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Table 1.

Comparison of the analytical and numerical solutions to published data

McMahon and Cheng's results
Analytical solution
Numerical solution
ValuesValuesDifference (%)ValuesDifference (%)
Man      
    Max. force (N) 2020 1986 4.3 (1.7) 2022 1.5 (0.1) 
    h (cm) 6.24 6.25 0.01 (0.2) 6.25 0.01 (0.2) 
    k (kN m-110.9 10.7 0.2 (1.9) 10.9 0.0 (0.1) 
    Fx,peak (N) 391.3 418 26 (6.7) 391.8 0.50 (0.1) 
Dog      
    k (kN m-11.5 1.4 0.07 (4.7) 1.5 0.06 (0) 
    h (cm) 1.3 1.2 0.1 (7.7) 1.3 0.03 (2.3) 
Kangaroo      
    h (cm) 7.7 6.4 1.3 (13.0) 6.9 0.81 (10.5) 
McMahon and Cheng's results
Analytical solution
Numerical solution
ValuesValuesDifference (%)ValuesDifference (%)
Man      
    Max. force (N) 2020 1986 4.3 (1.7) 2022 1.5 (0.1) 
    h (cm) 6.24 6.25 0.01 (0.2) 6.25 0.01 (0.2) 
    k (kN m-110.9 10.7 0.2 (1.9) 10.9 0.0 (0.1) 
    Fx,peak (N) 391.3 418 26 (6.7) 391.8 0.50 (0.1) 
Dog      
    k (kN m-11.5 1.4 0.07 (4.7) 1.5 0.06 (0) 
    h (cm) 1.3 1.2 0.1 (7.7) 1.3 0.03 (2.3) 
Kangaroo      
    h (cm) 7.7 6.4 1.3 (13.0) 6.9 0.81 (10.5) 

h values for the kangaroo and dog for McMahon and Cheng's data were measured from graphs. Differences between the analytical solution and the numerical solution to McMahon and Cheng's data are presented as absolute differences (percentage differences to 1 decimal place are given in parentheses).

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