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相关概念视频

Deflection of a Beam01:19

Deflection of a Beam

311
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
311
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

261
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
261
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

149
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
149
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

219
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
219
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

317
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
317

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相关实验视频

Updated: Jul 26, 2025

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
09:33

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Published on: June 7, 2019

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高度调节的级联元面用于连续的二维光束转向.

Lingyun Zhang1,2, Li Zhang1,2, Rongbo Xie1,2

  • 1Department of Precision Instrument, Tsinghua University, Beijing, 100084, China.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)
|June 20, 2023
PubMed
概括
此摘要是机器生成的。

研究人员开发了一种新的方法,用于动态光控制,使用带有较大的间隙的级联元表面. 这一突破使得用于像LiDAR和光通信等应用的精确的二维光束定向成为可能.

关键词:
灯束转向的方向盘.级联式的元表面.可调节的地表表面.

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相关实验视频

Last Updated: Jul 26, 2025

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09:33

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Published on: June 7, 2019

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科学领域:

  • 光学和光子学 在光学和光子学.
  • 地表表面技术的技术.

背景情况:

  • 级联元表面通过机械调节提供动态光操纵.
  • 目前的设计需要亚波长间隙,阻碍实际实施和远场操作.

研究的目的:

  • 为级联元表面提出一种新的设计范式,克服差距大小的限制.
  • 为了展示一个实用的,可调节的二维 (2D) 梁方向装置.

主要方法:

  • 采用射线追踪方案,以在可实现的间隙大小下实现最佳地表运行.
  • 设计了一个基于两个级联元面的横向转换的2D光束方向装置.
  • 通过模拟和1064nm的实验测量验证了设计.

主要成果:

  • 达到±45°的双轴偏斜角度,侧向转移±3.5mm.
  • 保持了低光分歧 (<0.007°).
  • 实验结果与理论预测密切匹配,具有统一的光学效率.

结论:

  • 拟议的通用设计范式使可调节的级联超表面设备成为可能.
  • 这种方法克服了与小差距大小相关的实际实施挑战.
  • 该技术有望用于LiDAR和自由空间光通信中的应用.