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（EMB）中的移动载荷和接触需要在弹性物体的模型降低（MOR）中进行高度护理和关注，以及其在EMB的模拟中的应用。在项目的第一部分中，引入并研究了弹性物体上模型移动负载的两种方法。这些方法的移动载荷的扩展非常困难，应该在项目的第二部分中进行研究。因此，应将其他参数模型减少方法用于弹性多体系统，并将开发时间依赖性输入材料的近似值的扩展。除此之外，应启用机械系统的第三个方法，其中包含动态系统的系统切换，并应用于EMBS模拟中的Areal负载。所有方法将针对具有不同复杂性的机械系统实施和研究，以实现这些方法的适用性，以模拟具有移动的面积负载的弹性多体系统。

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

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

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