Transcription
Comparison with AFNOR Benchmarks“Guide de validation des progiciels de calcul de structures”AFNOR, right 2022 Autodesk, Inc.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksINTRODUCTION .4STATIC ANALYSIS .51.BAR STRUCTURES . 52D Euler’s beam bending - SSLL01.62D Timoshenko’s beam bending - SSLL02. 7Beam with elastic support - SSLL03 .83D frame with elastic supports - SSLL04 .9Bending of rigidly connected beams - SSLL05 . 112D circular arch bending - SSLL06 . 123D circular arch transverse bending - SSLL07 . 132D semi-circular arch bending - SSLL08. 14Plane truss with nodal loads - SSLL09 . 15Plane frame with uniform loads - SSLL10 . 16Plane truss with nodal loads - SSLL11 . 17Plane truss under thermal and displacement loadings - SSLL12 . 18Shortening of a tie-beam - SSLL13 . 19Plane frame bending - SSLL14 . 20Beam on elastic (Winkler’s) soil foundation - SSLL15 . 21Beam on elastic (Winkler’s) soil foundation - SSLL16 . 232.PLATE/SHELL STRUCTURES. 25Rectangular membrane under in-plane shear - SSLP01 . 26Tension of perforated membrane - SSLP02 . 27Rectangular plate: cantilever slab - SSLS01. 28Simply supported square plate - SSLS02 . 29Circular plate under uniform load - SSLS03. 30Beam of Z-section (using shell elements) - SSLS04 . 31Box section in torsion (using shell elements) - SSLS05 . 32Thin-walled cylinder under uniform radial pressure - SSLS06 . 33Thin-walled cylinder with uniform axial load - SSLS07 . 34Thin-walled cylinder under hydrostatic pressure - SSLS08 . 35Thin-walled cylinder under self-weight - SSLS09 . 36Torus under uniform internal pressure - SSLS10 . 37Thin-walled cone subjected to uniform internal pressure - SSLS11 . 38Spherical shell subjected to a pressure - SSLS14 . 39Spherical shell subjected to a moment - SSLS16 . 40Spherical shell - SSLS17 . 41Cylindrical shell subjected to concentrated force - SSLS20 . 42Spherical shell with an opening - SSLS21 . 43Spherical dome subjected to uniform external pressure - SSLS22 . 44Cylindrical membrane subjected to bending - SSLS23 . 45Simply supported rectangular plate with uniform load - SSLS24 . 46Simply supported rectangular plate with bending moment - SSLS26 . 48Plate under perpendicular shear - SSLS27. 493. VOLUMIC STRUCTURES . 50Solid cylinder subjected to simple tension - SSLV01 . 51Uniform compression of a solid sphere - SSLV02 . 53Tension of a rectangular prism due to self weight - SSLV07 . 54DYNAMIC ANALYSIS . 551. BAR STRUCTURES . 55Slender beam fixed at both ends with different inertia - SDLL03 . 56Slender beam supported at both ends subjected to axial load - SDLL05 . 582Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksTransient analysis of a cantilever under acceleration or imposed load - SDLL 06 . 59Slender beam supported at both ends subjected to moving load with constant speed-SDLL 07. 61Plane grillage of beams - SDLL08 . 62Slender cantilever fixed at both ends with variable rectangular section - SDLL09 . 63Slender beam fixed at both ends with variable rectangular section - SDLL10 . 64Ring fixed at two points - SDLL12 . 65Ring with flexible support at external point - SDLL13 . 66Eigenmode of a thin-walled tube section - SDLL14 . 68Slender cantilever with mass eccentricity at the end of it - SDLL15 . 69Symmetrical frame bending - SDLX01 . 71Hovgaard's problem - stress in the 3D pipe - bending - SDLX02 . 722. PLATES/SHELLS STRUCTURES . 74Cantilever plate - SDLS01 . 75Lozenge - shaped thin plate with one edge fixed - SDLS02. 76Simply supported rectangular thin plate - SDLS03 . 77Circular plate with fixed inner edge - SDLS04 . 78Compressor blade: thin shell - SDLS05 . 79Modal analysis of plate - SDLS06 . 80THERMOMECHANICAL ANALYSIS . 811. BAR STRUCTURES . 81Arch with 2 pinned supports - HSLL01 . 822. PLATES/SHELLS STRUCTURES . 84Thin plate deformed according to spherical curve - HSLS01 . 85CONCLUSIONS. 863Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksINTRODUCTIONThis verification manual contains a range of static and dynamic benchmark tests covering fundamental typesof behaviour encountered in structural analysis. 