SEAT2D-GNN: A Seat-Inspired Elastodynamics Database with Geometric and Topological Variations on 2D Meshes, e.g. for Graph Neural Network Applications

Overview This database contains results from linear elastodynamic simulations performed on 2D “seat” geometries. The dataset comprises 1,800 examples generated using random configurations of holes (round or square), with six different parameterizations (1 round hole, 2 round holes, 3 round holes, 1 square hole, 2 square holes, 3 square holes). The geometries are grouped by sets of six in ascending order of their index. All simulations were carried out with linear T3 finite elements and time integration was done using the Newmark scheme. Matlab Files: seat_lin_i.mat Each seat_lin_i.mat file contains the following data: M: Mass matrix K: Stiffness matrix F: Time-dependent loading term ddlu: Boolean indices indicating free degrees of freedom lt: List of 400 time steps Uref: Primal solution field (displacements) over time The equation solved in these simulations is: M d2Uref/dt2 + K Uref = F. Python Reader: transfer_mat2py.py A Python script, transfer_mat2py.py, is provided to facilitate reading the .mat files within a Python environment. This script allows users to import the simulation data (mass matrix, stiffness matrix, loading terms, etc.) directly into their Python workflows. Python Files: seat_i.pt Each seat_i.pt file is stored in the torch_geometric.data “graph” format and contains: Node features: X: Node positions and local contributions of the stiffness matrix N: Node type (Dirichlet, non-zero Neumann, or zero Neumann) F: Loading term at each node Edge features: edge_attr: Stiffness matrix contributions associated with each edge edge_index: Graph connectivity Output fields: s1: First spatial mode of the primal solution s2: Second spatial mode of the primal solution s3: Third spatial mode of the primal solution This dataset can be used to develop and benchmark methods for reduced-order modeling, machine learning approaches in computational mechanics, or any application that requires detailed finite element simulations of linear elastodynamics on heterogeneous 2D geometries.