Thermal post-buckling analysis of FGM beams considering the heat effect on materials

被引：0

作者：

He H.-N. ^{[1
]}

Yu K.-P. ^{[1
]}

机构：

[1] Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin

来源：

Gongcheng Lixue/Engineering Mechanics | 2019年 / 36卷 / 04期

关键词：

Analytical solution; First order frequency; Functionally graded beam; Thermal post-buckling; Vibration;

D O I：

10.6052/j.issn.1000-4750.2018.03.0142

中图分类号：

学科分类号：

摘要：

Thermal post-buckling analysis of functionally graded beams is of great significance for the practical implementation of functionally graded materials for the thermal insulation of spacecrafts. The governing equations of the functionally graded beam in thermal environment are obtained based on the geometrical nonlinear theory and the introduction of the physical neutral surface. By simplification, a fourth-order integral-differential equation with respect to transverse deformation is obtained, and the eigenvalue problem is solved with the clamped boundary condition. The thermal post-buckling and the vibration on the basis of the buckled configuration are investigated. Firstly, the governing equations obtained by the Hamilton's principle are proved to be approximate equations obtained by the axial extension theory. Then, considering the heat effect on the properties of the material, the influence of the slenderness ratio, functionally gradient index and temperature ratio on post-buckling vibration is analyzed in detail. The heat effect on the properties of the material can be neglected when the slenderness is large enough. Increasing the slenderness ratio, functionally gradient index or temperature ratio will increase the non-dimensional thermal buckling load. © 2019, Engineering Mechanics Press. All right reserved.

引用

页码：52 / 61

页数：9

共 41 条

[1]

Zhao L., Hu C., Application and kinetic analysis of functionally graded materials, Winged Missiles Journal, 8, pp. 93-96, (2011)

[2]

Duc N.D., Et al., Nonlinear stability of eccentrically stiffened S-FGM elliptical cylindrical shells in thermal environment, Thin-Walled Structures, 108, pp. 280-290, (2016)

[3]

Huang H.W., Zhang Y.Q., Han Q., Stability of hydrostatic-pressured FGM thick rings with material nonlinearity, Applied Mathematical Modelling, 45, pp. 55-64, (2017)

[4]

Li Q., Luan W., Li S., The stability of FGM circular plates subjected to follower force, Fiber Reinforced Plastics/Composites, 10, pp. 5-10, (2016)

[5]

Bouderba B., Houari M.S.A., Tounsi A., Et al., Thermal stability of functionally graded sandwich plates using a simple shear deformation theory, Structural Engineering & Mechanics, 58, 3, pp. 397-422, (2016)

[6]

Majumadar A., Das D., A study on thermal buckling load of clamped functionally graded beams under linear and nonlinear thermal gradient across thickness, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 232, 9, pp. 769-784, (2018)

[7]

Eroglu U., In-plane free vibrations of circular beams made of functionally graded material in thermal environment: Beam theory approach, Composite Structures, 122, pp. 217-228, (2015)

[8]

Ebrahimi F., Barati M.R., Vibration analysis of nonlocal beams made of functionally graded material in thermal environment, European Physical Journal Plus, 131, 279, pp. 1-22, (2016)

[9]

Jiang K., Thermal modal analysis of functionally graded plate, (2017)

[10]

Liu W., Shu B., Guo L., Et al., Impacts of thermal environment on modal frequency of FGM shells, Journal of Vibration and Shock, 36, 4, pp. 127-131, (2017)

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