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Related Concept Videos

Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

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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.
To compute the shear forces, find the shear flow at a specific distance from the endpoint using the vertical shear and the moment of inertia values. The total shear force on the flange is calculated by integrating the shear flow from one end of the flange to the other.
Next, calculate the moments of...
410
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

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Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
327
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

461
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...
461
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

496
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
496
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

349
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...
349
Shear and Bending Moment Diagram: Problem Solving01:24

Shear and Bending Moment Diagram: Problem Solving

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When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
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Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
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Isogeometric iFEM Analysis of Thin Shell Structures.

Adnan Kefal1,2,3, Erkan Oterkus4

  • 1Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla, Istanbul 34956, Turkey.

Sensors (Basel, Switzerland)
|May 14, 2020
PubMed
Summary

This study introduces an isogeometric inverse finite element method (iFEM) for accurate shape sensing in shell structures. The novel approach enhances safety and reliability in structural health monitoring using fewer sensors.

Keywords:
inverse finite element method (iFEM)isogeometric analysislinear/nonlinear deformationshape sensingstrain sensorsstructural health monitoringthin and curved shells

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Area of Science:

  • Engineering
  • Computational Mechanics
  • Structural Health Monitoring

Background:

  • Shape sensing is vital for structural health monitoring, improving safety and reliability of large structures.
  • The inverse finite element method (iFEM) reconstructs 3D displacements from surface strain measurements.
  • Isogeometric analysis (IGA) offers smooth functions (NURBS) for accurate geometric representation in engineering simulations.

Purpose of the Study:

  • To develop a novel isogeometric iFEM approach for precise shape sensing of thin and curved shell structures.
  • To leverage IGA's exact geometry and smooth basis functions with iFEM for improved shape sensing.
  • To reduce the number of required strain sensors while maintaining high accuracy.

Main Methods:

  • Coupling Non-Uniform Rational B-Splines (NURBS)-based IGA with the iFEM methodology.
  • Developing a rotation-free isogeometric inverse-shell element (iKLS) based on Kirchhoff-Love shell theory.
  • Minimizing a weighted-least-squares functional using membrane and bending strains.

Main Results:

  • The isogeometric iFEM approach accurately reconstructs the shapes of Scordelis-Lo roof, pinched hemisphere, and hyperbolic paraboloid structures.
  • Analysis demonstrates the method's high accuracy and practical applicability for both linear and nonlinear shape sensing.
  • The study examines the impact of sensor placement, quantity, and geometric discretization on solution precision.

Conclusions:

  • The proposed isogeometric iFEM method offers a robust and accurate solution for shape sensing in curved shell structures.
  • This approach enhances structural health monitoring by enabling precise displacement reconstruction with potentially fewer sensors.
  • The findings highlight the practical advantages of integrating IGA with iFEM for advanced engineering applications.