Parallel Computer/Recursive Machine Dynamic Numerical Algorithms

分析多体系统需要制定混合系统的运动微分方程或非线性代数约束方程。用串行计算机实时求解这些方程是不可能的。PI使用变分和矢量微积分的工具，推导了约束机械系统运动方程的新公式。本文将探讨并行性对这类机器动力学新算法加速求解的可行性和适用性。实时动态分析的可能性将使人类成为复杂动态系统的交互式设计环境的一部分，例如在车辆仿真中。为求解而自动生成方程的可能性是存在的。

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.