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Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
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The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
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Life on Earth is carbon-based, as all macromolecules that make up living organisms contain carbon atoms. All organic compounds have a carbon backbone. Each carbon atom is tetravalent and can bond with four other atoms, making it an extraordinarily flexible component of biological molecules. Because carbon’s valence electrons are stable, it rarely becomes an ion. As the carbon chain increases in length, structural modifications such as ring structures, double bonds, and branching side...
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Enhanced kernel search algorithm for optimizing local search capability and its application to carbon fiber draft

Ruyi Dong1, Ran Cui1, Zhennao Cai2

  • 1College of Information and Control Engineering, Jilin University of Chemical Technology, Jilin, China.

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|November 26, 2025
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Summary
This summary is machine-generated.

A new Large Local Search Kernel Search Optimization (LLSKSO) algorithm improves local search accuracy. LLSKSO enhances optimization performance and shows superior results in benchmark tests and engineering applications.

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Area of Science:

  • Optimization Algorithms
  • Computational Intelligence
  • Metaheuristics

Background:

  • Kernel Search Optimization (KSO) suffers from limited local search accuracy, hindering effective local optimization.
  • Existing optimization methods often struggle to balance local exploitation and global exploration.

Purpose of the Study:

  • To introduce a novel Large Local Search Kernel Search Optimization (LLSKSO) algorithm.
  • To enhance the local search capability and overall performance of KSO.

Main Methods:

  • Homogenizing the initial population using the good point set mechanism.
  • Integrating the Dung Beetle Optimizer's (DBO) search mechanism to boost local search.
  • Employing Cauchy-Gaussian mutation to escape local optima and maintain a balance between local and global search.

Main Results:

  • LLSKSO demonstrated superior performance over 10 established algorithms across 50 benchmark functions.
  • The algorithm achieved better statistical results in mean, best, and variance.
  • LLSKSO achieved theoretical optima on 16 out of 20 high-dimensional functions, reducing CPU runtime by 30%.

Conclusions:

  • LLSKSO effectively enhances local optimization capabilities and achieves a dynamic balance between local and global search.
  • The algorithm shows significant improvements in engineering applications, such as carbon fiber drafting ratio optimization.
  • LLSKSO is a robust and efficient optimization algorithm suitable for complex engineering problems.