Add support for PBEAM, PBEAML and CBEAM Nastran cards#390
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timryanb
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Oct 1, 2025
timryanb
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Oct 1, 2025
…upport in cython interface for `BasicBeamConstitutive`
…BeamConstitutive`
The tube cross-section is parametrised by the inner diameter and wall thickness. Seven routines computed the outer diameter as d0 = inner + wall, which is only correct for radii. The correct formula is d0 = inner + 2*wall. This corrupted the cross-sectional area A = pi/4*(d0^2 - d1^2) and bending inertia Ia = pi/64*(d0^4 - d1^4) used for mass, stiffness, and stress, and also produced inconsistent geometry relative to the failure routines which already used the correct outer radius r0 = 0.5*inner + wall. Fix all seven d0 sites and correct the dependent DV sensitivity coefficients: dA/d(inner): pi*wall/2 -> pi*wall dA/d(wall): pi*d0/2 -> pi*d0 dIa/d(wall): pi*d0^3/16 -> pi*d0^3/8 The failure routines (evalFailure, evalFailureStrainSens, addFailureDVSens) use r0 = 0.5*inner + wall throughout and are unchanged. Update integration test golden values in test_tube_beam.py and test_tube_beam_pbarl.py to reflect the corrected cross-section geometry (outer diameter 0.11 m -> 0.12 m for the d=0.1, t=0.01 test case). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Mark every local variable that is initialised once and never mutated as TacsScalar const (right-const per project style). Applies to rho, d0, d1, A, Ia, G, kcorr, r0, fail, dA, dIa, and dr0 across all methods. Variables that cannot be const are index (incremented), E/nu (written by getIsotropicProperties out-param), and the stack arrays e0/s0/s0d/ e0d (elements assigned after declaration). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
…tiffness The TACS beam element computes the e[2] bending strain as -kappa_z (the axial derivative of director d1), not the textbook +kappa_z. The stiffness derivation used the textbook convention, which flipped the sign of the centroid-offset axial coupling (EA*xc2) and the EI23 off-diagonal in populateMats. Rewrite BeamSectionEqns.py in the element convention so the generated C matrix matches the element, and update populateMats accordingly: EI23 is now positive and the ad-hoc xc2 negation is removed. Symmetric, unoffset sections (I23=0) are numerically unchanged; the fix matters for offset and asymmetric sections. Add the sympy generator BeamSectionEqns.py to the repo for reproducibility. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
PBARL ROD (a solid circle) was translated to IsoTubeBeamConstitutive, whose transverse-shear correction factor is the thin-walled-tube limit 2(1+nu)/(4+3nu) ~ 0.53. For a solid circle the correct (Cowper 1966) value is 6(1+nu)/(7+6nu) ~ 0.89, so the beam was ~1.6x too soft in shear and transverse-load tip deflections were ~6% high vs Nastran. Route circular sections through BasicBeamConstitutive with kcorr computed from Cowper's hollow-circular formula (m = inner/outer diameter): it gives the solid value as m->0 and the thin-wall value as m->1. pyNastran does not expose a shear factor for PBARL, so it is computed here. Also fix a latent bug in the circular-offset branch: BasicBeamConstitutive takes I33/I22/I23, not Iy/Iz/Iyz (the old kwargs would have raised on any offset ROD/TUBE). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
…rsolve For symmetric circular sections the bending modes are degenerate pairs. Asked for exactly the reference mode count, the eigensolver could drop a twin and return a non-contiguous set, misaligning the index-by-index frequency comparison. Solve for MODAL_NUM_EIGS (20) and compare only the reference modes. The eigenvector orientation within a degenerate pair is arbitrary, so TACS and Nastran can pick different in-plane bending axes and the individual cross-MACs split even though the shapes are identical. Group reference modes by frequency and require, per TACS mode, that its best match lies within its group and that the MAC summed over the group clears the threshold. For non-degenerate modes this reduces to the previous argmax==i / mac[i,i] check. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
