Papers › JAX FDM: A differentiable solver for inverse form-finding

JAX FDM: A differentiable solver for inverse form-finding

23 Jul 2023arXiv:2307.12407links table onlyarchive 2025-07-28

Rafael Pastrana, Deniz Oktay, Ryan P. Adams, Sigrid Adriaenssens

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We introduce JAX FDM, a differentiable solver to design mechanically efficient shapes for 3D structures conditioned on target architectural, fabrication and structural properties. Examples of such structures are domes, cable nets and towers. JAX FDM solves these inverse form-finding problems by combining the force density method, differentiable sparsity and gradient-based optimization. Our solver can be paired with other libraries in the JAX ecosystem to facilitate the integration of form-finding simulations with neural networks. We showcase the features of JAX FDM with two design examples. JAX FDM is available as an open-source library at https://github.com/arpastrana/jax_fdm.

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angle_vectors arpastrana/jax_fdm/src/jax_fdm/geometry/geometry.py official repository ran MIT (permissive) · d3f3c7904a944cc0 · report
cosine_vectors arpastrana/jax_fdm/src/jax_fdm/geometry/geometry.py official repository ran MIT (permissive) · 212db6114b661267 · report
face_xyz arpastrana/jax_fdm/src/jax_fdm/equilibrium/loads.py official repository ran MIT (permissive) · a13993d610cd83f5 · report
indices_from_keys arpastrana/jax_fdm/src/jax_fdm/equilibrium/indexing.py official repository ran MIT (permissive) · 0efa707f7e0d8edc · report
length_vector arpastrana/jax_fdm/src/jax_fdm/geometry/geometry.py official repository ran fingerprinted MIT (permissive) · 9039bb3a2dcf1e4c · report
spsolve_cpu arpastrana/jax_fdm/src/jax_fdm/equilibrium/sparse.py official repository unverified MIT (permissive) · 1a30c07cf28e40c3 · report
spsolve_gpu_ravel arpastrana/jax_fdm/src/jax_fdm/equilibrium/sparse.py official repository unverified MIT (permissive) · 816cd4dc26702757 · report
spsolve_gpu_stack arpastrana/jax_fdm/src/jax_fdm/equilibrium/sparse.py official repository unverified MIT (permissive) · 530898a45fca1f3e · report

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