PSI - Issue 17

Ivan Baláž et al. / Procedia Structural Integrity 17 (2019) 734 – 741 Ivan Baláž, Yvona Koleková, Lýdia Moroczová/ Structural Integrity Procedia 00 ( 2019) 000 – 000

737

4

For n = 3:

E 9 1 . = + F

F

C

0.90245

 w

C

F

0.49024 

if

(6)

cr a

w

E

F

F

C

E E w F C F 3 0.49024  

0.46632

0.17789

=

+

 w

if

(7)

cr a .

E

E cr a F F = . if

E F C  3

 w

(8)

Fig. 3. F cr / F E for n = 4 and ∞ fields. Number of half-sine waves p = 1, 2, 3, 4.

Fig. 4. F cr / F E for n = 7 and ∞ fields.

Number of half-sine waves p = 1, 2, 3, 4, 5, 6, 7.

For n = 4:

16 1

F

F

C

1.61679

=

+

 w

C

F

0.15455 

if

(9)

cr a .

E

w

E

F

F

C

F C

F

0.25296

0.38445

0.15455

1.38405

=

+

 w

 

if

(10)

cr a .

E

E w

E

F

F

C

F C

F

0.63851

0.10588

1.38405

3.41422

=

+

 w

 

if

(11)

cr a .

E

E w

E

E cr a F F = . if

 E w F C  3.41422

(12)

For n = 7:

49 1

C

F

0.01641 

F

F

C

4.96477

=

+

 w

if

(13)

w

E

cr a .

E

F

F

C

F C

F

0.08157

1.23835

0.01641

0.14828

=

+

 w

 

if

(14)

cr a .

E

E w

E

F

F

C

F C

F

0.18493

0.54135

0.14828

0.59598

=

+

 w

 

if

(15)

cr a .

E

E w

E

F

F

C

F C

F

0.33985

0.2814

0.59598

1.62999

=

+

 w

 

if

(16)

cr a .

E

E w

E