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When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
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When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
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In power systems, the entire setup is divided into protective zones to isolate faults and protect the rest of the network. These zones include generators, transformers, buses, transmission lines, distribution lines, and motors. Each zone can be visualized as a separate room in a house, with each room protected by its own circuit breaker.
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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.
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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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In warehouse roofing applications, corrugated or curved metal sheets are commonly used to improve structural strength, water drainage, and ventilation efficiency. To accurately estimate material requirements and optimize design parameters, engineers must determine the curved surface area of these sheets. Because the sheet profiles often repeat smoothly along their length, they can be effectively approximated by parabolic curves, enabling the use of numerical integration techniques for area...
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以斐波那契为基础的区域板的聚焦性能

Adrián Garmendía-Martínez1, Francisco M Muñoz Pérez1, Juan C Castro Palacio1

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概括

我们介绍了斐波那契基区域板 (FTZPs),这是一个新的光学元素,具有透明和不透明矩形的准周期图案. 这些自由贸易区为先进的光学应用提供了独特的衍射性能.

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科学领域:

  • 光学和光子学 在光学和光子学.
  • 衍射光学 衍射光学是一种光学.
  • 准周期结构 准周期结构

背景情况:

  • 传统的斐波纳契区板使用同心环进行光学操纵.
  • 准周期结构提供了独特的波浪正面塑造能力.
  • 二进制数组可以定义复杂的传递率函数.

研究的目的:

  • 介绍和描述基于斐波纳契的区域板 (FTZPs).
  • 探索FTZP的光学特性,用于基于衍射的应用.
  • 通过模拟和实验来研究自由贸易区的性能.

主要方法:

  • 使用互补替换规则生成一个斐波那契二进制数组.
  • 定义基于准周期数组的传导率函数.
  • 数字模拟用于分析强度分布和衍射模式.
  • 实验测量以验证模拟结果.

主要成果:

  • 自由贸易区具有独特的透明和不透明矩形图案,与传统的基于环的区域板不同.
  • 准周期结构影响了衍射特征.
  • 模拟和实验证实了预测的强度分布和衍射模式.

结论:

  • FTZP 代表了一种具有独特衍射性能的新型光学元件类.
  • 矩形,准周期的设计为特定的衍射应用提供了优势.
  • 进一步的研究可以探索FTZP技术的先进应用.