Study on Analysis Principle of Spatial System Method for a Hydraulic Steel Gate
Abstract
:1. Introduction
2. Gate Structure Composition and Research Method
3. Analysis Principle of SSM for Gate Structure
3.1. Authenticity of Geometric Modeling
3.2. Appropriateness of Finite Element Type
3.3. Rationality of Finite Element Mesh Generation
3.4. Accuracy of Constraints and Loads
4. Analysis Principle of Beam Structure
4.1. Reasonable Finite Element Mesh Number of I-Beam
4.2. Reasonable Finite Element Mesh Number of Box Beam
5. Verification of Prototype Test
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Modeling Method | Gate structure Composition | Element Type | Advantage | Disadvantage |
---|---|---|---|---|
I | Panel structure | Shell element | Easy to build geometric model | Model is too simplified, the calculation accuracy is low, and the connection between different element types is complex. |
Beam structure | Beam element | |||
Arm structure | Beam element | |||
II | Panel structure, beam structure and arm structure | Beam element | Realistic gate geometry | Workload of geometric modeling and mesh generation is large, which cannot truly reflect the mechanical response of the gate. |
III | Panel structure, beam structure and arm structure | Shell element | Truly presents the geometric structure of the gate and truly reflects the mechanical response of the gate. | Workload of geometric modeling is relatively large |
Number | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
Section | I-beam | |||||
Constraint | Simply supported at both ends | |||||
Beam length (m) | 10 | 12 | 14 | 16 | 18 | 20 |
Lower flange width (m) | 0.80 | 0.90 | 1.00 | 1.20 | 1.35 | 1.40 |
Thickness of lower flange (m) | 0.032 | 0.032 | 0.032 | 0.034 | 0.036 | 0.036 |
Upper flange width (m) | 0.80 | 0.90 | 1.00 | 1.20 | 1.35 | 1.40 |
Thickness of upper flange (m) | 0.032 | 0.032 | 0.032 | 0.034 | 0.036 | 0.036 |
Web height (m) | 1.00 | 1.20 | 1.40 | 1.50 | 1.60 | 1.80 |
Web thickness (m) | 0.032 | 0.032 | 0.032 | 0.034 | 0.036 | 0.036 |
Midspan deflection (m) | 0.027 | 0.033 | 0.040 | 0.048 | 0.057 | 0.065 |
Midspan normal stress (MPa) | 264.4 | 275.1 | 283.4 | 276.0 | 277.1 | 287.5 |
Midspan bending moment (kN·m) | 7500 | 10,800 | 14,700 | 19,200 | 24,300 | 30,000 |
Number | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
Section | Box beam | |||||
Constraint | Simply supported at both ends | |||||
Beam length (m) | 10 | 12 | 14 | 16 | 18 | 20 |
Section width of box beam (m) | 1.00 | 1.15 | 1.25 | 1.40 | 1.55 | 1.70 |
Section height of box girder (m) | 0.80 | 0.95 | 1.05 | 1.20 | 1.35 | 1.50 |
Wall thickness of upper flange (m) | 0.032 | 0.032 | 0.036 | 0.036 | 0.036 | 0.036 |
Wall thickness of lower flange (m) | 0.032 | 0.032 | 0.036 | 0.036 | 0.036 | 0.036 |
Wall thickness of front flange (m) | 0.032 | 0.032 | 0.036 | 0.036 | 0.036 | 0.036 |
Wall thickness of rear flange (m) | 0.032 | 0.032 | 0.036 | 0.036 | 0.036 | 0.036 |
Midspan deflection (m) | 0.033 | 0.041 | 0.051 | 0.058 | 0.066 | 0.073 |
Midspan normal stress (MPa) | 259.3 | 266.9 | 268.4 | 269.4 | 270.2 | 270.9 |
Texture of material | Q235B |
Yield strength (MPa) | 235 |
Resistance of strain gauge | 120 Ω |
Uncertainty of instrument (με) | <5% ± 3 |
Elastic modulus (GPa) | 206 |
Model of strain gauge | WFLA-6-11 |
Treatment method of gate surface | Grinding and polishing |
Instrument resolution (με) | 1 |
Poisson’s ratio | 0.28 |
Installation method of strain gauge | Paste |
Instrument model | DH5908L |
Frequency of data acquisition (Hz) | 200 |
Number | Position | Analysis Method | Flow Direction (mm) | Vertical Direction (mm) | Lateral (mm) | Illustration |
---|---|---|---|---|---|---|
1 | Middle main beam | SSM | 1.88 | 0.314 | 0.082 | Figure 11 |
Prototype test | 1.30 | 0.80 | 0 | |||
2 | Main longitudinal beam | SSM | 1.56 | 0.16 | 0.35 | Figure 12 |
Prototype test | 1.50 | 0.60 | −0.4 | |||
3 | Secondary longitudinal beam | SSM | 1.88 | 0.31 | 0.35 | Figure 13 |
Prototype test | 1.60 | 1.10 | 0 | |||
4 | Panel | SSM | 2.47 | 0.74 | 0.048 | Figure 14 |
Prototype test | 1.80 | 0.70 | −0.10 | |||
5 | Arm | SSM | 1.38 | 0.63 | 1.03 | Figure 15 |
Prototype test | 1.00 | 0.90 | 0.70 |
Number | Position | Stress | Results of Prototype Tests (MPa) | Results of SSM (MPa) |
---|---|---|---|---|
1 | Web structure of longitudinal beam | Vertical direction | 4.68 | 4.53 |
2 | Flange structure of longitudinal beam | Vertical direction | −19.35 | −20.60 |
3 | Connecting flange of lower arm and main beam | Arm direction | −53.55 | −54.70 |
4 | Web structure of lower main beam | Horizontal direction | −6.43 | −7.20 |
5 | Panel structure | Horizontal direction | 38.10 | 34.60 |
6 | Arm structure | Arm direction | −65.60 | −59.10 |
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Zhang, X.; Lou, S.; Chen, L.; Wang, Z.; Zhang, F. Study on Analysis Principle of Spatial System Method for a Hydraulic Steel Gate. Sustainability 2022, 14, 14804. https://doi.org/10.3390/su142214804
Zhang X, Lou S, Chen L, Wang Z, Zhang F. Study on Analysis Principle of Spatial System Method for a Hydraulic Steel Gate. Sustainability. 2022; 14(22):14804. https://doi.org/10.3390/su142214804
Chicago/Turabian StyleZhang, Xuecai, Senyuan Lou, Liye Chen, Zhengzhong Wang, and Fufu Zhang. 2022. "Study on Analysis Principle of Spatial System Method for a Hydraulic Steel Gate" Sustainability 14, no. 22: 14804. https://doi.org/10.3390/su142214804