PSI - Issue 59

Andrii Babii et al. / Procedia Structural Integrity 59 (2024) 609–616 Andrii Babii et al. / Structural Integrity Procedia 00 (2019) 000 – 000

615 7

B p a

A



1

.

(16)

q

(23) R I sh ab  0 1 4 1 1 ( )

The vertical component

B p of the equivalent contact pressure (on one support). It can be found from the

equilibrium condition of all external forces acting on the tank



ds q  



1 1 2 ( , )cos p

1 1 2 ( , )cos

2 1 2 2 ( , )cos q

0

.

ds

ds

  

  



  



0

0



S

D

1

1

After the integrals are calculated, the final result will be

2

l R



0 0 2 sin N 

.

(17)

p

1 0





B

2

The next and final stage of solving the problem is the estimation of the stress state of the shell. For this purpose, differential equations with boundary conditions corresponding to the hinged support of Tymoshenko-type shell (along the edges 1 1 1 0, l     ) were used. The results of the estimation of the stress state of the tank of the experimental sample of the small-sized sprayer from the simulated loading are presented, Fig. 3. For example, when the shell is completely loaded with all components: 0 3 0.2 ; 11000 ; 1; N p MPa m      ; shell material is stainless steel; the contact pressure on the supports is constant, then the stresses occurring in the shell will be shown on its deployment in the form of contour graph, Fig. 3. a. 0 36 ; 0 45 ;    1 0  0 0 1 1 0 0 100 ; N N b  0.02 ; 0.03 ; 0.55 ; m ; 0.135 2 m b m l m        

Fig. 3. Equivalent stresses at complete shell loading (a) and in the absence of excess pressure (b).

Another example, the same load but no internal pressure in the shell, Fig. 3. b. This may correspond to the mode of liquid transportation by the sprayer to the place of technological operation. The internal excess pressure in the shell of the specified parameters provokes maximum equivalent stresses within the range of 79.2 MPa, which is the largest and determining part of the total stress state at complete shell loading. 4. Conclusions A number of models have been developed for comprehensive description of the load on the shell, which is the sprayer tank: the contact pressure between the he tightening bandages and the shell is described - the model