Advanced Numerical Methods for Mechanical System Dynamic Simulation

9815637这个项目是美国国家科学基金会研究中心-小型企业协同研发计划的一部分，由美国国家科学基金会成立的世界自然与自然保护委员会虚拟试验场仿真中心领导。IUCRC对虚拟试验场仿真的研究最近带来了全新的数值方法，使以前难以使用商业软件进行的各种机械系统的精确和有效的仿真成为可能。该中心基于数值分析界最近开发的隐式龙格-库塔方法，创建了用于机械系统动力学微分代数方程的刚性积分器，与现有方法相比，该方法可使刚性系统的速度提高两个数量级。所创建的算法具有可靠的误差控制，并且具有有效处理工业应用中大量存在的间歇性效应的潜力。I/UCRC工业咨询委员会已指示该中心与CADSI（该中心的一个小型企业成员）合作，将这项新技术转化为其DADS软件产品，该产品在国内和国际上销售，并被中心成员广泛使用。I/UCRC和CADSI目前的联合工作是共同开发有效的新数值方法；使用CADSI提供的精选高级计算子程序，在中心的开放计算环境中实施和测试它们；在CADSI和其他I/UCRC成员定义的应用程序上进行演示；并将其转让给CADSI进行商业化。研究和开发的重点是以下重要的工业应用类别：(1)大型刚性机械系统（例如，车辆，飞机，航天器）(2)间歇性效应（例如，库仑摩擦，齿轮和链条/轨道；机械系统中的接触/冲击；以及电力电子驱动和液压驱动中的开关诱导动力学）

9815637HaugThis project is carried out as a part of the NSF Research Centers - Small Firms Collaborative R&D initiative, under the leadership of the Cener for Virtual Proving Ground Simulation, an IUCRC established by the National Science Foundation.Research in the IUCRC for Virtual Proving Ground Simulation has recently led to fundamentally new numerical methods that enable accurate and efficient simulation of broad classes of mechanical systems that were previously intractable using commercial software. Stiff integrators for the differential-algebraic equations of mechanical system dynamics, based on implicit Runge-Kutta methods recently developed by the numerical analysis community, have been cre3ated in the Center that yield two orders of magnitude speed-up for stiff systems, compared to existing methods. The algorithms created have reliable error control and have the potential to effectively deal with intermittent effects that abound in industrial applications. The I/UCRC Industrial Advisory Board has instructed the Center to work with CADSI, a small business member of the Center, to transition this new technology into its DADS software product that is marketed nationally and internationally and is used extensively by Center members. The present joint work by the I/UCRC and CADSI is to jointly develop effective new numerical methods; implement and test them in the Center's open computing environment, using selected advanced computational subroutines provided by CADSI; demonstrate them on applications defined by CADSI and other I/UCRC members; and transfer them to CADSI for commercialization. The focus of the research and development is on the following important classes of industrial applications:(1) Large-scale stiff mechanical systems (e.g., vehicles, aircraft, spacecraft)(2) Intermittent effects (e.g., Coulomb friction, gears, and chains/track; contact/impact in mechanical systems; and switch-induced dynamics in power electronic drives and hydraulic drives)