Table 3 Default parameter values used in the simulations. Here, S.D. is the standard deviation of parameter mismatch among pedestrians, which follows a normal distribution in all cases.

From: Emergence of the London Millennium Bridge instability without synchronisation

Parameter

Meaning

Units

Default value

Mismatch S.D.

Source

a

Auxiliary

m

0.047

0

Ref. 20,45

\({b}_{\min }\)

Margin of stability

m

0.0157

0.002

Ref. 18

C

Bridge damping

Ns/m

29,251

  

g

Acceleration of gravity

m/s−2

9.81

  

L

Effective leg length

m

1.17

0.092

Ref. 31

m

Pedestrian mass

kg

76.9

10

Ref. 31

M

Bridge mass

kg

113,000

 

Ref. 11

pc

Auxiliary

m

0.063

0

Ref. 20,45

Tadd

Pedestrian addition time

s

20

  

X0

Unperturbed half step length

m

0.36

 

Ref. 42,81

Y0

Unperturbed half step width

m

0.047

 

Ref. 18

λ

Damping due to walking

s/m2

23.25

0

 

ω

Unperturbed angular

rad/s

5.655

0.1

Ref. 20,42

 

Stride frequency

    

Ω

Angular bridge

rad/s

6.503

 

Ref. 11,12

 

Natural frequency