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Related Concept Videos

Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

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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...
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Deflection of a Beam01:19

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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...
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Prismatic Beams: Problem Solving01:15

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In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
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Beams01:30

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Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
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Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
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Shear on the Horizontal Face of a Beam Element01:16

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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...
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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
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Flat-Top Line-Shaped Beam Shaping and System Design.

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  • 1College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, China.

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|June 10, 2022
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Summary

Researchers improved selective laser sintering scanning efficiency by transforming a circular laser beam into a rectangular flat-top beam. This beam shaping enhances scanning performance and energy uniformity for additive manufacturing applications.

Keywords:
dynamic focusflat-top line beamselective laser sintering

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Area of Science:

  • Optics and Photonics
  • Additive Manufacturing

Background:

  • Selective laser sintering (SLS) systems traditionally use Gaussian laser beams.
  • Gaussian beams lead to inefficient scanning due to non-uniform energy distribution.
  • Improving beam quality is crucial for enhancing SLS process efficiency and part quality.

Purpose of the Study:

  • To reshape a circular Gaussian laser beam into a rectangular flat-top beam.
  • To enhance the scanning efficiency of selective laser sintering systems.
  • To analyze the energy uniformity and focusing characteristics of the shaped beam.

Main Methods:

  • Utilized a 200 W CO2 laser (10.6 μm wavelength) with a 9 mm initial spot diameter.
  • Employed optical design software (ZEMAX) to optimize aspherical cylindrical and focusing lens systems.
  • Calculated mapping functions and flat-top Lorentzian functions for beam transformation.
  • Evaluated energy uniformity at varying distances (500-535 mm) and analyzed zoom displacement.

Main Results:

  • Successfully shaped the laser beam into a 0.5 × 0.1 mm rectangular flat-top spot.
  • Achieved energy uniformity greater than 80% across the specified working distances.
  • Identified the critical need for precise Y-direction cylindrical lens displacement for accurate zooming.

Conclusions:

  • The developed beam shaping technique significantly improves laser beam quality for SLS.
  • The rectangular flat-top beam enhances scanning efficiency and energy distribution in additive manufacturing.
  • Precise optical system control is essential for maintaining beam quality and achieving desired focusing.