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相关概念视频

Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

216
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...
216
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

142
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...
142
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

206
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...
206
Interference and Diffraction02:18

Interference and Diffraction

35.4K
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
35.4K
Deflection of a Beam01:19

Deflection of a Beam

293
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...
293
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

221
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by...
221

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扭曲的sinc-correlation 谢尔模型阵列束 扭曲的sinc-correlation 谢尔模型阵列束

Yujie Zhou, Miaomiao Tang, Hehe Li

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    |September 15, 2023
    PubMed
    概括
    此摘要是机器生成的。

    我们开发了新的扭曲Sinc相关性部分连贯数组源. 这些源表现出可控制的扭转和分裂现象,对光通信和粒子操纵有用.

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    科学领域:

    • 光学和光子学 在光学和光子学.
    • 量子光学是一种量子光学.

    背景情况:

    • 部分连贯的光源对于各种光学应用至关重要.
    • 了解复杂光场的传播动态是必不可少的.

    研究的目的:

    • 引入和分析一个新的类别的扭曲的Sinc-相关性部分连贯的数组源.
    • 研究这些新型光场的传播特征和空间演变.

    主要方法:

    • 应用相关函数的构造理论来设计源.
    • 在自由空间传播过程中分析光谱密度和强度分布.
    • 调查相关奇点和连贯轨道角动量的空间演变.

    主要成果:

    • 新型聚焦束表现出显著的扭曲效应和分裂现象.
    • 源参数允许灵活控制数组尺寸,强度和叶片分布.
    • 多重相关奇点在传播过程中显示了一个旋转螺旋式风车形状.
    • 扭曲源束的相干轨道角动量是特征性的.

    结论:

    • 开发的扭曲Sinc相关性部分连贯阵列源提供可调节的光学特性.
    • 这些源显示出在粒子操纵和自由空间光通信中的应用潜力.