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Table 2 Estimation results of a hinged-hinged cable with inclination of 30°and 60°

From: Cable force estimation of cables with small sag considering inclination angle effect

Cable

Angel (°)

FF (Hz)

RCF (MN)

WCAE

CAE

EF (MN)

RE (%)

EF (MN)

RE (%)

Cable I

30

0.436

2.9036

2.8447

−2.028

2.9002

−0.118

60

0.429

2.9036

2.7312

−5.938

2.8999

−0.128

Cable II

30

1.335

26.13254

25.1504

−3.758

26.1484

0.061

60

1.299

26.13254

22.9983

−11.994

26.1427

0.039

Cable III

30

2.632

90.0000

82.6892

−8.123

89.9544

−0.051

60

2.527

90.0000

79.1614

−12.043

90.0070

0.008

  1. Note: FF denotes fundamental frequency; RCF denotes reference cable force; RE denotes relative error; EF denotes estimated force; WCAE denotes result without considering angel effect; and CAE denotes result considering angel effect