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Table 5 Number of elements, nodes, and degrees of freedom of the LogFE and the conventional finite element formulation

From: Introducing the Logarithmic finite element method: a geometrically exact planar Bernoulli beam element

Formulation

  

Degrees of freedom: total (internal)

Elements

Nodes

Pin/pin

Pin/clamped

Clamped/clamped

LogFE, 1 polynomial

1

2

4 (0)

4 (1)

4 (2)

LogFE, 2 polynomials

1

2

8 (4)

8 (5)

8 (6)

Conventional FE, 3 elements

3

4

8 (0)

7 (0)

6 (0)

Conventional FE, 6 elements

6

7

17 (0)

16 (0)

15 (0)

Conventional FE, 96 elements

96

97

287 (0)

286 (0)

285 (0)