Rigid Finite Element Method in Modeling Composite Steel-Polymer Concrete Machine Tool Frames
Abstract
:1. Introduction
2. Materials and Methods
2.1. Steel-Polymer Concrete Frame
2.2. Static Tests of Polymer Concrete
2.3. Dynamic Experimental Tests of the Basic Structural Component and Frame
2.4. Finite Element Modeling
3. Rigid Finite Element Modeling
3.1. Rigid Finite Element Model of the Basic Structural Component
3.2. Rigid Finite Element Model of the Steel-Polymer Concrete Body
3.3. Comparison of the Results of Model Calculations of the Basic Structural Component with the Results of the Experimental Tests
4. Discussion
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Component | Epoxy Resin | Ash | Fine Fraction (0.25–2 mm) | Medium Fraction (2–10 mm) | Coarse Fraction (8–16 mm) |
---|---|---|---|---|---|
Percentage share of component weight | 15% | 1% | 19% | 15% | 50% |
Parameter | Steel | Polymer Concrete |
---|---|---|
Young’s modulus E | 210 ± 5 GPa | 16.8 ± 0.2 GPa |
Poisson’s ratio ν | 0.28 ± 0.03 | 0.20 ± 0.05 |
Density ρ | 7487 ± 35 kg/m3 | 2118 ± 6 kg/m3 |
Parameter | Value |
---|---|
Sampling rate | 4096 Hz |
Frequency resolution | 0.5 Hz |
Signal acquisition time | 2 s |
Frequency response function estimator | H1 |
Number of averages | 10 |
Scaling of the frequency response function | global |
Parameter | Steel | Polymer Concrete |
---|---|---|
Loss factor | 0.00220 ± 0.00005 | - |
Equivalent loss factor | 0.00480 ± 0.00024 |
Mode Number | Experimental Results | RigFEM Results | Relative Error δRigFEM | 3D FEM Results | Relative Error δ3D-FEM | 1D FEM Results | Relative Error δ1D-FEM |
---|---|---|---|---|---|---|---|
1 | 247 Hz | 244 Hz | ~1% | 248 Hz | <1% | 243 Hz | <2% |
2 | 251 Hz | 245 Hz | ~2% | 248 Hz | ~1% | 243 Hz | <2% |
3 | 676 Hz | 664 Hz | ~2% | 685 Hz | ~1% | 650 Hz | ~4% |
4 | 678 Hz | 665 Hz | ~2% | 685Hz | ~1% | 650 Hz | <4% |
5 | 1276 Hz | 1224 Hz | ~4% | 1241 Hz | <3% | 1184 Hz | ~7% |
6 | 1282 Hz | 1275 Hz | <1% | 1326 Hz | ~3% | 1223 Hz | <5 |
7 | 1282 Hz | 1275 Hz | <1% | 1326 Hz | ~3% | 1223 Hz | <5 |
Mode Number | Experimental Results | RigFEM Results | Relative Error δRigFEM | FEM Results | Relative Error δFEM |
---|---|---|---|---|---|
1 | 431 Hz | 472 Hz | ~9% | 437 Hz | <1% |
2 | 791 Hz | 825 Hz | ~4% | 858 Hz | <9% |
3 | 928 Hz | 926 Hz | <1% | 936 Hz | <1% |
4 | 969 Hz | 934 HZ | ~4% | 957 Hz | ~1% |
5 | 1041 Hz | 1070 Hz | <3% | 1032 Hz | <1% |
6 | 1151 Hz | 1230 Hz | <7% | 1141 Hz | <1% |
7 | 1232 Hz | 1372 Hz | ~11% | 1195 Hz | ~3% |
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Dunaj, P.; Marchelek, K.; Berczyński, S.; Mizrak, B. Rigid Finite Element Method in Modeling Composite Steel-Polymer Concrete Machine Tool Frames. Materials 2020, 13, 3151. https://doi.org/10.3390/ma13143151
Dunaj P, Marchelek K, Berczyński S, Mizrak B. Rigid Finite Element Method in Modeling Composite Steel-Polymer Concrete Machine Tool Frames. Materials. 2020; 13(14):3151. https://doi.org/10.3390/ma13143151
Chicago/Turabian StyleDunaj, Paweł, Krzysztof Marchelek, Stefan Berczyński, and Berkay Mizrak. 2020. "Rigid Finite Element Method in Modeling Composite Steel-Polymer Concrete Machine Tool Frames" Materials 13, no. 14: 3151. https://doi.org/10.3390/ma13143151