Abstract Underplatform dampers (UPD) represent an effective way to limit blade vibration in turbomachinery via frictional energy dissipation, leading to a wide range of applications. The design of an effective and reliable UPD is highly challenging, due to the inherently nonlinear nature of the contact forces, the associated computational cost for high fidelity simulation, and the manufacturing uncertainties in damper geometry. This paper presents a novel UPD optimisation approach that combines high-order, detailed nonlinear modelling of the damper interfaces with a surrogate model optimisation technique. The nonlinear dynamic behaviour of the UPD is predicted using the existing explicit damper model in combination with an ‘in-house’ multi-harmonic balance solvers, which enables capture of the damper kinematics and local contact conditions. A radial basis function based surrogate model will be used to address the computational requirement of the high fidelity simulations for alternative designs. The objective function takes into account the damping performance, resonance frequency stability and robustness due to possible uncertain variations of design parameters with manufacture tolerance. The feasibility of the proposed approach is demonstrated on a cottage roof UPD by comparing the proposed optimisation method with conventional parametric simulation method. A significantly improved solution with considerable reduction in computational effort is achieved by the current method.

中文翻译：

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使用代理模型对涡轮机应用的平台下阻尼器进行稳健设计优化

摘要 平台下阻尼器（UPD）是一种通过摩擦能量耗散限制涡轮机械叶片振动的有效方法，具有广泛的应用前景。由于接触力固有的非线性特性、高保真仿真的相关计算成本以及阻尼器几何形状的制造不确定性，有效且可靠的 UPD 的设计极具挑战性。本文提出了一种新颖的 UPD 优化方法，该方法将阻尼器界面的高阶、详细非线性建模与代理模型优化技术相结合。使用现有的显式阻尼器模型结合“内部”多谐波平衡求解器来预测 UPD 的非线性动态行为，从而能够捕获阻尼器运动学和局部接触条件。基于径向基函数的替代模型将用于解决替代设计的高保真模拟的计算要求。由于设计参数与制造公差的可能不确定变化，目标函数考虑了阻尼性能、谐振频率稳定性和鲁棒性。通过将所提出的优化方法与传统的参数模拟方法进行比较，在小屋屋顶 UPD 上证明了所提出方法的可行性。通过当前方法实现了显着减少计算工作量的显着改进的解决方案。由于设计参数与制造公差的可能不确定变化，目标函数考虑了阻尼性能、谐振频率稳定性和鲁棒性。通过将所提出的优化方法与传统的参数模拟方法进行比较，在小屋屋顶 UPD 上证明了所提出方法的可行性。通过当前方法实现了显着减少计算工作量的显着改进的解决方案。由于设计参数与制造公差的可能不确定变化，目标函数考虑了阻尼性能、谐振频率稳定性和鲁棒性。通过将所提出的优化方法与传统的参数模拟方法进行比较，在小屋屋顶 UPD 上证明了所提出方法的可行性。通过当前方法实现了显着减少计算工作量的显着改进的解决方案。