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Development of a Dimensionless SDOF Model and Prediction of Key Physical Quantities for Blast-Loaded Four-Corner-Clamped Rectangular Plates.

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Bibliographic Details
Title: Development of a Dimensionless SDOF Model and Prediction of Key Physical Quantities for Blast-Loaded Four-Corner-Clamped Rectangular Plates.
Authors: Chen, Xing1 (AUTHOR), Luo, Yu2 (AUTHOR) 1910263@tongji.edu.cn, Chen, Suwen3 (AUTHOR)
Source: Journal of Structural Engineering. Sep2026, Vol. 152 Issue 9, p1-17. 17p.
Subjects: Rectangular plates (Engineering), Stiffness (Mechanics), Structural dynamics, Numerical analysis, Finite element method, Impact response, Structural plates
Abstract: Four-corner-clamped (FCC) plates are used widely in civil, marine, and aerospace engineering. Quick evaluation of the dynamic response of FCC plates is critical for blast safety design. Although the traditional single-degree-of-freedom (SDOF) method offers an efficient approach, two major challenges remain in determining the SDOF parameters for FCC plates: (1) the lack of a simple shape function that accurately represents the boundary conditions of the plate, and (2) quantification of the effects of corner clamping joints on the vibration mode and local stress distribution of the plate. In this paper, a novel polynomial shape function was developed which can accurately describe the fundamental vibration mode of the ideal four-corner-point-supported (FCPS) plate, a simplified form of the FCC plate. The parameters of the shape function are solved numerically using the Dinkelbach method. Corresponding empirical formulas were established, incorporating variations in both Poisson's ratio and aspect ratio. Additionally, dimensionless rotational restraint stiffness was derived to characterize the local clamping effect for FCC plates, accounting for different clamping areas and gasket materials. The dimensionless rotational restraint stiffness was incorporated into empirical correction formulas to determine the dimensionless equivalent SDOF parameters and global maximum first principal stress for FCC plates. Compared with dynamic finite-element (FE) analysis, the SDOF model accurately predicts the central deflection of the panel and overestimates the global maximum first principal stress by 10%–20%. The proposed method is applicable to FCC plates with aspect ratios of 1–3 and Poisson's ratios of 0.2–0.4, covering a wide range of common plate geometries, clamping conditions, and engineering materials such as glass, concrete, and steel. The framework presented in this paper can be extended to plates with other corner clamping contours (e.g., diamond and circular) or analogous boundary conditions. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Four-corner-clamped (FCC) plates are used widely in civil, marine, and aerospace engineering. Quick evaluation of the dynamic response of FCC plates is critical for blast safety design. Although the traditional single-degree-of-freedom (SDOF) method offers an efficient approach, two major challenges remain in determining the SDOF parameters for FCC plates: (1) the lack of a simple shape function that accurately represents the boundary conditions of the plate, and (2) quantification of the effects of corner clamping joints on the vibration mode and local stress distribution of the plate. In this paper, a novel polynomial shape function was developed which can accurately describe the fundamental vibration mode of the ideal four-corner-point-supported (FCPS) plate, a simplified form of the FCC plate. The parameters of the shape function are solved numerically using the Dinkelbach method. Corresponding empirical formulas were established, incorporating variations in both Poisson's ratio and aspect ratio. Additionally, dimensionless rotational restraint stiffness was derived to characterize the local clamping effect for FCC plates, accounting for different clamping areas and gasket materials. The dimensionless rotational restraint stiffness was incorporated into empirical correction formulas to determine the dimensionless equivalent SDOF parameters and global maximum first principal stress for FCC plates. Compared with dynamic finite-element (FE) analysis, the SDOF model accurately predicts the central deflection of the panel and overestimates the global maximum first principal stress by 10%–20%. The proposed method is applicable to FCC plates with aspect ratios of 1–3 and Poisson's ratios of 0.2–0.4, covering a wide range of common plate geometries, clamping conditions, and engineering materials such as glass, concrete, and steel. The framework presented in this paper can be extended to plates with other corner clamping contours (e.g., diamond and circular) or analogous boundary conditions. [ABSTRACT FROM AUTHOR]
ISSN:07339445
DOI:10.1061/JSENDH.STENG-15937