301. Analytical and experimental study on deformation of thin-walled panel with non-ideal boundary conditions.
- Author
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Wang, Qing, Hou, Renluan, Li, Jiangxiong, and Ke, Yinglin
- Subjects
- *
ANALYTICAL solutions , *CARTESIAN coordinates , *MATHEMATICAL complex analysis - Abstract
Highlights • Aircraft panel deformation caused by assembly variation and combined load is studied. • Analytical solutions of shell equations are proposed by the Fourier–Galerkin method. • Potential functions are introduced to solve the displacement formulae. • Coordinate transformation model is proposed to convert non-ideal boundary condition. • Experiment of panel assembly has been performed to measure actual deflections. Abstract Based on the Kirchhoff-Love's assumptions, shell equations with non-ideal boundary conditions are established to describe the deformation of thin-walled aircraft panel resulting from positioning variation and clamping force in the assembly process. The shell equations are simplified by the theory of functions of a complex variable, and the analytical solutions are presented by the Fourier series approach and Galerkin method. Meanwhile, the potential functions are introduced to calculate the particular solution, which successfully avoids employing specialized displacement functions with different types of loads. A coordinate transformation model is also developed to transform the actual displacement and rotation boundary constraint in a Cartesian coordinate system into the non-ideal boundary in the curvilinear coordinate system. To verify the general applicability of the proposed method, analytical calculation, the finite element (FE) simulation and experiment in real application have been performed taking into account simply supported, ideal boundary and non-ideal boundary conditions, respectively. The results have shown the good performance of the accuracy of presented solution. Graphical abstract Image, graphical abstract [ABSTRACT FROM AUTHOR]
- Published
- 2018
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