基于多维多项式混沌展开法的船舶不确定性优化设计

以船舶不确定性优化设计为对象,分析考虑多个随机变量对优化目标和约束的影响,提出一种基于多维多项式混沌展开法(PCE)的船舶不确定性优化设计,并将其应用于散货船工程优化实例中,保证船舶的稳健性和可靠性。

Ship Uncertainty Optimization Design Based on Multidimensional Polynomial Chaos Expansion Method

In order to reduce the risk and loss of ship failure, it is necessary to fully consider the influence of various uncertainties in the overall design. Therefore the ship uncertainty optimization design, including robust design optimization (RDO) and reliability-based design optimization (RBDO), has been developed. The key to the uncertainty design optimization is the uncertainty quantification (UQ). The commonly used Monte Carlo simulation (MCS) method is expensive in high-precision simulation, while the polynomial chaos expansion (PCE) method can be used to quantify the random properties of the output of the uncertain parameters with less computing cost, which is more advantageous than MCS method in engineering application. Therefore, this paper takes the ship uncertainty design as the research object, analyzes the influence of multiple random variables on the optimization target and the constraint, and proposes a ship uncertainty design based on the multidimensional polynomial chaos expansion method, finally applies it into the concept design of a bulk ship, to ensure the robustness and reliability of the ship.