Simulation Research on Static and Quasi-static Performance of ‘Double ang, Five-step Column-head Dougong Bracket’ from the Memorial Hall of Confucius in Ming Dynasty

Abstract

The static and cyclic structural behavior of the column-head Dougong bracket from the Memorial Hall of Confucius (Ming Dynasty, Shandong Province, China) was investigated using finite element analysis (FEA). An ANSYS model was developed based on the orthotropic constitutive law of Pinus sylvestris integrated with the Hill yield criterion. The bracket was subjected to vertical monotonic static loading (Z-axis) and horizontal low-cycle reciprocating loading (X- and Y-axes). Under vertical loading, the ultimate bearing capacity was 348.97 kN, with a peak stress of 13.21 MPa at the Huagong-Ludou interface. Under horizontal loading, symmetric hysteresis loops were observed, with peak thrusts of 394.52 kN (Y-axis) and 748.19 kN (X-axis). Ductility coefficients were 2.55 (Y) and 2.53 (X), and equivalent viscous damping coefficients were 0.123 (Y) and 0.104 (X). The vertical response followed a tri-linear stiffness degradation model, while multi-linear restoring force models characterized the horizontal behavior. These results provide a triaxial mechanical database for this high-grade Ming bracket, clarify the load-transfer path within the double-ang system, and offer practical restoring force models for heritage conservation. The study confirms that FEA is a reliable and cost-effective approach for assessing Dougong mechanics, supporting evidence-based preservation of historical timber structures.