With the increasing demand for refined design of ship structures, the dimensionality of design variables in ship structural optimization problems has significantly increased, reaching hundreds or even thousands. Meanwhile, finite element-based structural simulation analyses have become more detailed and computationally expensive, further transforming structural optimization design into time-consuming high-dimensional optimization problems. In recent years, the development of efficient solution methods for high-dimensional optimization problems and corresponding design techniques for ship structures has become a major research hotspot and a mainstream development trend. This paper systematically reviews recent research progress in high-dimensional optimization methods and their applications in ship structural optimization. First, the concept and characteristics of high-dimensional optimization problems are introduced, and solution methods based on cooperative and decomposition optimization strategies, together with key enabling technologies, are discussed in detail. Subsequently, representative solution methods are elaborated from two major perspectives: high-dimensional constrained optimization problems and high-dimensional expensive optimization problems. In addition, domain knowledge in ship structural optimization design and its recent engineering applications are summarized. Finally, the main issues and challenges in high-dimensional ship structural optimization are identified, and future research directions are outlined from three perspectives: surrogate modeling techniques, multitask optimization design techniques, and artificial intelligence-empowered optimization strategies.
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In order to explore the characteristics of optimization design schemes of titanium alloy double layer stiffened cylindrical shell structures under different length-to-diameter ratios and calculation pressures, a mathematical model for the lightweight optimization of such structures is established.
The main control program of the genetic algorithm is established in MATLAB, and the ultimate bearing capacity is calculated and checked by finite element software ANSYS. The differences of optimization schemes between titanium alloy single layer stiffened cylindrical shells and titanium alloy double layer stiffened cylindrical shells under different length-to-diameter ratios and different calculation pressures are then compared and analyzed.
There are two critical calculation pressures in the optimization design of titanium alloy stiffened cylindrical shells, and the optimization design is divided into three types: the stability constraint type of ultimate bearing capacity constraint control optimization design, the strength constraint type of strength constraint control optimization design, and the joint constraint type of strength and ultimate bearing capacity constraint joint control optimization design. The larger the length-to-diameter ratio, the greater the critical calculation pressure. Under the same calculation pressure and length-to-diameter ratio, the weight of the double layer shell optimization scheme is lighter than that of the single layer shell, and the critical calculation pressure of the double layer shell optimization design is smaller than that of the single layer shell under the same length-to-diameter ratio.
The results of this study can provide useful references for the optimization design of titanium alloy double layer stiffened cylindrical shell structures.
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