Model Order Reduction for Elastic Multibody System with Moving Interactions

具有移动交互作用的弹性多体系统的模型降阶

• 批准号: 174794781
• 负责人: Professor Dr.-Ing. Peter Eberhard
• 金额: --
• 依托单位: Institut für Technische und Numerische Mechanik (ITM)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2018-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/174794781?language=en
• 关键词: Model; Order; Reduction; Elastic; Multibody

Moving loads and contact in elastic multibody systems (EMBS) require high care and attention in model order reduction (MOR) of elastic bodies as well as its application in simulations of EMBS. In the first part of the project "Modellreduktion bei elastischen Mehrkörpersystemen mit wandernden Interaktionsstellen" two approaches to model moving loads on elastic bodies were introduced and investigated. The extension of these methods for moving areal loads which affect large areas simultaneously is very difficult and should be investigated in the second part of the project. Therefore, additional parametric model reduction methods should be applied for elastic multibody systems and the extension of the approximation of time-dependent input matrices will be developed. Apart from this, a third approach, which contains the system switching of dynamical systems, should be enabled for mechanical systems and applied for moving areal loads in EMBS simulations. All methods will be implemented and investigated for mechanical systems of different complexity to enable a prediction about the applicability of these methods to simulate elastic multibody systems with moving areal loads.

弹性多体系统 (EMBS) 中的移动载荷和接触需要高度关注弹性体模型降阶 (MOR) 及其在 EMBS 仿真中的应用”，介绍了两种对弹性体移动载荷进行建模的方法。研究扩展这些同时影响大面积的移动面荷载的方法是非常困难的，应该进行研究。因此，应该对弹性多体系统应用额外的参数模型简化方法，并且将开发瞬态输入矩阵近似的扩展，除此之外，还将开发第三种方法，其中包含系统切换。应针对机械系统启用并应用于 EMBS 模拟中的移动面载荷。所有方法都将针对不同复杂性的机械系统进行实施和研究，以预测这些方法在模拟移动弹性多体系统时的适用性。面积负载。

项目成果

Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction

使用降阶基法求解参数相关的 Lyapunov 方程并应用于参数模型降阶

• DOI: 10.1137/15m1027097
• 发表时间: 2017
• 期刊: SIAM J. Matrix Anal. Appl.
• 作者: N.T. Son;T. Stykel
• 通讯作者: T. Stykel

Model Order Reduction for Differential-Algebraic Equations: A Survey

• DOI: 10.1007/978-3-319-46618-7_3
• 发表时间: 2017
• 作者: P. Benner;T. Stykel

Balanced truncation model reduction for linear time-varying systems

线性时变系统的平衡截断模型简化

• DOI: 10.1080/13873954.2016.1198386
• 发表时间: 2016
• 期刊: Mathematical and Computer Modelling of Dynamical Systems
• 影响因子: 1.9
• 作者: N. Lang;J. Saak;T. Stykel
• 通讯作者: T. Stykel