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Free Vibration Benchmarks




Full details are given of a set of some 30 Benchmarks tests of finite element assemblies in free vibration. The initial survey to establish candidate tests are then presented. For each test, a 'reference' solution and two sets of 'target' finite element results are given.


Contents 

Introduction

  • General 
  • Development of the Benchmarks

Survey of Suitable Benchmarks

  • Search Methods
    • In-House Information
    • Computerised Literature Search
    • Direct Approaches
  • Results of Search
  • Comments on Search

Identification of Requirements for Benchmarks

  • General Requirements for Benchmarks
  • Specific Requirements for Element Assembly Benchmarks
    • Beam Benchmarks
    • Thin Flate Plate Bending Element Benchmarks
    • Thick Flate Plate Bending Element Benchmarks
    • Planar Membrane Benchmarks
    • Axisymmetric Solid Element Benchmarks
    • Solid Element Benchmarks

Specific Requirments for Eigen Solution Benchmarks

Documentation of Benchmarks

  • Test Numbering
  • Target and Reference Solutions
  • Element Assemblage Tests

Element Assembly Benchmarks

  • Test 1: Plane Cross
  • Test 2: Pin-ended Double Cross
  • Test 3: Free Square Frame
  • Test 4: Cantilever with Off-center Point Masses
  • Test 5: Deep Simply-Supported Beam
  • Test 6: Circular Ring
  • Test 11a: Thin Squared Cantilever Plate
  • Test 11b: Thin Squared Cantilever Plate
  • Test 12: Free Thin Square Plate
  • Test 13: Simply-Supported Thin Square Plate
  • Test 14: Simply-Supported Thin Annular Plate
  • Test 15: Clamped Thin Rhombic Plate
  • Test 16: Cantilevered Thin Square Plate
  • Test 21 (a): Simply-Supported Thick Square Plate
  • Test 21 (b): Simply-Supported Thick Square Plate
  • Test 22: Clamped Thick Rhombic Plate
  • Test 23: Simply-Supported Thick Annular Plate
  • Test 31: Cantilevered Square Membrane
  • Test 32:  Cantilevered Tapered Membrane
  • Test 33: Free Annular Membrane
  • Test 41: Free Cylinder
  • Test 42: Thick Hollow Sphere
  • Test 43: Simply-Supported Annular Plate
  • Test 51: Deep Simply-Supported 'Solid' Beam
  • Test 52: Simply-Supported 'Solid' Square Plate
  • Test 53: Simply-Supported 'Solid' Annular Plate

Eigen Solution Benchmarks

  • Test 71: Cantilevered Beam
  • Test 72: Cantilevered 'Solid' Beam
  • Test 73: Cantilevered Thin Square Plate
  • Test 74: Cantilevered Thin Square Plate

References



Purchasing Details

Members Price
£25 | $32 | €30


Non-Members Price
£150 | $190 | €177
Order Ref: P09


About

F. Abbassian, D.J. Dawswell & N.C. Knowles

Softback - 540 Pages in 3 Volumes