Workshop on 21st Century Kinematics; Washington, DC; 27-28 August 2011

21世纪运动学研讨会；

• 批准号: 1068497
• 负责人: John McCarthy
• 金额: $ 4.99万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-04-01 至 2013-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1068497&HistoricalAwards=false
• 关键词: Workshop; 21st; Century; Kinematics; Washington

The purpose of this award is to support a workshop on 21st Century Kinematics, which will bring together experts and novices together to demonstrate the use of numerical algebraic geometry to solve current research problems in areas that are fundamental to advancing Kinematics. These areas are united by the challenge of solving even larger systems of polynomials, specifically the analysis and synthesis of mechanisms and robots, compliant mechanisms, and tensegrity and cable-driven systems. In each case, the challenge of formulating and solving these polynomial systems is a significant obstacle. The workshop will explore new results in numerical algebraic geometry and improved computation that have the potential to provide tools for rapid derivation, analysis and solution of complex polynomial systems. This is critical to the advancement of mechanisms and robotics research into the 21st century. The intellectual merit of this workshop award centers on advancing the capabilities for research into the design of complex and innovative mechanical systems by introducing advanced techniques of numerical algebraic geometry to the mechanisms and robotics research community.If successful, this workshop will provide an opportunity to build on past successes in the development of robotic systems, compliant and micro-electromechanical systems by using new mathematical formulations. In the 21st century, advances in information-driven systems and mechatronics demand even more innovation in mechanisms and robotics, in order to transform 'bits of information' into the 'bits of physical activity' needed to manipulate, transport and deliver goods and services. The presentations will be assembled into course notes to form the foundation of graduate courses in universities around the country that will balance theory with practice, and fundamental science with design innovation. This workshop has the potential to rapidly disseminate the computational tools of numerical algebraic geometry to a large number of researchers, and reset the expectations of what is possible in the design of increasingly complex mechanical systems.

该奖项的目的是支持一个关于21世纪Kinetics的研讨会，该研讨会将专家和新手聚集在一起，展示如何使用数值代数几何来解决对推进Kinetics至关重要的领域中的当前研究问题。 这些领域通过解决更大的多项式系统的挑战而团结起来，特别是机构和机器人，柔顺机构，张拉整体和电缆驱动系统的分析和综合。在每种情况下，制定和解决这些多项式系统的挑战是一个重大障碍。研讨会将探讨数值代数几何和改进计算的新成果，这些成果有可能为复杂多项式系统的快速推导、分析和求解提供工具。这对21世纪机械和机器人研究的进步至关重要。该研讨会的学术价值集中在通过将先进的数值代数几何技术引入机械和机器人研究领域，提高复杂和创新机械系统设计的研究能力。如果成功，该研讨会将提供一个机会，在机器人系统开发的过去成功的基础上，顺应性和微机电系统通过使用新的数学公式。在21世纪的世纪，信息驱动系统和机电一体化的进步要求在机械和机器人方面进行更多的创新，以便将“信息比特”转化为操纵、运输和交付货物和服务所需的“身体活动比特”。这些演讲将被汇编成课程笔记，以形成全国各地大学研究生课程的基础，这些课程将平衡理论与实践，基础科学与设计创新。这个研讨会有可能迅速传播的数值代数几何的计算工具，以大量的研究人员，并重新设定的期望是什么可能在设计日益复杂的机械系统。