/
Frame21 – Bathe and Wilson Eigenvalue Problem ✔

Frame21 – Bathe and Wilson Eigenvalue Problem ✔

Problem Description

A ten-bay, nine-story, two-dimensional, fixed base frame structure solved in Bathe and Wilson 1972 is analyzed for the first three eigenvalues. This model results are compared with independent results presented in Bathe and Wilson 1981 as well as independent results presented in Peterson 1981.
The material and section properties, and the mass per unit length used for all members, shown in the figure below, are consistent with those used in the two above mentioned references.
Important Note: Only bending and axial deformations are considered in the analysis. Shear deformations are ignored by setting the shear area to 0.



Library

Object Link : https://bim.aecbolt.com/objidxg3sy8lut9rpkl44dwi1w.libobj

Results Comparison

Natural Frequencies (in Hz) 

ModeAEC|BOLT BIM Cloud AppBathe and WilsonComparisonSolver Value

Percent Difference

AEC|BOLT BIM Cloud App - Bathe and Wilson

Percent Difference

Solver Value Bathe and Wilson

10.12220.1220.1220.1220%0%
20.37420.3740.3740.3750%0.27%
30.65230.6480.6480.6520.66%0.61%

Tested Features

  •  Modal analysis for eigenvalues
  •  Line mass assignment to frame objects

Related content

Frame23 – Asme Eigenvalue Problem
Frame23 – Asme Eigenvalue Problem
More like this
Frame24 – Response Spectrum a of a Three-Dimensional Moment Frame
Frame24 – Response Spectrum a of a Three-Dimensional Moment Frame
More like this
E08: ASME Frame Eigenvalues
E08: ASME Frame Eigenvalues
More like this
Frame25 – Response Spectrum Analysis of a Three-Dimensional Braced Frame!!
Frame25 – Response Spectrum Analysis of a Three-Dimensional Braced Frame!!
More like this
Frame14 - Eigenvalue Problem✔
Frame14 - Eigenvalue Problem✔
More like this
Frame22 – Two-Dimensional Moment Frame with Static and Dynamic Loads
Frame22 – Two-Dimensional Moment Frame with Static and Dynamic Loads
More like this