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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/developments-of-structural-dynamics
课程评论：没有评论
课程名称：结构动力学的发展 概述：本课程专注于连续结构元素与离散模型的动态实现。矩阵表示法和拉格朗日方程的隐式解是这种方法的核心，适用于保守结构系统及其高斯模式。连续元素的原型是棱柱梁，作为一个具有普遍价值的示例，隐式模型/解法使得自然特征形状在振动和冲击理论中的重要性显而易见，同时也是结构和基础的动态测试与认证的基础。 本课程从连续的视角与数字模型的视角出发，对任何动态结构进行双重视角的探讨。通过这一课程，物理学家、机械工程师和控制专家将对动态表示及适用于一般动态系统结构分析和控制的隐式解法有一个全面的了解。 课程内容基于爱因斯坦与玻尔之间著名讨论的哲学基础。 推荐：我们建议先学习“结构动力学基础：从静态到离散动力学”课程，该课程提供了独特的动力学基础视角，并可突出本课程的要点。 课程大纲： 1. **分析动力学** 描述：我们将探索拉格朗日形式主义的力量，它能够生成任何离散动态系统的方程。这似乎是奇迹，因为我们可以直接从能量中提取完整的动态方程。 2. **线性结构** 描述：线性是一个重要领域，不仅因为它对应强大的数学工具，也是结构运动的名义方式。在这一主题中，我们掌握任何数字线性系统的建模。 3. **离散特征形状** 描述：我们通过高斯对角化解决数字动态系统，从而发现自然形状（或特征形状）的概念，这对任何结构的动态行为至关重要。这打开了共振和隐式分析的世界。实际上，这些模式代表了结构的实际动态“DNA”。 4. **梁的动力学** 描述：真实结构由连续的梁和壳体构成。梁是演示连续模式的理想原型，明确表明离散与连续动态形状之间并没有根本区别。我们解决了弯曲动态梁的基本问题，例如桥梁、机翼、飞行的标枪等。 5. **综合评估** 描述：课程综合所学内容，进行总体评估和应用示例的探讨。
Name:Analytical dynamics
Description:We will discover the power of Lagrange formalism able to generate the equation of any discrete dynamic system. This seems miraculous because, from energies, we directly extract the complete dynamic equations.
Name:Linear structures
Description:Linearity is an important domain. Not only because it corresponds to powerfull mathematic tools but also because it's a nominal way to move for a structure. In this topic, we master the modeling of any digital linear system.
Name:Discrete eigenshapes
Description: We solve the digital dynamic system by Gaussian diagonalization, thus we discover the concept of natural shapes (or eigenshapes), fundamental for the dynamic behavior of any structure. This opens the world towards resonances and implicit analysis. In fact, the modes represent the actual dynamic DNA of the structure.
Name:Dynamics of beam
Description:Real structures are made with continuous beams and shells. Beams are the ideal prototype for the demonstration of continuous modes showing clearly that there is no fundamental difference between discrete and continuous dynamic shapes. We solve the essential problem of bended dynamic beam representing for instance a bridge, a wing, a javelin in flight, etc.
Name:General assessment
Description:
This course is devoted to the dynamic implementation of continuous structural elements vs discrete models. The matrix representation and implicit solution of Lagrange’s equation are at the heart of this approach, in the framework of conservative structural systems, with Gaussian modes. The prototype of the continuous element being the prismatic beam - as an illustration, but with general value - and the implicit model/solution leads to the major place of natural eigenshapes in vibration and shocks theory and general dynamic representation of structures and foundations of the dynamic tests and certification. In fact, this course is a perspective on the double vision of any dynamic structure, with the continuous point of view and a digital model in perspective. At the end of this course, the physicist, the mechanical engineer, the specialist in control will have a general overview of the dynamic representation and implicit solution applicable in structural analysis and control of general dynamic systems. In a certain way, it is founded on the famous discussions between Albert Einstein and Niels Bohr. Recommendation: we suggest having a look, at the course "Foundation of structural dynamics: from static to discrete dynamics". This course proposes an original point of view of the foundations of dynamics. And could highlight the present course.
