Abstract: Structural stiffness, vibration, and strength at openings impact the service life of the opening deck. Using the polynomial penalization model (PPM) as the theoretical basis and the three-stage continuation (TSC) method, a multi-objective topology optimization (TO) integrated strategy of strength-stiffness-vibration based on the compromise programming method (CPM) and the improved fourfold combination weighting model of game theory (IFCWGT) is suggested for the opening deck. To alleviate the issue of convergence of the conventional variable density method to the local optimal solution and local modalities, PPM applying the TSC technique is introduced into the field of multi-objective concept design for the opening deck. A multi-objective TO model combining CPM and PPM-TSC for maximum unit stress minimization, static multi-strain energy minimization, and dynamic multi-frequency maximization is developed and the β method is applied to obtain the Pareto compromise solution. The IFCWGT strategy utilizing the game theory idea preference-free coupled the analytic hierarchy process (AHP), entropy weight method (EWM), criteria importance through intercriteria correlation (CRITIC) method, and coefficient of variation method (CVM) is presented to obtain sub-objective combination weight factors that combine the subjective value of design decision-makers and the objectivity of data. The results show that the proposed IFCWGT technique integrating four subjective and objective weighting methods is more advanced in terms of the sub-objective weight assignment as well as the topology performance and topology layout regarding the opening deck.

Key words: opening deck, multi-objective topology optimization, compromise programming method, improved fourfold combination weighting model of game theory, polynomial penalization model, β method, three-stage continuation method