Automated nonlinear parameter variation for vibration optimization of structures with friction

用于摩擦结构振动优化的自动非线性参数变化

• 批准号: 510730076
• 负责人: Dr.-Ing. Sebastian Tatzko
• 金额: --
• 依托单位: Institut für Dynamik und Schwingungen (IDS)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/510730076?language=en
• 关键词: Automated; nonlinear; parameter; variation; vibration

For nonlinear vibration problems, various numerical methods are known to predict a steady-state vibration behavior under periodic excitation. Thus, a design process is possible even in industrial applications, for example in turbomachinery with frictional contacts. However, the computational effort for a robust design can quickly increase with the number and discrete gradation of variable parameters. Here, the limits of an economic parameter study are often easily reached. Within the scope of this project, the design process is to be formulated as an optimization problem and automated, so that less nonlinear calculations have to be performed for specific parameter sets. With the help of optimization algorithms, which have to be adapted to the special requirements of nonlinear structural vibration problems, variable parameters can thus be adjusted simultaneously in a general nonlinear optimization. The necessary questions concerning suitable cost functions as well as numerical challenges in established methods for solving nonlinear vibration problems are addressed at the beginning. Subsequently, the structures for nonlinear optimization for implementation are investigated on low-dimensional nonlinear systems. The presentation of results for inspection by the user is also discussed. With the help of an application-oriented example with frictional contact, the process of automated optimization is extended for typical models of nonlinear structural vibration problems, before an industry-oriented example from the field of turbomachinery is treated at the end. The results can be compared with conventionally optimized parameter sets and validated, respectively, so that an industrial exploitation of the automated optimization can get discussed as well.

对于非线性振动问题，已知各种数值方法来预测周期激励下的稳态振动行为。因此，设计过程甚至在工业应用中也是可能的，例如在具有摩擦接触的振动中。然而，鲁棒设计的计算工作量会随着可变参数的数量和离散等级而迅速增加。在这里，经济参数研究的极限往往很容易达到。在本项目的范围内，设计过程将被制定为一个优化问题和自动化，以便减少非线性计算必须执行特定的参数集。借助于优化算法，这必须适应于非线性结构振动问题的特殊要求，可变参数，从而可以同时调整在一般的非线性优化。在开始时，适当的成本函数，以及在解决非线性振动问题的既定方法的数值挑战的必要问题。随后，结构的非线性优化的实施低维非线性系统进行了研究。还讨论了用户检查结果的呈现。通过一个摩擦接触的应用实例，将自动优化过程扩展到非线性结构振动问题的典型模型，最后给出了一个工业应用实例。结果可以与传统的优化参数集进行比较和验证，分别，使自动优化的工业开发可以得到讨论。