NE/Nastran Verification Manual - Autodesk Knowledge Network

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Autodesk Inventor Nastran 2020Verification Manual

Verification Manual 2019 Autodesk, Inc. All rights reserved.Autodesk Inventor Nastran 2020Except as otherwise permitted by Autodesk, Inc., this publication, or parts thereof, may not be reproduced in any form, by anymethod, for any purpose.Certain materials included in this publication are reprinted with the permission of the copyright holder.TrademarksThe following are registered trademarks or trademarks of Autodesk, Inc., and/or its subsidiaries and/or affiliates in the USA and other countries:123D, 3ds Max, Alias, ATC, AutoCAD LT, AutoCAD, Autodesk, the Autodesk logo, Autodesk 123D, Autodesk Homestyler, Autodesk Inventor,Autodesk MapGuide, Autodesk Streamline, AutoLISP, AutoSketch, AutoSnap, AutoTrack, Backburner, Backdraft, Beast, BIM 360, Burn,Buzzsaw, CADmep, CAiCE, CAMduct, Civil 3D, Combustion, Communication Specification, Configurator 360, Constructware, Content Explorer,Creative Bridge, Dancing Baby (image), DesignCenter, DesignKids, DesignStudio, Discreet, DWF, DWG, DWG (design/logo), DWG Extreme,DWG TrueConvert, DWG TrueView, DWGX, DXF, Ecotect, Ember, ESTmep, Evolver, FABmep, Face Robot, FBX, Fempro, Fire, Flame, Flare,Flint, ForceEffect, FormIt, Freewheel, Fusion 360, Glue, Green Building Studio, Heidi, Homestyler, HumanIK, i-drop, ImageModeler, Incinerator,Inferno, InfraWorks, InfraWorks 360, Instructables, Instructables (stylized robot design/logo), Inventor, Inventor HSM, Inventor LT, Lustre, Maya,Maya LT, MIMI, Mockup 360, Moldflow Plastics Advisers, Moldflow Plastics Insight, Moldflow, Moondust, MotionBuilder, Movimento, MPA(design/logo), MPA, MPI (design/logo), MPX (design/logo), MPX, Mudbox, Navisworks, ObjectARX, ObjectDBX, Opticore, Pixlr, Pixlr-o-matic,Productstream, Publisher 360, RasterDWG, RealDWG, ReCap, ReCap 360, Remote, Revit LT, Revit, RiverCAD, Robot, Scaleform, Showcase,Showcase 360, SketchBook, Smoke, Socialcam, Softimage, Sparks, SteeringWheels, Stitcher, Stone, StormNET, TinkerBox, ToolClip,Topobase, Toxik, TrustedDWG, T-Splines, ViewCube, Visual LISP, Visual, VRED, Wire, Wiretap, WiretapCentral, XSI.NASTRAN is a registered trademark of the National Aeronautics Space Administration. All other brand names, product names or trademarksbelong to their respective holders.DisclaimerTHIS PUBLICATION AND THE INFORMATION CONTAINED HEREIN IS MADE AVAILABLE BY AUTODESK, INC. “AS IS.”AUTODESK, INC. DISCLAIMS ALL WARRANTIES, EITHER EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TOANY IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE REGARDING THESEMATERIALS.Autodesk Inventor Nastran 2020ii

