GOALI: Computational Multibody Dynamics: Addressing Modeling and Simulation Limitations in Problems with Friction and Contact

GOALI：计算多体动力学：解决摩擦和接触问题中的建模和仿真限制

• 批准号: 1362583
• 负责人: Dan Negrut
• 金额: $ 37万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1362583&HistoricalAwards=false
• 关键词: GOALI; Computational; Multibody; Dynamics; Addressing

This Grant Opportunity for Academic Liaison with Industry (GOALI) Program project brings together a research group from the University of Wisconsin-Madison and a team of engineers from Caterpillar in a joint effort that aims at investigating and experimentally validating modeling and numerical solution methods capable of predicting through computer simulation the time evolution of large dynamic systems. The proposed research, development, and validation effort will increase the role that computer simulation plays in investigating processes such as transporting, mixing, and compacting discrete material (powders, grains, gravel, rocks). Although these processes are relevant in a broad spectrum of industries: e.g., manufacturing, construction, farming, food and drug, their investigation through computer modeling and simulation provides limited benefit today unless the problem size and/or duration of the analysis are drastically curtailed, often below practically useful limits. Better understanding the dynamics of large multibody systems is important since after water, discrete media are manipulated in industry the most. Moreover, about 50% of all traded products worldwide are in granular form and their manufacturing, transport, processing, packing and mixing pose challenging problems in which the outcomes of this research is anticipated to provide valuable insights. The granular systems to be investigated have millions to billions of components whose collective behavior is dominated by frictional contact interactions between individual elements. The research effort will concentrate on (1) investigating two classes of solutions methods; i.e., Krylov-subspace and Primal-Dual Interior Point methods, to address current numerical solution limitations that stem from the multiscale aspect of practical applications; (2) investigate augmented Lagrangian formulations to understand whether they can enhance the modeling role that complementarity approaches play in multibody dynamics; and (3) compare two classes of solution methods; i.e., penalty-based and complementarity-based, in terms of accuracy, robustness and scalability in order to compile a factual body of evidence that summarizes the advantages and disadvantages of each approach.

与工业联络（Goari）计划的学术联络机会的赠款机会汇集了威斯康星大学麦迪逊分校的研究小组，以及来自卡特彼勒的一组工程师团队，旨在共同努力，旨在调查和实验验证建模和数值解决方案方法，能够通过计算机模拟大型动态系统的计算机仿真来预测大型动态系统的时间。拟议的研究，开发和验证工作将增加计算机模拟在调查诸如运输，混合和压实离散材料（粉末，谷物，砾石，岩石）等过程中所起的作用。尽管这些过程与广泛的行业相关：例如，制造，建筑，农业，食品和药物，但通过计算机建模和模拟进行调查，除非分析的问题大小和/或分析持续时间受到严重限制，但通常低于实际上有用的限制。更好地了解大型多体系统的动态非常重要，因为在水后，在行业中最多可以操纵离散的媒体。此外，全球所有交易产品中约有50％均处于颗粒状形式，其制造，运输，加工，包装和混合姿势挑战性问题，预计这项研究的结果将提供有价值的见解。要研究的颗粒系统具有数百万到数十亿至数十亿的组成部分，其集体行为由各个元素之间的摩擦接触相互作用主导。研究工作将集中在（1）研究两类溶液方法上；即，Krylov-Subspace和Primal Dual内部点方法，以解决源自实际应用的多尺度方面的当前数值溶液限制； （2）研究增强的拉格朗日制剂，以了解它们是否可以增强互补方法在多体动力学中发挥的建模作用； （3）比较两类的解决方案方法；即，基于惩罚和互补性，就准确性，鲁棒性和可扩展性而言，以汇编事实的证据体系，总结了每种方法的优势和缺点。