Skip to main content

Table 2 Three first natural frequencies for all case studies

From: A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams

Cases

Outcomes from equations (cycles/time)

Outcomes from ABAQUS (cycles/time)

Error (%)

N.F. 1

N.F. 2

N.F. 3

N.F. 1

N.F. 2

N.F. 3

N.F. 1

N.F. 2

N.F. 3

Normal case

658.7

1423.5

2270.1

634.3

1329.0

2082.6

3.6

6.6

8.2

Case 1

687.4

1497.5

2402.5

686.5

1473.4

2351.6

0.1

1.6

2.1

Case 2

719.4

1580.4

2550.3

725.8

1581.1

2547.4

0.8

0.06

0.1

Case 3

685.0

1477.9

2355.3

667.3

1400.9

2199.6

2.6

5.2

6.6

Case 4

687.4

1482.9

2362.9

675.5

1418.4

2228.8

1.7

4.3

5.6