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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.
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Fiber-reinforced concrete significantly enhances the structural and nonstructural properties of traditional concrete by incorporating fibers like steel, glass, and polymers. These fibers, varying from natural ones such as sisal and cellulose to manufactured ones like polypropylene and Kevlar, are mixed into hydraulic cement with aggregates. Steel fibers, often preferred for their robustness, contribute to improved ductility, toughness, and post-cracking performance. The concrete is classified...
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Frames are essential components of various mechanical and structural systems used daily. These structures are known for their stability and ability to bear heavy loads. A frame is constructed using two-force and multi-force members, interconnected using pin joints. In contrast, trusses are made entirely of two-force members.
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Rigid Finite Element Method in Modeling Composite Steel-Polymer Concrete Machine Tool Frames.

Paweł Dunaj1, Krzysztof Marchelek1, Stefan Berczyński1

  • 1Department of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology, 71-310 Szczecin, Poland.

Materials (Basel, Switzerland)
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Summary

This study introduces a low-dimensional model for analyzing machine tool frames, offering faster calculations with high accuracy. The rigid finite elements method (RigFEM) effectively predicts dynamic properties, reducing computational time significantly.

Keywords:
compositemachine toolmultibody systemrigid finite element methodsteel-polymer concrete

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Computational Mechanics

Background:

  • Designing machine tools requires analyzing numerous structural solutions for optimal dynamic properties, particularly chatter resistance.
  • Low-dimensional models are preferred for reduced calculation time while maintaining accuracy.

Purpose of the Study:

  • To present a methodology for modeling the dynamic properties of polymer concrete-filled steel frames using low-dimensional models.
  • To validate the accuracy and dimensionality of these models against experimental data and traditional finite element models.

Main Methods:

  • Development of low-dimensional models using the rigid finite elements method (RigFEM) for steel beams and frames filled with polymer concrete.
  • Comparison of RigFEM model results (natural frequencies, mode shapes, receptance functions) with experimental data and 1D/3D finite element models (FEM).

Main Results:

  • Experimental verification confirmed structural compliance of RigFEM models, with good agreement in mode shapes.
  • RigFEM models demonstrated high accuracy, with relative errors for natural frequencies below 4% (beam) and 11% (frame).
  • RigFEM models achieved significant dimensionality reduction (95% for beam, 99.8% for frame) compared to FEM, albeit with slightly lower accuracy.

Conclusions:

  • RigFEM provides an effective approach for modeling the dynamic behavior of polymer concrete-filled steel machine tool frames.
  • The method offers a substantial reduction in computational resources, making it suitable for design optimization.
  • The trade-off between accuracy and dimensionality reduction is acceptable for practical engineering applications.