Parallel Computer/Recursive Machine Dynamic Numerical Algorithms

并行计算机/递归机动态数值算法

• 批准号: 8611572
• 负责人: Edward Haug
• 金额: $ 3万
• 依托单位: University of Iowa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1986
• 资助国家: 美国
• 起止时间: 1986-09-01 至 1988-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8611572&HistoricalAwards=false
• 关键词: Parallel; Computer; Recursive; Machine; Dynamic

Analysis of multi-body systems requires formulation of mixed systems of differential equations of motion of non-linear algebraic equations of constraint. It is not possible to solve these equations in real-time using serial computers. The PI has derived a novel formulation of the equations of motion for constrained mechanical systems, using tools of variational and vector calculus. The feasibility and applicability of parallelism for this new class of algorithms for machine dynamics to speedup the solution will be explored. The possibility of real-time dynamic analysis would enable the human to be part of an inter-active design environment for complex dynamic systems, for example in vehicle simulation. The potential exists for automatic generation of the equations for solution purposes.

多体系统的分析需要制定非线性代数约束方程的运动微分方程的混合系统。 使用串行计算机不可能实时求解这些方程。 PI 使用变分和矢量微积分工具导出了约束机械系统运动方程的新颖公式。 将探讨此类新型机器动力学算法的并行性以加速解决方案的可行性和适用性。 实时动态分析的可能性将使人类成为复杂动态系统交互式设计环境的一部分，例如在车辆仿真中。 存在自动生成用于求解目的的方程的潜力。