Structural analysis solvers - structsolve#

The structsolve module provides structural analysis solvers tailored for semi-analytical models, such as the Ritz models of plates and shells of panels. With structsolve you can run:

Linear static analyses, \([K]\{u\} = \{f\}\), with static(), solve() or Analysis
Linear buckling analyses, \(([K] + \lambda [K_G])\{u\} = \{0\}\), with lb()
Frequency analyses, \(([K] + \lambda^2 [M])\{u\} = \{0\}\), with freq()
Sparse eigenvalue solvers first, with verified results and dense solvers only as a last resort, also in the browser (Pyodide) and with the faulty Intel MKL versions that break ARPACK, see Eigenvalue solvers
Non-linear static analyses with Analysis, using:
- the Newton-Raphson method, full or modified, with an optional line-search
- the arc-length methods of Riks and Crisfield, able to trace limit points, snap-through and snap-back
Configuration-dependent loads, e.g. follower pressures, in the linear and non-linear static analyses, see callbacks, and unsymmetric matrices in all the solvers, including the kinetic criterion (flutter) with freq()
Load vectors that depend on the load factor, e.g. prescribed displacements imposed exactly as linear constraints, in the non-linear static analyses, see callbacks

The constrained degrees of freedom of the models, i.e. the null rows and columns of the matrices, are removed before solving.

Code repository#

saullocastro/structsolve

Citing this library#

Saullo G. P. Castro (2026). Structural analysis solvers tailored for semi-analytical models (Version 0.8.0). Zenodo. DOI: https://doi.org/10.5281/zenodo.2581212.

Eigenvalue solvers#

Eigenvalue solvers

Usage examples#

structsolve API#

API reference

Installing structsolve#

Install from the distributed packages by simply doing:

python -m pip install structsolve

or from the source code using:

python -m pip install .

In the browser, with Pyodide, which already distributes NumPy and SciPy, the wheel published on PyPI is installed with micropip:

import micropip
await micropip.install("structsolve")

Changelog#