58 examples of static, dynamic, and thermo-mechanicsproblems are solved using bar, plate, and shell FE. All the examples have been taken from:"Guide de validation des progiciels de calcul de structures" AFNOR, 1990Benchmark results (signed as “AFNOR”) are recalled, and compared with results of ROBOT StructuralAnalysis Professional 2021.Each problem contains the following parts:- the name of the benchmark as used in the AFNOR guide,- short problem description,- scheme of the model,- comparison between ROBOT Structural Analysis Professional results and reference values.4Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksSTATIC ANALYSIS1. BAR STRUCTURES5Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLE2D Euler’s beam bending - SSLL01Name of the ional bending of an elastic (Euler) beamGEOMETRY:Length: L 1,0 m, fixed endsSection: Iy 1.7e-8, E 2.1e11 [N, m]DATA FILE:SSLL01.rtdCOMPARISON:ValueCompared resultRSA e%3Shearing force (N)540-5400.03Bending moment (Nm)280028000.03Vertical displacement (m)-4.90196e-2-4.90196e-20.01Horizontal reaction (N)-24000-240000.0NodeCONCLUSIONS:Exact agreement of results.The different signs of shear forces arise from different local coordinates sign convention.6Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLE2D Timoshenko’s beam bending - SSLL02Name of the test:Reference:Specification:GEOMETRY:DATA FILE:SSLL02AFNORInfluence of shearing stresses (Timoshenko’s beam)Elastic, linear, isotropic materialLength: L 1,44 m, simply supported endsSection: Iy 2810e-8, Ax 31e-4, Az (31E-4/2.42), E 2.0e11, NU 0.3SSLL02.rtdCOMPARISON:NodeCompared result2displacement (m)ValueRSA USION:Exact agreement of results.7Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEBeam with elastic support - SSLL03Name of the test:Reference:Specification:GEOMETRY:DATA FILE:SSLL03AFNORSimple beam under bending with elastic support in the center of length; material:elastic, linear, isotropic.Length: L 12 m, simply supported at ends and in the middleSection: Iy 6.3 e-4, E 2.1e11Stiffness Kz 2.1 e6 N/m.SSLL03.rtdCOMPARISON:ValueNodeCompared resultRSA2021AFNORDifference%3Bending moment (Nm)63000630000.03Displacement UZ (m)-0.010-0.0100.03Vertical reaction (N)21000210000.0CONCLUSION:Exact agreement of results.8Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLE3D frame with elastic supports - SSLL04Name of the test:Reference:Specification:SSLL04AFNORSpatial frame with elastic supports, under bending and torsion; material: elastic, linear,isotropic (non-compressible bars assumed)GEOMETRY:DATA FILE:SSLL04.rtdCOMPARISON:9NodeCompared resultRSA 2021AFNORDifference%5Moment MX (Nm)1562.51562.50.05Moment MY (Nm)-8437.5-8437.50.05Moment MZ (Nm)3125.03125.00.01Moment MX (Nm)-1562.5-1562.50.01Moment MY (Nm)-8437.5-8437.50.01Moment MZ (Nm)3125.03125.00.05Displacement UY (m)-0.029762-0.0297620.05Rotation RX (rad)0.160710.160710.04Displacement UZ (m)-0.37004-0.370040.0Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksCONCLUSIONS:Exact agreement of results.10Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEBending of rigidly connected beams - SSLL05Name of the test:Reference:Specification:GEOMETRY:DATA FILE:SSLL05AFNORBeams with rigid link – bending of non-compressible barsLength: L 2 m, distance 0,2 m,Left ends - fixed, right – rigidly linkedSection: Iz 4/3e-8, Ax 1.0, E 2e11SSLL05.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%2Displacement (m)-0.125-0.1250.04Displacement (m)-0.125-0.1250.01Vertical reaction (N)5005000.01Moment My (Nm)-5005000.03Vertical reaction (N)-5005000.03Moment My (Nm)-5005000.0CONCLUSION:Exact agreement of results(taking into account different sign convention).11Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLE2D circular arch bending - SSLL06Name of the test:Reference:Specification:GEOMETRY:DATA FILE:SSLL06AFNORBending of a quarter circle, fixed at the end, made from hollow round section; elasticlinear material, non-compressible bars assumedRadius of the circle 3 m, upper end fixed.Section: R 10mm, thickness 2mm (Ax 1.0), E 2e11SSLL06.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%91Displacement UX(m)0.37910.37910.091Displacement UZ(m)0.24170.24170.091Rotation RY (rad)0.16540.16540.0CONCLUSION:Exact agreement of results.12Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLE3D circular arch transverse bending - SSLL07Name of the test:Reference:Specification:GEOMETRY:DATA FILE:SSLL07AFNORA quarter circle fixed at the end, bending and torsion of a thin-walled (hollow) roundsection; material elastic linear isotropic.Radius of the circle 1 m, lower end fixed.Section: R 10mm, thickness 2mm, E 2e11SSLL07.