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Related Concept Videos

Applications of Stress01:04

Applications of Stress

855
Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
855
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

743
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
743
Components of Stress01:23

Components of Stress

674
Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and...
674
Stress Concentrations01:24

Stress Concentrations

834
Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller...
834
Stress Concentrations01:13

Stress Concentrations

813
The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress...
813
General State of Stress01:21

General State of Stress

917
The general state of stress within a material can be accurately depicted using a stress tensor. This tensor encapsulates the internal forces distributed within a material subjected to external forces or deformations.
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
917

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On the stress function-based OWA determination method with optimization criteria.

Xinwang Liu1, Shui Yu

  • 1School of Economics and Management, Southeast University, Nanjing 210096, China. xwliu@seu.edu.cn

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|August 10, 2011
PubMed
Summary
This summary is machine-generated.

This study enhances the ordered weighted averaging (OWA) method by introducing an optimization model. This new approach allows OWA operator elements to flexibly adopt the shape of a stress function, offering greater control and a special case of arithmetic averaging.

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Area of Science:

  • Decision Making
  • Fuzzy Logic
  • Optimization Theory

Background:

  • Yager's ordered weighted averaging (OWA) determination method uses a stress function to shape OWA operator elements.
  • Existing methods have limitations in flexibly controlling the distribution of OWA operator elements.

Purpose of the Study:

  • To extend Yager's OWA determination with stress function method using an optimization model.
  • To provide a parameterized way for OWA operator elements to adopt the shape of a given stress function.

Main Methods:

  • Developed an optimization model to transform OWA optimal solution elements into interpolation points of the stress function.
  • Extended the basic stress function method with scale and vertical shift transformations.
  • Explored properties of the optimization-based stress function method.

Main Results:

  • The proposed method allows OWA operator elements to distribute according to the shape of a specified stress function in a parameterized manner.
  • The method includes scale and vertical shift transformations for extended flexibility.
  • The arithmetic average operator is identified as a special case of the proposed method.

Conclusions:

  • The optimization-based stress function method provides a flexible and powerful extension to OWA determination.
  • This approach offers enhanced control over the distribution of OWA operator elements.
  • The method generalizes existing OWA techniques and offers a special case equivalent to the arithmetic average operator.