Introduction:
- The main data bank is: “DispControlCyc-Hn_80_160_CDSS_d1”
- Group 7 is used for illustrations as well as cycle 57.

====================================================Results as graphs



Loops of group 7



Damping vs. Strain for all groups - Median strain & damping

Group Applid Displacement(mm) Damping(%)
1 0.001 31
2 0.002 10
3 0.005 12
4 0.016 10
5 0.040 12
6 0.091 18
7 0.161 20
8 0.301 24
9 1.294 33
10 3.333 36
11 7.507 38
12 19.963 58
13 11.648 41



Damping vs. Cycle, all cycles



Damping vs.Strain, all cycles



Damping vs.Strain, all cycles, group 7



Triangle & Loop areas , all cycles, group 7


By repeating the cycle of displacements, the loops become slender; at the same time the range of strains become smaller. These lead to reduction of the area of the successive loops while the area of triangle is almost fix. As the result, reduction in damping happens by successive cycles.


Stiffness vs. Strain


G is considered as the slope of the best fitted line to each cycle.
Median of the cycles in each group is chosen as the representative.

group Applied_displacement_mm G_bestfit_MPa Strain
1 0.001 10.278 0.0012
2 0.002 50.348 0.0018
3 0.005 44.358 0.0049
4 0.010 34.675 0.0186
5 0.020 28.691 0.0481
6 0.050 21.787 0.1244
7 0.100 16.964 0.1982
8 0.200 11.267 0.3529
9 0.500 2.923 1.3051
10 1.000 1.316 3.3382
11 1.999 0.639 7.5271
12 4.998 0.206 20.3727
13 2.999 0.390 11.6725 



write.csv(final,file="C:\\Damping\\Interpretation\\final.csv", row.names = FALSE)



backbone curve



write.csv(result, file = "C:\\Damping\\Interpretation\\result.csv", row.names = FALSE)

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  1. R is used for preparing this report.↩︎

  2. It is prepared by the code Direct_Shear.Rmd↩︎

  3. Laboratory data sheet is manipulated by adding some columns, using Input_Loop.Rmd↩︎