Author details

Hence we sought for solution of a nonconvex problem of finite-dimensional optimization [40] by discretization of design functions. The methods realized in the OPTCON-A software [41]

Figure 7. The stress-strain state characteristics of the vessel with the optimized design functions based on the three shell

The considered design with the continuous geodesic winding has been one of COPV widely

Important additional design characteristic is its "adaptability in manufacturing." For example, the 5–10 times difference of thickness along the meridian would become a serious obstacle for vessels manufacturing. Thus, designs of nearly minimum mass possessing good properties and satisfying to the given technological constraints could be of great value than optimum without them.

According to Amelina et al. [44], the design with the geodesic continuous winding has the

We verified the solutions of optimization problem by substituting the obtained design parameters into the direct problem. In [44] shown that all three theories yielded close results (Figure 7). The difference is noticeable only for ANST in narrow zones (less than 1% of all area of calculation) at the edges, where non-linear accounting for transverse shear gives difference of about 5%. At the same time, the estimated efforts and bending moments are very close for all the theories,

Thus, it is possible to use the simplest shell theory to solve such optimization problem and the estimation of stress-strain state will be close to those obtained using more complex theories.

• Mathematical models for nonlinear flexural deformation of CFRPs and polymer matrices with account for their different strength and stiffness behavior in tension and compression

were used to get the corresponding solution.

and the bending moments are very small.

5. Conclusions

thickness ratio about 10 and large gradient near the edge.

theories. Longitudinal force T11—dashed curves; bending moment M11—solid curves.

used in practice [42, 43].

30 Optimum Composite Structures

Sergey Golushko1,2\*

\*Address all correspondence to: s.k.golushko@gmail.com