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%91Displacement UX (m)0.134610.134620.016Moment MX (Nm)74.115 (mean)74.1180.0416Moment MZ (Nm)96,589 (mean)96.5920.03CONCLUSIONS:Results correct.13Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLE2D semi-circular arch bending - SSLL08Name of the test:Reference:Specification:GEOMETRY:DATA FILE:SSLL08AFNORA half circle simply supported at the ends, bending of a thin-walled (hollow) roundsection; material elastic linear isotropic.Radius of the circle 3 m, upper end fixed.Section: R 10mm, thickness 2mm (Ax 1.0), E 2e11SSLL08.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%1Rotation RY(rad)3.0775e-2-3.0774e-20.0181Rotation RY(rad)-3.0774e-23.0774e-20.091Displacement UZ (m)-1.9206e-2-1.9206e-20.0181Displacement UX (m)5.3911e-25.3912e-20.0CONCLUSIONS:Exact agreement of results.14Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEPlane truss with nodal loads - SSLL09Name of the test:Reference:Specification:SSLL09AFNORTruss made of two bars; material: elastic, linear, isotropic.GEOMETRY:DATA FILE:SSLL09.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%3Displacement UZ (m)-3.000 e-3-3.000 e-30.01-3Tensile force (N)21.000 e 321.000 e 30.02-3Tensile force (N)21.000 e 321.000 e 30.0CONCLUSION:Exact agreement of results.15Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEPlane frame with uniform loads - SSLL10Name of the test:Reference:Specification:SSLL10AFNORFrame made of four bars with different moments of inertia; material: elastic, linear,isotropic (non-compressible bars assumed)GEOMETRY:DATA FILE:SSLL10.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%1Rotation RY (rad)-0.2271190.2271180.01Moment MY (Nm)-11023.7211023.720.02Moment MY (Nm)-113.559113.5590.03Moment MY (Nm)-12348.59-12348.5880.04Moment MY (Nm)-1211.29971211.29940.0CONCLUSION:Exact agreement of results (taking into account different sign convention).16Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEPlane truss with nodal loads - SSLL11Name of the test:Reference:Specification:SSLL11AFNORTruss made of four bars of different cross sections;material: elastic, linear, isotropic (non-compressible bars assumed).GEOMETRY:DATA FILE:SSLL11.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%3Displacement UX (m)0.26517e-30.26517e-30.03Displacement UZ (m)0.08839e-30.08839e-30.04Displacement UX (m)3.47903e-33.47902e-30.04Displacement UZ (m)-5.60035e-3-5.60084e-30.008CONCLUSION:Exact agreement of results.17Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEPlane truss under thermal and displacement loadings - SSLL12Name of the test:Reference:Specification:SSLL12AFNORPlane truss - initial displacements - dilatation effect - pinned supports.GEOMETRY:DATA FILE:SSLL12.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%6-8Tension force (N)43633436330.08Displacement UZ (m)-0.01618-0.016180.0CONCLUSION:Exact agreement of results.18Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEShortening of a tie-beam - SSLL13Name of the test:Reference:Specification:SSLL13AFNORSimply supported beam with truss elements (hinged joints), shortening of bars; elastic,linear, isotropic material.GEOMETRY:DATA FILE:SSLL13.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%6-7Tension force (N)5845845845840.03Moment MY (Nm)49249.549249.50.02Displacement UZ (m)-0.5428 e-3-0.5428 e-30.0CONCLUSION:Exact agreement of results.19Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter product and services offerings, and specifications and pricing at any time with outnotice, and is not responsible for typographical or graphical errors that may appear in this document. 2020 Autodesk, Inc. Allrights reserved.
Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarksVERIFICATION EXAMPLEPlane frame bending - SSLL14Name of the test:Reference:Specification:SSLL14AFNORSimply supported symmetrical frame with asymmetric load; material: elastic, linear,isotropic (non-compressible bars assumed).GEOMETRY:DATA FILE:SSLL14.rtdCOMPARISON:NodeCompared resultRSA 2021AFNORDifference%1Vertical reaction (N)31500.031500.00.01Horizontal reaction (N)20239.420239.40.03Displacement UZ (m)-0.03072-0.030720.0CONCLUSION:Exact agreement of results.20Autodesk [and other products] are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/oraffiliates in the USA and/or other countries. All other brand names, product names, or trademarks belong to their respectiveholders. Autodesk reserves the right to alter p
Benchmark results (signed as "AFNOR") are recalled, and compared with results of ROBOT Structural Analysis Professional 2021. Each problem contains the following parts: - the name of the benchmark as used in the AFNOR guide, . Autodesk Robot Structural Analysis Verification Manual - Comparison with AFNOR benchmarks .
