Shock and Vibration / 2018 / Article / Tab 5

Research Article

Experiment on Natural Frequency Change of Reinforced Concrete Members under Low Cycle Loading

Table 5

Frequency change equations and damage rate equations of test members.

Specimen categoryEquation
Frequency change equationDamage rate equation

A = 30 mmZ-1 (T = 1.875 s)ω = 0.0027N2 − 0.5725N + 78.079V = 2 ∗ 0.0027N − 0.5725
Z-2 (T = 2.4 s)ω = 0.0009N2 − 0.2582N + 78.747V = 2 ∗ 0.0009N − 0.2582
Z-3 (T = 3.0 s)ω = −0.0024N2 − 0.2918N + 80.029V = 2 ∗ (−0.0024)N − 0.2918
J-1 (T = 1.875 s)ω = 0.0051N2 − 0.7685N + 82.852V = 2 ∗ 0.0051N − 0.7685
J-2 (T = 2.4 s)ω = 0.0012N2 − 0.2823N + 85.962V = 2 ∗ 0.0012N − 0.2823
J-3 (T = 3.0 s)ω = 0.0064N2 − 0.9811N + 86.278V = 2 ∗ 0.0064N − 0.9811
M-1 (T = 1.875 s)ω = 0.005N2 − 0.873N + 88.11V=2 ∗ 0.005N − 0.873
M-2 (T = 2.4 s)ω = 0.001N2 − 0.225N + 96.91V = 2 ∗ 0.001N − 0.225
M-3(T = 3.0 s)ω = 0.002N2 − 0.386N + 92.10V = 2 ∗ 0.002N − 0.386

A = 24 mmZ-4 (T = 1.875 s)ω = 0.003 N2 − 0.341N + 88.40V = 2 ∗ 0.003N − 0.341
Z-5 (T = 2.4 s)ω = 0.002 N2 − 0.264N + 85.62V = 2 ∗ 0.002N − 0.264
Z-6 (T = 3.0 s)ω = 0.014N2 − 0.877N + 90.20V = 2 ∗ 0.0014N − 0.877
J-4 (T = 1.875 s)ω = 0.0078N2 − 1.2601N + 95.533V = 2 ∗ 0.0078N − 1.2601
J-5 (T = 2.4 s)ω = 0.0018N2 − 0.3531N + 97.122V = 2 ∗ 0.0018N − 0.3531
J-6 (T = 3.0 s)ω = 0.0015N2 − 0.286N + 96.913V = 2 ∗ 0.0015N − 0.286
M-4 (T = 1.875 s)ω = 0.001N2 − 0.238N + 102.5V = 2 ∗ 0.001N − 0.238
M-5 (T = 2.4 s)ω = 0.001N2 − 0.239N + 109.0V = 2 ∗ 0.001N − 0.239
M-6 (T = 3.0 s)ω = 0.001N2 − 0.214N + 106.6V = 2 ∗ 0.001N − 0.214

A = 18 mmZ-7 (T = 1.875 s)ω = 0.0015N2 − 0.2305N + 101.74V = 2 ∗ 0.0015N − 0.2305
Z-8 (T = 2.4 s)ω = 0.0015N2 − 0.2532N + 99.158V = 2 ∗ 0.0015N − 0.2532
Z-9 (T = 3.0 s)ω = 0.0009N2 − 0.1555N + 97.336V = 2 ∗ 0.0009N − 0.1555
J-7 (T = 1.875 s)ω = 0.0012N2 − 0.2003N + 98.11V = 2 ∗ 0.0012N − 0.2003
J-8 (T = 2.4 s)ω = 0.0011N2 − 0.255N + 87.926V = 2 ∗ 0.0011N − 0.255
J-9 (T = 3.0 s)ω = 0.0019N2 − 0.3883N + 86.874V = 2 ∗ 0.0019N − 0.3883
M-7 (T = 1.875 s)ω = 0.001N2 − 0.204N + 116.3V = 2 ∗ 0.001N − 0.204
M-8 (T = 2.4 s)ω = 0.001N2 − 0.216N + 115.2V = 2 ∗ 0.001N − 0.216
M-9 (T = 3.0 s)ω = 0.001N2 − 0.222N + 113.5V = 2 ∗ 0.001N − 0.222

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