curved paraboloidal shell is divided into H shell segments along axial direction [24,25].…”

Section: Fundamental Theorymentioning

confidence: 99%

Application of First-Order Shear Deformation Theory on Vibration Analysis of Stepped Functionally Graded Paraboloidal Shell with General Edge Constraints

Pang

Jing

et al. 2018

Materials

Self Cite

View full text Add to dashboard Cite

The paper introduces a semi-analytical approach to analyze free vibration characteristics of stepped functionally graded (FG) paraboloidal shell with general edge conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement components along axial direction are represented by Jacobi polynomials, and the Fourier series are utilized to express displacement components in circumferential direction. Based on penalty method about spring stiffness technique, the general edge conditions of doubly curved paraboloidal shell can be easily simulated. The solutions about doubly curved paraboloidal shell were solved by approach of Rayleigh–Ritz. Convergence study about boundary parameters, Jacobi parameters et al. are carried out, respectively. The comparison with published literatures, FEM and experiment results show that the present method has good convergence ability and excellent accuracy.

show abstract

“…Panda and Singh [15,16] applied a direct iterative method to investigate nonlinear free vibration behavior of laminated composite spherical shell panel. More detailed descriptions with respect to free vibration of related structure can be found in several studies [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First‐Order Shear Deformation Theory

Pang

Gao

Cui

et al. 2019

Shock and Vibration

Self Cite

View full text Add to dashboard Cite

This paper describes a unified solution to investigate free vibration solutions of functionally graded (FG) spherical shell with general boundary restraints. The analytical model is established based on the first-order shear deformation theory, and the material varies uniformly along the thickness of FG spherical shell which is divided into several sections along the meridian direction. The displacement functions along circumferential and axial direction are, respectively, composed by Fourier series and Jacobi polynomial regardless of boundary restraints. The boundary restraints of FG spherical shell can be easily simulated according to penalty method of spring stiffness technique, and the vibration solutions are obtained by Rayleigh–Ritz method. To verify the reliability and accuracy of the present solutions, the convergence and numerical verification have been conducted about different boundary parameters, Jacobi parameter, etc. The results obtained by the present method closely agree with those obtained from the published literatures, experiments, and finite element method (FEM). The impacts of geometric dimensions and boundary conditions on the vibration characteristics of FG spherical shell structure are also presented.

show abstract

Free vibration analysis for composite laminated doubly-curved shells of revolution by a semi analytical method

Cited by 86 publications

References 43 publications

Experimental Research on the Impact Environment of Multiplate Cabinet

Experimental Research on the Impact Environment of Multiplate Cabinet

Application of First-Order Shear Deformation Theory on Vibration Analysis of Stepped Functionally Graded Paraboloidal Shell with General Edge Constraints

A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First‐Order Shear Deformation Theory

Contact Info

Product

Resources

About