A modified Fourier solution for vibration analysis of moderately thick laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports

被引：19

作者：

Pang F. ^{[2
]}

Li H. ^{[1
]}

Miao X. ^{[2
]}

Wang X. ^{[2
]}

机构：

[1] College of Shipbuilding Engineering, Harbin Engineering University, Harbin

[2] Naval Academy of Armament, Beijing

来源：

Li, Haichao (lihaichao@hrbeu.edu.cn) | 1600年 / De Gruyter Open Ltd卷 / 04期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Arbitrary lamination schemes; Free vibration; General boundary conditions; Internal circumferential arc supports; Internal radial line supports; Laminated annular sector plates; Modified Fourier series;

D O I：

10.1515/cls-2017-0014

中图分类号：

学科分类号：

摘要：

In this paper, a modified Fourier solution based on the first-order shear deformation theory is developed for the free vibration problem of moderately thick composite laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports. In this solution approach, regardless of boundary conditions, the displacement and rotation components of the sector plate are written in the form of the trigonometric series expansion in which several auxiliary terms are added to ensure and accelerate the convergence of the series. Each of the unknown coefficients is taken as the generalized coordinate and determined using the Raleigh-Ritz method. The accuracy and reliability of the present solution are validated by the comparison with the results found in the literature, and numerous new results for composite laminated annular sector plates considering various kinds of boundary conditions are presented. Comprehensive studies on the effects of elastic restraint parameters, layout schemes and locations of line/arc supports are also made.New results are obtained for laminated annular sector plates subjected to elastic boundary restraints and arbitrary internal radial line and circumferential arc supports in both directions, and they may serve as benchmark solutions for future researches. © 2017 F. Pang et al., published by De Gruyter Open.

引用

页码：189 / 220

页数：31

共 68 条

[61]

Wang Q., Shi D., Shi X., A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation, Meccanica, 51, 8, pp. 1985-2017, (2016)

[62]

Shao D., Et al., Free vibration of refined higher-order shear deformation composite laminated beams with general boundary conditions, Composites Part B: Engineering, 108, pp. 75-90, (2017)

[63]

Wang Q., Et al., Benchmark solution for free vibration of thick open cylindrical shells on Pasternak foundation with general boundary conditions, Meccanica, 52, 1, pp. 457-482, (2017)

[64]

Zhang H., Shi D., Wang Q., An improved Fourier series solution for free vibration analysis of the moderately thick laminated composite rectangular plate with non-uniform boundary conditions, International Journal of Mechanical Sciences, 121, pp. 1-20, (2017)

[65]

Wang Q., Et al., Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions, Applied Mathematical Modelling, 42, pp. 705-734, (2017)

[66]

Wang Q., Et al., Free vibrations of composite laminated doublycurved shells and panels of revolution with general elastic restraints, Applied Mathematical Modelling, 46, pp. 227-262, (2017)

[67]

Wang Q., Et al., A unified formulation for free vibration of functionally graded carbon nanotube reinforced composite spherical panels and shells of revolution with general elastic restraints by means of the Rayleigh-Ritz method, Polymer Composites, (2017)

[68]

Shao D., Et al., An enhanced reverberation-raymatrix approach for transient response analysis of composite laminated shallow shellswith general boundary conditions, Composite Structures, 162, pp. 133-155, (2017)

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