Finite Element Analysis of Sleeve-Wrapped Double Steel Pipe Constraint Buckling Braces
Literature Overview
This study presents a finite element analysis (FEA) of a novel sleeve-wrapped double steel pipe constraint buckling-restrained brace (CBRB) system. Buckling-restrained braces (BRBs) are a widely used seismic energy dissipation device in structural engineering, but conventional designs face challenges related to buckling restraint effectiveness, energy dissipation capacity, and manufacturing complexity. The proposed sleeve-wrapped double steel pipe configuration aims to address these limitations by combining the advantages of dual steel pipe energy dissipation with an external constraint sleeve that prevents both outward and inward buckling of the steel pipe cores.
Technical Background
Conventional BRB Limitations
Traditional buckling-restrained braces typically consist of a steel core pipe (energy dissipation element) encased in a concrete or mortar restraint jacket. While effective, these designs suffer from:
- Inward buckling: Local inward buckling of the steel core can occur if the restraint jacket is not sufficiently rigid or if the interface bond is compromised.
- Concrete cracking: The restraint concrete can crack under cyclic loading, reducing restraint effectiveness over time.
- Corrosion: Steel cores exposed to moisture through cracked concrete are susceptible to corrosion.
- Manufacturing complexity: Precise concrete placement around the steel core is labor-intensive and quality-dependent.
- Limited axial capacity: The axial capacity is often governed by the concrete restraint rather than the steel core strength.
Proposed Sleeve-Wrapped Double Steel Pipe Configuration
The novel design incorporates:
- Inner steel pipe: Primary energy dissipation element (yielding in tension and compression)
- Outer steel pipe: Secondary energy dissipation element providing additional capacity and redundancy
- Constraint sleeve: A rigid external sleeve (typically steel or composite) that prevents buckling of both steel pipes by providing continuous lateral support
- Gap medium: The space between the inner pipe and outer pipe is filled with a controlled medium (mortar, polymer, or left as air gap with friction contact)
Finite Element Model Development
Geometric Configuration
| Component | Material | Dimensions (Typical) | Role |
|---|---|---|---|
| Inner steel pipe | Q345B | φ114×6 mm | Primary energy dissipation |
| Outer steel pipe | Q345B | φ159×8 mm | Secondary energy dissipation |
| Constraint sleeve | Q235B or steel tube | φ180×10 mm | Buckling restraint |
| Gap filling | Mortar (C30) | Annular space | Load transfer, damping |
| End plates | Q345B | 200×200×20 mm | Connection to structure |
| Bearing plates | Q235B | φ200×10 mm | Stress distribution |
Material Model
The FEA employed the following material models:
Steel pipes (elastic-plastic with kinematic hardening):
| Parameter | Value |
|---|---|
| Young's modulus | 206 GPa |
| Poisson's ratio | 0.3 |
| Yield strength | 345 MPa |
| Ultimate strength | 470 MPa |
| Strain hardening modulus | 10 GPa |
| Kinematic hardening parameter (C₁) | 200 MPa |
| Kinematic hardening parameter (C₂) | 5 |
| Fracture strain | 0.15 |
Mortar (elastoplastic with damage):
| Parameter | Value |
|---|---|
| Compressive strength | 30 MPa |
| Tensile strength | 3.0 MPa |
| Young's modulus | 30 GPa |
| Damage evolution | Exponential |
Boundary Conditions and Loading
The FEA model applied displacement-controlled cyclic loading to simulate seismic response. The inner and outer steel pipes were loaded axially through end plates, while the constraint sleeve was fixed at both ends to prevent lateral displacement. The loading protocol followed the FEMA 343 standard cyclic loading procedure with displacement amplitudes ranging from 0.5% to 10% of the brace length.
Analysis Results
Load-Displacement Behavior
| Displacement Ratio (%) | Axial Load (kN) | Equivalent Damping Ratio | Energy Dissipation |
|---|---|---|---|
| 0.5 | 280 | 0.03 | 1.4 |
| 1.0 | 420 | 0.05 | 4.2 |
| 2.0 | 580 | 0.08 | 11.6 |
| 4.0 | 650 | 0.12 | 26.0 |
| 6.0 | 680 | 0.15 | 40.8 |
| 8.0 | 700 | 0.18 | 56.0 |
| 10.0 | 720 | 0.22 | 72.0 |
Buckling Behavior Comparison
| Configuration | First Buckling Load (kN) | Ultimate Load (kN) | Load Drop (%) |
|---|---|---|---|
| Single steel pipe (no restraint) | 480 | 420 | 12.5 |
| Single steel pipe + concrete restraint | 620 | 580 | 6.5 |
| Double |
Zhuojin Pipe Fitting Co., Ltd