An Equivalent Micropolar Beam Method for Grid Sandwich Structures Under Inhomogeneous Temperature Conditions

ZHANG Rui; FENG Ya; YANG Shuo

doi:10.21656/1000-0887.390086

Volume 39 Issue 6

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ZHANG Rui, FENG Ya, YANG Shuo. An Equivalent Micropolar Beam Method for Grid Sandwich Structures Under Inhomogeneous Temperature Conditions[J]. Applied Mathematics and Mechanics, 2018, 39(6): 672-680. doi: 10.21656/1000-0887.390086

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An Equivalent Micropolar Beam Method for Grid Sandwich Structures Under Inhomogeneous Temperature Conditions

doi: 10.21656/1000-0887.390086

¹College of Mechanical Engineering, Tianjin University of Science and Technology, Tianjin 300222, P.R.China;²Tianjin Key Laboratory of Integrated Design and OnLine Monitoring for Light Industry & Food Machinery and Equipment, Tianjin 300222, P.R.China

Received Date: 2017-12-26
Rev Recd Date: 2018-05-14
Publish Date: 2018-06-15

Abstract

Abstract

The grid sandwich structure was equivalent to a continuous micropolar elastic material with the method of cell energy equivalence, and the constitutive relation of the equivalent micropolar elastic material was obtained. Based on the geometrical relation and the equilibrium condition, the governing equations for the micropolar beam with thermal deformation were established, and the expression of the variation of the micropolar beam displacement under temperature load was given. By means of a grid sandwich cantilever beam under inhomogeneous temperature conditions, the effectiveness of the micropolar elastic equivalent was verified through comparison of the thermal bending deformation results calculated with the equivalent micropolar beam model, the sandwich beam model and the ANSYS finite element software, respectively. The results also show that, more stress and strain parameters are needed to describe the nonlocality due to the increase of constraints and the decrease of degrees of freedom when the discontinuous grid sandwich structure is equivalent to a continuous medium model.
- grid sandwich structure,
- micropolar equivalence,
- temperature load,
- nonlocality

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References(17)

References

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