TY - JOUR
T1 - A decoupled SPH-FEM analysis of hydrodynamic wave pressure on hyperbolic-paraboloid thin-shell coastal armor and corresponding structural response
AU - Wu, Gaoyuan
AU - Garlock, Maria
AU - Wang, Shengzhe
N1 - Funding Information:
Funding for this research was partially sponsored by Princeton University through the “Project X” grant and the Metropolis Project of Princeton University.
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/10/1
Y1 - 2022/10/1
N2 - Kinetic Umbrella, an innovative thin-shell structural system, incorporating hyperbolic paraboloid (hypar) geometry, has been proposed for coastal hazard mitigation. Its feasibility against surge and wave loadings has been conceptually validated via a Hurricane Sandy case study. However, the typical hydrodynamic wave pressure on hypar geometries and the rationality of the previously conducted static structural analyses remain unknown. In response, this paper implements a decoupled numerical scheme consisting of smoothed particle hydrodynamics (SPH) and finite element modeling (FEM), investigating the hydrodynamic wave pressure and corresponding structural response via structural dynamic analyses. Furthermore, the accuracy of applying the hydrodynamic wave pressure predicted by the well accepted Goda's formula to the structural analysis of Kinetic Umbrellas is also evaluated. The results show that the hydrodynamic wave pressure on hypar follows a bilinear like shape along height and increases gradually from the edge of the hypar to the longitudinal spine. The hydrodynamic wave pressure difference between the edge and the longitudinal spine will be intensified by higher warping magnitude of hypar and under breaking waves. For structural response, the maximum displacement and the maximum tensile membrane force of the shell are significantly underestimated by static analyses with Goda's formula, implying the necessity of implementing the decoupled SPH-FEM scheme with structural dynamic analyses. For other critical demands, the difference is mostly smaller than 20%. The findings reinforce the idea that hypar thin shells are structurally feasible under surge and wave loadings, and ultimately facilitate the employment of hypar thin shells for coastal defense as a sustainable alternative to traditional coastal structures.
AB - Kinetic Umbrella, an innovative thin-shell structural system, incorporating hyperbolic paraboloid (hypar) geometry, has been proposed for coastal hazard mitigation. Its feasibility against surge and wave loadings has been conceptually validated via a Hurricane Sandy case study. However, the typical hydrodynamic wave pressure on hypar geometries and the rationality of the previously conducted static structural analyses remain unknown. In response, this paper implements a decoupled numerical scheme consisting of smoothed particle hydrodynamics (SPH) and finite element modeling (FEM), investigating the hydrodynamic wave pressure and corresponding structural response via structural dynamic analyses. Furthermore, the accuracy of applying the hydrodynamic wave pressure predicted by the well accepted Goda's formula to the structural analysis of Kinetic Umbrellas is also evaluated. The results show that the hydrodynamic wave pressure on hypar follows a bilinear like shape along height and increases gradually from the edge of the hypar to the longitudinal spine. The hydrodynamic wave pressure difference between the edge and the longitudinal spine will be intensified by higher warping magnitude of hypar and under breaking waves. For structural response, the maximum displacement and the maximum tensile membrane force of the shell are significantly underestimated by static analyses with Goda's formula, implying the necessity of implementing the decoupled SPH-FEM scheme with structural dynamic analyses. For other critical demands, the difference is mostly smaller than 20%. The findings reinforce the idea that hypar thin shells are structurally feasible under surge and wave loadings, and ultimately facilitate the employment of hypar thin shells for coastal defense as a sustainable alternative to traditional coastal structures.
KW - Finite element modeling (FEM)
KW - Goda wave pressure formulae
KW - Hyperbolic paraboloid (hypar)
KW - Kinetic Umbrellas
KW - Smoothed particle hydrodynamics (SPH)
KW - Thin shell
KW - Wave structure interaction (WSI)
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U2 - 10.1016/j.engstruct.2022.114738
DO - 10.1016/j.engstruct.2022.114738
M3 - Article
AN - SCOPUS:85135508584
SN - 0141-0296
VL - 268
JO - Engineering Structures
JF - Engineering Structures
M1 - 114738
ER -