Design of stiffened panels for stress and buckling via topology optimization: data

This paper "Design of stiffened panels for stress and buckling via topology optimization" investigates the weight minimization of stiffened panels simultaneously optimizing sizing, layout and topology under stress and buckling constraints. An effective topology optimization parameterization is presented using multiple level set functions. Plate elements are employed to model the stiffened panels. The stiffeners are parametrized by implicit level set functions. The internal topologies of the stiffeners are optimized as well as their layout. A free-form mesh deformation approach is improved to adjust the finite element mesh. Sizing optimization is also included. The thicknesses of the skin and stiffeners are optimized. Bending, shear and membrane stresses are evaluated at the bottom, middle and top surfaces of the elements. A p-norm function is used to aggregate these stresses in a single constraint. To solve the optimization problem, a semi-analytical sensitivity analysis is performed, and the optimization algorithm is outlined. Numerical investigations demonstrate and validate the proposed method.

Parts of source files for figures in the numerical example section of this paper are provided here.

File names:

1. [figure number]_[analysis]_[geometry].vtk

It gives the geometry information and analysis results, and it can be opened by ParaView.

Specifically,

[analysis]: sts – solving linear elasticity equation; bks – solving Eigen-buckling equation

[geometry]: skin – information about the skin is described; stiffener – information about stiffeners is described

For example,

Fig11_sts_skin.vtk shows the skin of the stiffened panel shown in Fig. 11, and its displacement (u) and von Mises stresses of elements at the bottom (stress_minus_one), middle (stress_zero), and top (stress_ one) surfaces.

Fig11_sts_stiffener.vtk shows stiffeners of the stiffened panel shown in Fig. 11, described by the zero level set of the level set function (z_flat_shell), and their displacement (u) and von Mises stresses of elements at the bottom (stress_minus_one), middle (stress_zero), and top (stress_ one) surfaces.

Fig11_bks_skin.vtk shows the skin of the stiffened panel shown in Fig. 11, and its i-th buckling mode (u_mode_[i-1]_[corresponding eigenvalue]) and thickness (w_flat_shell).

Fig11_bks_ stiffener.vtk shows stiffeners of the stiffened panel shown in Fig. 11, described by the zero level set of the level set function (z_flat_shell), and the i-th buckling mode (u_mode_[i-1]_[corresponding eigenvalue]) and thicknesses (w_flat_shell).

2. [figure number].xlsk

It gives the data of convergence history, i.e., Fig. 13.xlsk provides the data of convergence history curves shown in Fig. 13.

Research results based upon these data are published at https://doi.org/10.1007/s00158-021-03062-3