Foundation of Structural Dynamics

所在平台: Coursera

课程主页: https://www.coursera.org/learn/structural-dynamics-foundation

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课程简介

课程名称:结构动力学基础 概述:本课程具有灵活的结构,旨在为每位学员提供个人的收益。学习部分可以按顺序或独立进行,每一部分内可挑选基础学习内容。整体而言,本课程旨在深入了解基本动力学,可能在结构动力学、物理学以及任何动态系统(自动化等)的控制中具备显式和隐式的应用。 课程内容包含静态、动态和热力学方法的定义,随后探讨离散(数字)动力学的牛顿分析基础。动力学并不是静态的简单扩展,而是另一种建模方法,具有开放的可能性。基本定理(牛顿等效原理、科宁定理、守恒定律)将从结构应用的角度详细阐述。 本课程不仅探讨结构的一般动力学,还开拓了对机器人技术及动态系统控制的视野。这些概念将在后续课程(结构动力学的发展)中进一步学习。 课程大纲: 1. 动力学? - 描述:让我们回到物理学的根源。在最开始,动力学是始发。动力学是所有物理学树木的主干,因此我们分析了使从静态过渡到动态的等效原则。 2. 牛顿! - 描述:冲击与振动是动力学的核心。为了实现这个雄心勃勃的计划,让我们一起深入了解牛顿的苹果,发现这个自由下落系统如何改变了我们对物理的看法,这一科学出版物甚至成为了历史上引用最多的文献之一。 3. 力与我们同行。 - 描述:为了联系运动的原因与运动本身,有必要通过共同的分母参数化力量,即能量。这个桥梁是从牛顿的苹果到真实结构的关键,因此这一周构成了一个重要的过渡阶段。 4. 力的光明面。 - 描述:某些运动发生在保守域中,意味着它们以“完美”的方式振荡、轨道与循环,这由势能轨迹表示。实际上,大多数结构初步分析都是这样进行的,因此可以用真实模式来逼近任何结构运动,误差仅约为1%。 5. 综合评估 - 描述:待定。

课程大纲

Name:Dynamics?

Description:Let's get together to the roots of physics. In the beginning, it was dynamics. And dynamics originates all the trunk of the tree of physics. That's the reason why we now analyze the principle of equivalence which allows passing from statics to dynamics.

Name:Newton!

Description:Shock and vibration, the heart of dynamics. To fulfill this ambitious program let's dive together into Newton's apple. And let's discover that actually, this free-fall system has revolutionized our vision of physics. So much so this single scientific publication is probably the most cited in the history of science.

Name:The force is with us.

Description:To link the cause of motion and motions themselves, it is necessary to parameterize the forces by common denominators i.e. the energies. This bridge is essential to pass from Newton's apple to the real structures. Thus this week constitutes a fundamental transition.

Name:The light side of the force.

Description:Some motions occur in the conservative domain, which means that they oscillate, orbit, and circulate in a "perfect" way which is represented by the rails of potential energy. In fact, most of the structures work this way in a first approach. And that's the reason why structural analysis is possible with real modes to represent any structural motion with an excellent approximation (~1%).

Name:General assessment

Description:

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课程详情

A course with variable geometry where everyone, we hope, will find personal benefits. The parts can be studied sequentially or independently; and inside each part, elementary learning items can be picked up. Globally, this course proposes a deep knowledge of fundamental dynamics, with possible explicit and implicit applications in structural dynamics, but also in physics and control of any dynamic system (automatics, …). The concepts of static, dynamic, and thermodynamic approaches are defined, followed by the analytical Newtonian foundations of discrete (digital) dynamics. Dynamics is not simply an extension of statics, but another modeling with open possibilities. The basic theorems (Newton‘s equivalence principle, König’ s theorems, conservations) are detailed in the perspective of structural applications. This course opens perspectives towards not only the general dynamics of structures but also towards robotics and control of dynamic systems. These concepts will be learned in a second course (Developments of structural dynamics).

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