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Appl. Sci. 2016, 6(11), 361; doi:10.3390/app6110361

Harmonic Differential Quadrature Analysis of Soft-Core Sandwich Panels under Locally Distributed Loads

1
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Francesco Tornabene
Received: 25 October 2016 / Revised: 11 November 2016 / Accepted: 12 November 2016 / Published: 18 November 2016
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Abstract

Sandwich structures are widely used in practice and thus various engineering theories adopting simplifying assumptions are available. However, most engineering theories of beams, plates and shells cannot recover all stresses accurately through their constitutive equations. Therefore, the soft-core is directly modeled by two-dimensional (2D) elasticity theory without any pre-assumption on the displacement field. The top and bottom faces act like the elastic supports on the top and bottom edges of the core. The differential equations of the 2D core are then solved by the harmonic differential quadrature method (HDQM). To circumvent the difficulties in dealing with the locally distributed load by point discrete methods such as the HDQM, a general and rigorous way is proposed to treat the locally distributed load. Detailed formulations are provided. The static behavior of sandwich panels under different locally distributed loads is investigated. For verification, results are compared with data obtained by ABAQUS with very fine meshes. A high degree of accuracy on both displacement and stress has been observed. View Full-Text
Keywords: harmonic differential quadrature method; soft-core sandwich panel; locally distributed load; static analysis harmonic differential quadrature method; soft-core sandwich panel; locally distributed load; static analysis
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Wang, X.; Yuan, Z. Harmonic Differential Quadrature Analysis of Soft-Core Sandwich Panels under Locally Distributed Loads. Appl. Sci. 2016, 6, 361.

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