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所在平台: Udemy |
课程主页: https://www.udemy.com/course/flight-dynamics-with-tensors/
课程评论：没有评论
**课程名称：** 张量飞行动力学 (Flight Dynamics with Tensors) **课程概述：** 本课程旨在介绍飞行动力学领域从矢量方法向张量方法的转变。随着计算机能力的飞速提升，张量方法在设计和分析复杂的航空航天系统方面展现出巨大优势，其核心在于能够独立于坐标系来建模物理过程。课程将首先介绍张量代数的基础知识，并通过对助推器在驳船上着陆的几何关系及其坐标变换进行建模，来阐述张量代数。 随着时间的概念引入，课程将探讨新型的时间旋转导数，该导数使得运动学能够独立于坐标系以真正的张量形式进行表述。这一概念将被应用于模拟离心机中的飞行员以及飞机的姿态确定。 课程还将推导点质量轨迹（也称为三自由度轨迹），这些轨迹可用于分析火箭、高超音速飞行器和无人机。此外，课程还将深入探讨完整的六自由度方程，用于评估导弹和飞机的瞬态响应，并以状态空间格式进行表示。 **先修要求：** 具备基础的矩阵代数和微分方程知识。 **配套教材：** 课程由 instructor 在 Amazon 上发布了第三版教材《Introduction to Tensor Flight Dynamics》(2023年出版)。该教材详细介绍了如何从牛顿定律和欧拉定律导出运动方程，并包含大量源于航空航天应用的习题，其中部分習題可使用 MATLAB®、SCILAB 或其他矩阵处理器进行求解。
Flight dynamics is undergoing a shift from vectors to tensors, taking advantage of the ever increasing computer power to design and analyze complex aerospace systems. The physics are modeled by tensors independently of coordinate systems. Then the tensors are converted to matrices by introducing coordinate systems and evaluated by one of the many matrix computer tools.This course introduces the novice to tensor flight dynamics, requiring only basic skills in matrix algebra and differential equations. The fundamentals of tensor algebra are introduced by modeling geometrical relationships of expended boosters landing on barges with their related coordinate transformations. As time enters the study, the new rotational time derivative enables kinematics to be formulated independent of coordinate systems in a truly tensorial format, applied to pilots in centrifuges and attitude determination of aircraft. Point-mass trajectories, also called three-degrees-of freedom trajectories, are derived for rockets, hypersonic vehicles, UAVs; while full-up, six-degrees-of-freedom equations lead to the evaluation of the transient responses of missiles and aircraft in state-space format.The course is supported by the text book "Introduction to Tensor Flight Dynamics", 3rd Ed published in 2023 by the instructor at Amazon. It provides more details on how to derive the equations of motion from Newton's and Euler's laws and features many problems derived from aerospace applications, some of them to be solved with MATLAB®, SCILAB or other matrix processors.
