Solving Sets of Nonlinear Equations for the Design and Analysis of Mechanical Systems

求解非线性方程组以进行机械系统的设计和分析

• 批准号: 9211440
• 负责人: Bernard Roth
• 金额: $ 18万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-02-15 至 1996-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9211440&HistoricalAwards=false
• 关键词: Solving; Sets; Nonlinear; Equations; Design

In this research project, a theoretical basis is developed for the solution of a set of nonlinear equations which are used for the design and analysis of mechanical systems. The approach allows a rapid numerical determination of all possible solutions. The main advantage of having all possible solutions is that design optimization can be performed simply by selecting the best from amongst alternative solutions. For equations with symbolic coefficients, the method yields a mathematical model from which theoretical advances can be derived. The solutions of the system equations are formulated with physical system parameters expressed as literal coefficients of a characteristic matrix or polynomial. Whereas the results are generated in the context of analysis and design of linked mechanisms, e. g., a serial jointed manipulator, they are applicable to a wide variety of engineering problems.*** //

在本研究项目中， 一组非线性方程的解，用于 机械系统的设计和分析。的方法 它允许快速确定所有可能的解决方案。 拥有所有可能的解决方案的主要优点是， 设计优化可以简单地通过选择最佳的 从备选方案中。对于具有符号 系数，该方法产生一个数学模型， 理论上的进步是可以得到的。系统的解决方案 方程是用物理系统参数来表示的 表示为特征矩阵的文字系数，或者 多项式虽然结果是在以下背景下生成的： 连杆机构的分析与设计;例如，在一个实施例中，串行 关节机械手，他们适用于各种各样的 工程问题。* //