Verification ManualTABLE OF CONTENTS1. Introduction . 71.1 Model Files Location. 72. Linear Statics Verification Using Theoretical Solutions. 82.1 Nodal Loads on a Cantilever Beam . 92.2 Axial Distributed Load on a Linear Beam. 112.3 Distributed Loads on a Cantilever Beam. 132.4 Moment Load on a Cantilever Beam . 152.5 Thermal Strain, Displacement, and Stress on a Heated Beam . 172.6 Uniformly Distributed Load on a Linear Beam . 192.7 Membrane Loads on a Plate . 212.8 Thin Wall Cylinder in Pure Tension. 232.9 Thin Shell Beam Wall in Pure Bending . 252.10 Strain Energy of a Truss. 272.11 Flat Square Plate . 292.12 The Raasch Challenge Problem for Shell Elements . 312.13 Twisted Beam Static Load . 342.14 Plane Frame with Beam Span Loads . 362.15 Thermal Gradient Loads on a Beam . 382.16 Statically Indeterminate Reaction Force Analysis . 402.17 Beam Stresses and Deflection . 422.18 Laterally Loaded Tapered Support Structure Case 1. 442.19 Laterally Loaded Tapered Support Structure Case 2. 462.20 Bending of a Tee-Shaped Beam . 482.21 Bending of a Circular Plate . 502.22 Beam on Elastic Foundation. 522.23 Thick Walled Cylinder Plain Strain . 542.24 Scordelis-Lo Roof . 562.25 Out-of-Plane Bending of a Curved Bar . 582.26 Deflection of Hinged Support . 602.27 Thermal Stresses in a Plate . 622.28 Bending of a Tapered Plate. 642.29 Bending of a Tapered Beam . 662.30 Bending of a Curved Thick Beam. 682.31 Truss Reaction One . 702.32 Truss Reaction Two . 722.33 Fixed Ended Beam Un-symmetric Tapered Member . 742.34 Straight Cantilever Beam Using Solids . 762.35 Curved Beam Using Solids . 782.36 Cantilever Modeled with Variable Thickness Shells and Membranes . 802.37 Cantilever Modeled with Variable Thickness Solids . 822.38 Elongation of a Solid Bar . 842.39 Thin Shell Beam in Pure Bending . 862.40 Static Analysis of Thermal Loading . 88Autodesk Inventor Nastran 2020iii

Verification Manual2.41 Static Analysis of Pressure Loading . 903. Linear Statics Verification Using Standard NAFEMS Benchmarks . 923.1 Warped Element Test Cases . 933.1.1 Cylindrical Shell Patch . 933.1.2 Hemisphere-Point Loads . 963.2 Laminate Plate Element Test Cases . 983.2.1 Laminated Strip. 983.2.2 Wrapped Thick Cylinder . 1003.3 Shell Element Test Cases . 1023.3.1 Elliptic Membrane . 1023.3.2 Z-Section Cantilever . 1043.3.3 Skew Plate Under Normal Pressure. 1064. Normal Modes/Eigenvalue Verification Using Theoretical Solutions . 1084.1 Two Degree of Freedom Undamped Free Vibration – Principle Modes . 1094.2 Three Degree of Freedom Torsional System . 1114.3 Cantilever Plate Eigenvalue Problem . 1134.4 Bathe and Wilson Frame Eigenvalue Problem . 1154.5 Natural Frequency of a Cantilevered Mass . 1174.6 Fundamental Frequency of a Simply Supported Beam . 1194.7 Natural Frequencies of a Cantilever Beam. 1214.8 Vibration of a String Under Tension . 1234.9 Vibration of a Wedge . 1255. Normal Modes/Eigenvalue Verification Using Standard NAFEMS Benchmarks . 1275.1 Bar Element Test Cases . 1285.1.1 Pin-ended Cross – In-plane Vibration . 1285.1.2 Free Square Frame – In-plane Vibration . 1305.1.3 Cantilever with Off-center Point Masses . 1325.1.4 Deep Simply-Supported Beam . 1345.1.5 Pin-ended Double Cross – In-plane Vibration . 1365.1.6 Circular Ring – In-plane and Out-of-plane Vibration . 1385.2 Plate Element Test Cases . 1405.2.1 Thin Square Cantilevered Plate – Symmetric Modes . 1405.2.2 Thin Square Cantilevered Plate – Anti-symmetric Modes . 1435.2.3 Free Thin Square Plate . 1455.2.4 Simply – Supported Thin Square Plate . 1475.2.5 Simply – Supported Thin Annular Plate . 1495.2.6 Clamped Thin Rhombic Plate . 1515.2.7 Simply – Supported Thick Square Plate, Test A . 1535.2.8 Simply – Supported Thick Square Plate, Test B . 1555.2.9 Clamped Thick Rhombic Plate .

Verification Manual Introduction Autodesk Inventor Nastran 2020 7 1. Introduction This guide contains verification test cases for the Autodesk Inventor Nastran Finite Element Analysis solver. These test cases verify the functionality of Autodesk Inventor Nastran and encompass the