An integrated approach is proposed in which a Variational Autoencoder (VAE) is trained to generate an initial solution (topology) for the Solid Isotropic Material with Penalization (SIMP) method. The VAE model is trained using 12,000 topologies generated under varying loading conditions and volume fractions. The trained VAE model then generates an intermediate topology for predefined volume fractions and loading conditions. This intermediate topology is subsequently fed into the SIMP method to produce a refined topology. The integrated approach is tested on a set of eight different topologies from a test set consisting of 100 topologies. Results demonstrate that the integrated approach generates topologies that differ slightly from those produced by the SIMP method alone. However, the compliance values of the refined topologies are found to be very close to those generated via the SIMP method. By using the intermediate topology as an initial solution, the integrated approach reduces the number of iterations by approximately \(40\%\) compared to the standard SIMP method.

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A Two-Stage Integrated Approach for Accelerating Structural Topology Optimization Using VAE and SIMP

  • Aman Kumar,
  • Deepak Sharma,
  • Subhajit Sanfui,
  • Ramsatish Kaluri

摘要

An integrated approach is proposed in which a Variational Autoencoder (VAE) is trained to generate an initial solution (topology) for the Solid Isotropic Material with Penalization (SIMP) method. The VAE model is trained using 12,000 topologies generated under varying loading conditions and volume fractions. The trained VAE model then generates an intermediate topology for predefined volume fractions and loading conditions. This intermediate topology is subsequently fed into the SIMP method to produce a refined topology. The integrated approach is tested on a set of eight different topologies from a test set consisting of 100 topologies. Results demonstrate that the integrated approach generates topologies that differ slightly from those produced by the SIMP method alone. However, the compliance values of the refined topologies are found to be very close to those generated via the SIMP method. By using the intermediate topology as an initial solution, the integrated approach reduces the number of iterations by approximately \(40\%\) compared to the standard SIMP method.