…nces Uncomment the PBARL/PBEAM/PBEAML rows in the case matrix and add the generated Nastran input decks and extracted reference results (bar and rod families). Tube/tube2 and CBEAM cases are enabled but remain skipped until their references are generated. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
… MAC The degeneracy-aware modal check summed the individual MAC values of a TACS mode against its degenerate reference twins. That sum equals the true projection of the shape onto the twins' subspace only when the twins are orthogonal in the plain inner product. A CBAR wa/wb offset makes the mass matrix non-diagonal, so the (still mass-orthonormal) twins acquire a small mutual dot product and the group sum splits above/below 1 (e.g. 1.06 / 0.94), tripping the threshold on the lower twin even though the subspaces coincide (confirmed: canonical correlations = 1.0 between TACS and Nastran bending subspaces, and the eigenfrequencies are offset-invariant to ~1e-9). Replace the group sum with _subspace_projection_mac = ||Q Qᵀa||²/||a||², the projection onto an orthonormalised basis of the reference group. It is rotation-invariant within the group, assumes nothing about twin orthogonality, and reduces exactly to mac[ii, ii] for a non-degenerate (singleton) group. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Frequencies and mode shapes are independent comparisons, so split test_modal into test_modal_frequencies and test_modal_shapes. A failure now identifies which of the two broke without reading the assertion. A shared _solveModal helper does the eigensolve, loads the references, and returns aligned arrays; the solve is memoised per class so the two tests do not solve twice when they share a process. Also simplify the single modal problem from a one-entry dict (modal_problems) to a plain attribute (modal_problem), dropping the next(iter(...)) accessors, and bump the docstring count to 8 analyses per configuration. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Circular TUBE/TUBE2 sections fail static_fy/static_fz against Nastran by up to ~1.5% near the beam root. Root cause is a transverse-shear-correction-factor convention difference, not a TACS error: TACS's IsoTubeBeamConstitutive uses the Cowper (FSDT) factor k = 2(1+nu)/(4+3nu) ~ 0.53 (its effective k matches Cowper to 4 significant figures), while Nastran's auto-computed PBARL/PBEAML TUBE factor is the elementary thin-walled-tube value k ~ 0.50. Both are standard textbook coefficients. The effect is confined to transverse tip-force cases (where shear flexibility contributes) and is largest near the root where shear dominates bending; bending-moment, torsion, and axial cases are unaffected. Relax the static tolerance to 2e-2 only for TUBE/TUBE2 transverse-force cases, gated on a new SECTION class attribute, with the rationale documented inline. All other cases keep the tight 1e-3 default. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
…e MAC The modal mode-shape check compared each TACS mode against the span of its reference degenerate group. When a degenerate bending pair straddles the 10-mode Nastran reference cutoff its upper twin is absent from the references, so the surviving boundary mode's reference span is incomplete and the (correct) TACS shape cannot project onto it — a guaranteed false failure, e.g. cbar_pbarl_tube2_baseline mode 10. Build the degenerate groups from the oversolved TACS spectrum rather than the references. For a complete group, project the TACS shape onto the reference span as before. For a truncated-twin group, reverse the projection: project the orphaned reference shape onto the complete oversolved TACS span (which holds the whole pair), with a mirror-image swap guard. _solveModal now returns the full oversolved TACS spectrum and shapes. Lower MAC_THRESHOLD 0.99 -> 0.98: the projection MAC degrades monotonically with bending-mode order (1.0000/0.9992/0.9966 for the 1st-3rd pairs, 0.9861 for the truncated 4th), mirroring the high-mode frequency divergence the 5% frequency tolerance already allows. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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As per title.
PBEAM and PBEAML cards can be used to define beam elements whose cross section varies over their length. Since TACS doesn't support this I simply use average properties.
I have added an example modal analysis of a tapered beam defined using either PBEAM or PBEAML cards, the TACS mode frequencies match NASTRAN pretty closely:
ToDo: