# Frequency Response Analysis

## Frequency Response Analysis

This analysis uses the data of tutorial/17_freq_beam. The first step of the analysis is to change the overall control data for eigenvalue analysis, hecmw_ctrl_eigen.dat, to hecmw_ctrl.dat and perform eigenvalue analysis. Further, change the overall control data for frequency response analysis, hecmw_ctrl_freq.dat, to hecmw_ctrl.dat, and the eigenvalue analysis result log file, 0.log, to eigen_0.log (which is specified within the analysis control data for frequency response analysis.) Finally, frequency response analysis is performed.

### Analysis target

The target of this analysis is a cantilever whose shape and mesh data are shown in Figs. 4.17.1 and 4.17.2, respectively. The mesh is a tetrahedral primary element with 126 element and 55 nodes.

Fig. 4.17.1 : Shape of the cantilever

Fig. 4.17.2 : Mesh data of the cantilever

### Analysis content

This is a frequency response analysis in which the edge of the cantilever was fully restrained, and concentrated load was added to two nodes on the opposite edge. After performing eigenvalue analysis up to the tenth order with the same boundary conditions, the frequency response analysis was conducted with the eigenvalues and eigenvectors up to the fifth order. The analysis control data for frequency response analysis is shown below.

# Control File for FISTR
!VERSION
3
!WRITE,RESULT
!WRITE,VISUAL
!SOLUTION, TYPE=DYNAMIC
!DYNAMIC
11 , 2
14000, 16000, 20, 15000.0
0.0, 6.6e-5
1, 1, 0.0, 7.2E-7
10, 2, 1
1, 1, 1, 1, 1, 1
eigen_0.log
1, 5
!BOUNDARY
_PickedSet4, 1, 3, 0.0
_PickedSet5, 2, 1.
_PickedSet6, 2, 1.
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=NO,TIMELOG=YES
10000, 2
1.0e-8, 1.0, 0.0


### Analysis results

The relationship between frequency and displacement amplitude of the monitoring nodes, specified with analysis control data (nodal number 1) and created with Microsoft Excel, is shown in Fig. 4.17.3. Furthermore, a part of the log files of the analysis results is shown below as numerical data of the analysis.

Fig.4.17.3 Relationship between frequency and displacement amplitude of the monitoring nodes

 Rayleigh alpha:   0.0000000000000000
Rayleigh beta:   7.1999999999999999E-007
start mode=           1
end mode=           5
start frequency:   14000.000000000000
end frequency:   16000.000000000000
number of the sampling points          20
monitor nodeid=           1
14100.000000000000      [Hz] :    8.3957630463152688E-002
14100.000000000000      [Hz] :            1 .res
14200.000000000000      [Hz] :    9.1237051959262350E-002
14200.000000000000      [Hz] :            2 .res
14300.000000000000      [Hz] :    9.9610213760033539E-002
14300.000000000000      [Hz] :            3 .res
14400.000000000000      [Hz] :   0.10918495323840580
14400.000000000000      [Hz] :            4 .res
14500.000000000000      [Hz] :   0.11996212788265602
14500.000000000000      [Hz] :            5 .res
14600.000000000000      [Hz] :   0.13169277524043285
14600.000000000000      [Hz] :            6 .res
14700.000000000000      [Hz] :   0.14365135321213662
14700.000000000000      [Hz] :            7 .res
14800.000000000000      [Hz] :   0.15439888482329628
14800.000000000000      [Hz] :            8 .res
14900.000000000000      [Hz] :   0.16182392983620905
14900.000000000000      [Hz] :            9 .res