固体和流体的标称几何和力测量

IF 3.4 Q1 ENGINEERING, MECHANICAL
Ahmed A. Shabana
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引用次数: 0

摘要

了解复杂运动场景中固体和流体惯性力及其与重力势的耦合对于评估系统稳定性和识别系统故障和事故的根本原因是必要的。由于固体和流体具有无限的自由度和分布的惯性和弹性,因此对运动学和力进行有意义的定性和定量标称测量将有助于更好地理解系统动力学。本文提出发展新的基于连续体的标称测量来表征振动和力。通过使用物质点方法,这些新的标称测度,其根源在于连续力学的平衡偏微分方程和弗莱内几何,独立于用于发展运动动力学方程的公式或广义坐标。本文提出了一种数据驱动科学方法来定义具有名义曲率和名义扭转的名义连续空间曲线几何;一个名义瞬时运动平面(IMP),它包含包括惯性力在内的所有力的合力;以及一个名义上的瞬时零力轴(IZFA),沿着它所有力的合力都消失了。虽然使用材料点方法消除了引入与方向坐标相关的力矩方程的需要,但IMP和IZFA概念可用于定义重要力矩组件的瞬时轴,这可能导致车辆侧翻等事故。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nominal geometry and force measures for solids and fluids

Understanding solid- and fluid-inertia forces and their coupling with the gravity potential in complex motion scenarios is necessary for evaluating system stability and identifying root causes of system failure and accidents. Because solids and fluids have an infinite number of degrees of freedom and distributed inertia and elasticity, having meaningful qualitative and quantitative nominal measures of the kinematics and forces will contribute to a better understanding of the system dynamics. This paper proposes developing new continuum-based nominal measures for the characterization of the oscillations and forces. By using a material-point approach, these new nominal measures, which have their roots in the continuum-mechanics partial-differential equations of equilibrium and Frenet geometry, are independent of the formulation or generalized coordinates used to develop the dynamic equations of motion. The paper proposes a data-driven-science approach to define a nominal continuum space-curve geometry with nominal curvature and torsion; a nominal instantaneous motion plane (IMP), which contains the resultant of all forces including the inertia forces; and a nominal instantaneous zero-force axis (IZFA) along which the resultant of all forces vanishes. While using the material-point approach eliminates the need for introducing moment equations associated with orientation coordinates, the IMP and IZFA concepts can be used to define the instantaneous axis of significant moment components, which can lead to accidents such as in the case of vehicle rollovers.

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CiteScore
3.50
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