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所在平台: Udemy |
课程主页: https://www.udemy.com/course/modeling-flight-dynamics-with-tensors/
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课程名称：使用张量建模飞行动力学 课程概述：欢迎加入我的课程，提升您对张量飞行动力学的理解水平。在回顾一些历史背景和基本定义后，我们将学习张量代数，这将为飞行动力学的张量处理打下基础。课程的两个关键部分是运动学中的旋转时间导数和欧拉变换。我们将以不依赖于坐标系统的方式，探讨牛顿第二定律在张量形式下的表达，从而衍生出三、五和六自由度运动方程。欧拉定律将为我们提供姿态运动方程，并深入探讨飞行员在驾驶单发动机飞机时所经历的陀旋动力学的奇特现象。 课程从刚体的基本处理开始，但在高级阶段，我将动态法则首先应用于粒子，然后结合形成刚体。对于工程师而言，我的扰动技术尤为重要，因为它能够导出线性化状态方程。这种张量方法使我们能够构造稳态和非稳态参考飞行的扰动运动方程，并将气动导数扩展到更高的阶数，从而处理非线性气动现象。 通过在每次讲座后解决三个问题来巩固所学知识，详细的解决方案将提供验证和辅助。课程内容基于我在佛罗里达大学长达15年的研究生讲座。
Join me and take your knowledge of tensor flight dynamics to the next higher level.After some historical background and definitions, tensor algebra lays the foundation for the tensorial treatment of flight dynamics, together with the two pillars of kinematics, namely the rotational time derivative and Euler's transformation.Newton's Second Law, expressed in an invariant tensor form, independent of coordinate systems, gives rise to three-, five-, and six degrees-of-freedom equations-of-motions.Euler's Law provides the attitude equations-of-motion, and insight into the strange behavior of gyrodynamics, as experienced by pilots flying single-engine aircraft.While the introductory treatment of tensor flight dynamics starts with rigid bodies, here, at the advanced level, I apply the dynamic laws first to particles and then combine them to form rigid bodies.Of great importance to engineers is my perturbation technique that leads to linearized state equations. This tensorial approach enables the formulation of the perturbation equations-of-motion not only for steady, but also for unsteady reference flight. And the expansion of aerodynamic derivatives to higher orders permits the treatment of nonlinear aerodynamic phenomena.Practice makes perfect by solving the three problems after each lecture. For verification and for assistance the detailed solutions are included.The content of this course is based on the graduate lectures I gave at the University of Florida over a span of 15 years.
