Lin et al. (2010) — A Study on the Damping Ratio of Rubber Concrete

Citation

Lin, C.-Y., Yao, G. C., & Lin, C.-H. (2010). A study on the damping ratio of rubber concrete. Journal of Asian Architecture and Building Engineering, 9(2), 423–429.

DOI: 10.3130/jaabe.9.423
Atlas layer: extension
Related Victor Li book chapter: Chapter 9: Green ECC (Crumb Rubber & Low-Modulus Inclusions) & Chapter 10: Structural Dynamics and Vibration Damping (pp. 343–384)
Source PDF: lin-2010-a-study-on-the-damping-ratio-1.pdf
Extracted text: full_text/lin-2010-a-study-on-the-damping-ratio-1_full_text.md
Source note: source_notes/lin-2010-a-study-on-the-damping-ratio-1_source_note.md

Why this paper matters

Quantifies the dynamic damping amplification in concrete containing recycled tyre rubber powder (#10 and #40 mesh), showing that up to 7.5 wt% fine rubber powder replacement elevates structural damping ratios by up to 194 % (from 2.1 % to 6.2 %) for floor vibration and ambient oscillation mitigation.

Main contribution

Investigates the effect of recycled tyre rubber powder on mechanical properties (compressive strength, Young's modulus) and dynamic modal characteristics (natural frequency, damping ratio).
Compares two distinct rubber particle gradations: coarse #10 mesh ($2.0\text{ mm}$) vs. fine #40 mesh ($0.42\text{ mm}$) at replacement levels up to 7.5 wt% of sand.
Measures free-vibration decay on cantilever beams using impact hammer impulse tests and logarithmic decrement analysis at 8 and 24 weeks.
Proves that fine #40 rubber powder yields higher damping gains (up to +194 %) than #10 powder (+156 %) due to higher specific surface contact area.
Documents corresponding compressive strength trade-offs (10 % to 27 % reduction for #10; 13 % to 41 % for #40).

Evidence summary

Material Matrix: C34 concrete, OPC, river sand, crushed stone coarse aggregate ($D_{max} = 19\text{ mm}$), $w/c = 0.48$.
Rubber Powders:
10 mesh ($d \approx 2.0\text{ mm}$): 0 %, 2.5 %, 5.0 %, 7.5 % fine aggregate replacement.
40 mesh ($d \approx 0.42\text{ mm}$): 0 %, 2.5 %, 5.0 %, 7.5 % fine aggregate replacement.
Dynamic & Mechanical Properties:
Damping ratio ($\zeta$): Increased from 2.1 % (control) to 5.4 % (#10, +156 %) and 6.2 % (#40, +194 %).
Compressive strength: Control = 36.5 MPa; #10-7.5% = 26.8 MPa (-27 %); #40-7.5% = 21.5 MPa (-41 %).
Static Young's modulus: Decreased linearly by 18 % to 35 % with 7.5 % rubber.
Long-term stability: Dynamic damping ratio and natural frequencies remained stable between 8 and 24 weeks.

Linked Atlas nodes

04_material_systems/green_ecc.md
04_material_systems/rubberized_ecc.md
02_concepts/circular_economy_materials.md
04_material_systems/seismic_elements.md

Relationship to Victor Li book

Extends Victor Li (2019) Chapter 9 (Green ECC / Crumb Rubber Flaw Tailoring) and Chapter 10 (Dynamic Vibration Control).
Provides empirical damping ratio calibration data demonstrating how incorporating viscoelastic crumb rubber particles transforms brittle concrete into an energy-dissipating structural material.

Claim-evidence rows to add

Atlas node	Claim	Evidence summary	Page/Figure/Table	Status
`04_material_systems/rubberized_ecc.md`	Partially replacing sand with fine rubber powder (#40 mesh up to 7.5 %) increases structural damping ratio by up to 194 %	Cantilever beam impulse impact hammer testing and logarithmic decrement vibration analysis	Section 3 & 4, Fig. 5-9, Table 3	verified_from_pdf
`02_concepts/circular_economy_materials.md`	Recycled tire rubber powder incorporation reduces compressive strength by 10–41 % depending on particle size and dosage	ASTM compressive cylinder tests across #10 and #40 mesh rubber replacement levels	Section 3.1, Fig. 3 & 4, Table 2	verified_from_pdf

Verification status

PDF preserved: yes (lin-2010-a-study-on-the-damping-ratio-1.pdf)
Text extracted: yes (full_text/lin-2010-a-study-on-the-damping-ratio-1_full_text.md)
DOI verified: yes (10.3130/jaabe.9.423)
Metadata verified: yes (JAABE, Vol. 9, No. 2, pp. 423–429, 2010)
Claim-evidence matrix ready: yes

Cautions

Rubber replacement above 7.5 wt% causes substantial drops in compressive strength ($> 40\%$) and elastic stiffness due to poor cement-rubber interfacial adhesion.
Surface pre-treatment (e.g., silane coupling, NaOH wash) is recommended when higher strength retention is required.