{ "title": "NAFEMS FV32 cantilevered tapered membrane, free vibration (hex20 plane stress layer)", "kind": "benchmark", "source": "NAFEMS, The Standard NAFEMS Benchmarks, TNSB Rev. 3, October 1990, test FV32 (frequencies 44.623, 130.03, 162.70, 246.05, 379.90, 391.44 Hz); as reproduced in the Abaqus 2017 Benchmarks Guide, 'FV32: Cantilevered tapered membrane'", "quantities": [ { "id": "f1", "quantity": "frequency of mode 1 (Hz)", "measure": { "from": "modes", "pointer": "/modes/0/frequency" }, "value": 44.623, "tolerance": { "relative": 0.01 }, "reason": "targets published to five figures for 2D plane stress; a thin solid layer with a free face differs from plane stress by O((t/L)²) and the 16 × 8 quadratic mesh is converged to about 0.1%" }, { "id": "f2", "quantity": "frequency of mode 2 (Hz)", "measure": { "from": "modes", "pointer": "/modes/1/frequency" }, "value": 130.03, "tolerance": { "relative": 0.01 }, "reason": "targets published to five figures for 2D plane stress; a thin solid layer with a free face differs from plane stress by O((t/L)²) and the 16 × 8 quadratic mesh is converged to about 0.1%" }, { "id": "f3", "quantity": "frequency of mode 3 (Hz)", "measure": { "from": "modes", "pointer": "/modes/2/frequency" }, "value": 162.7, "tolerance": { "relative": 0.01 }, "reason": "targets published to five figures for 2D plane stress; a thin solid layer with a free face differs from plane stress by O((t/L)²) and the 16 × 8 quadratic mesh is converged to about 0.1%" }, { "id": "f4", "quantity": "frequency of mode 4 (Hz)", "measure": { "from": "modes", "pointer": "/modes/3/frequency" }, "value": 246.05, "tolerance": { "relative": 0.01 }, "reason": "targets published to five figures for 2D plane stress; a thin solid layer with a free face differs from plane stress by O((t/L)²) and the 16 × 8 quadratic mesh is converged to about 0.1%" }, { "id": "f5", "quantity": "frequency of mode 5 (Hz)", "measure": { "from": "modes", "pointer": "/modes/4/frequency" }, "value": 379.9, "tolerance": { "relative": 0.01 }, "reason": "targets published to five figures for 2D plane stress; a thin solid layer with a free face differs from plane stress by O((t/L)²) and the 16 × 8 quadratic mesh is converged to about 0.1%" }, { "id": "f6", "quantity": "frequency of mode 6 (Hz)", "measure": { "from": "modes", "pointer": "/modes/5/frequency" }, "value": 391.44, "tolerance": { "relative": 0.01 }, "reason": "targets published to five figures for 2D plane stress; a thin solid layer with a free face differs from plane stress by O((t/L)²) and the 16 × 8 quadratic mesh is converged to about 0.1%" } ] }