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相关概念视频

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

123
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
123
Electric Field of Parallel Conducting Plates01:16

Electric Field of Parallel Conducting Plates

866
Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric...
866
Mesh Analysis01:20

Mesh Analysis

543
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
543
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

1.2K
Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
1.2K
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

515
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
515
Kirchhoff's Current Law01:04

Kirchhoff's Current Law

949
In the realm of electrical engineering, physicist Gustav Robert Kirchhoff made a significant contribution in 1847 by introducing Kirchhoff's laws for electric circuit analysis. These laws, particularly Kirchhoff's Current Law (KCL), have become foundational principles in understanding and analyzing electrical circuits.
Kirchhoff's Current Law is based on the principle of charge conservation. It states that at any node (a point where two or more circuit elements meet) in an...
949

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[Hemodynamic effects of synchronous and asynchronous independent lung ventilation with different levels of positive end-expiratory pressure and tidal volumes on unilateral lung injury in dogs].

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相关实验视频

Updated: May 28, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
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Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

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对于周期基尔霍夫板的双尺度收分析和数值模拟.

Zhiwei Huang1,2, Xiaomiao Zeng1, Chen Wang1

  • 1AVIC General Huanan Aircraft Industry Co. Ltd., Zhuhai 519040, China.

Heliyon
|February 11, 2025
PubMed
概括

这项研究引入了一种用于周期性薄板的新型两级非对称分析,克服了非对称均质化方法 (AHM) 在曲方面的局限性. 数字实验证实了该方法的方法.

科学领域:

  • 固体力学 固体力学是什么
  • 计算力学 计算力学 计算力学
  • 材料科学 材料科学 材料科学

背景情况:

  • 对于周期结构,均质化方法是有效的.
  • 非对称均质化方法 (AHM) 对周期板在曲方面存在局限性.
  • 现有的方法在曲方向的减少周期性方面扎.

研究的目的:

  • 开发一种用于周期性薄板曲的双尺度非对称分析技术.
  • 适应曲折变形的板结构的均质化方法.
  • 为了解决AHM在分析周期性板曲方面的局限性.

主要方法:

  • 应用了一种两级非对称分析技术.
  • 利用Kirchhoff板理论,忽视了沿厚度的正常变异.
  • 将3D问题转换为由具有周期系数的第四阶PDE控制的2D问题.
  • 使用拉克斯-米尔格拉姆定理验证了正确位置.
  • 通过两个尺度的融合证明了AHM解决方案的合理性.

主要成果:

  • 开发了一种新的同质化方法,用于曲时的周期性薄板.
  • 数学验证了拟议方法的正确性和准确性.
关键词:
非对称的分析分析.基尔霍夫板是基尔霍夫板的一种.部分微分方程部分微分方程.定期定期的 定期的两个尺度的收方法.

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  • 通过数值实验证明了该方法的可用性和精度.
  • 成功地适应了对板曲问题的同质化.

    • 结论:

    • 拟议的双尺度非对称分析对于同质化周期基尔霍夫盘是有效的.
    • 该方法克服了传统AHM在曲场景中的局限性.
    • 数字结果验证了开发技术的准确性和适用性.