A fast equivalent-isotropic-plate model for stiffened circular plates under pulse loading

JIAO Chongxi; ZHONG Wei; WANG Mu; MEI Xijie; QIU Xinming

doi:10.11883/bzycj-2023-0308

Volume 44 Issue 3

Mar. 2024

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Article Navigation > Explosion And Shock Waves > 2024 > 44(3): 031402

JIAO Chongxi, ZHONG Wei, WANG Mu, MEI Xijie, QIU Xinming. A fast equivalent-isotropic-plate model for stiffened circular plates under pulse loading[J]. Explosion And Shock Waves, 2024, 44(3): 031402. doi: 10.11883/bzycj-2023-0308

Citation:

JIAO Chongxi, ZHONG Wei, WANG Mu, MEI Xijie, QIU Xinming. A fast equivalent-isotropic-plate model for stiffened circular plates under pulse loading[J]. Explosion And Shock Waves, 2024, 44(3): 031402. doi: 10.11883/bzycj-2023-0308

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A fast equivalent-isotropic-plate model for stiffened circular plates under pulse loading

doi: 10.11883/bzycj-2023-0308

JIAO Chongxi^1
,,
ZHONG Wei^{2, 3},
WANG Mu^{1, 4},
MEI Xijie¹,
QIU Xinming^{1
,
,}

1.
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
2.
National Key Laboratory of Intense Pulsed Radiation Simulation and Effect, Xi’an 710024, Shaanxi, China
3.
Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi, China
4.
Naval Petty Officer Academy, Naval University of Engineering, Bengbu 233012, Anhui, China

Received Date: 2023-08-25
Rev Recd Date: 2023-11-15

Available Online: 2023-12-03

Publish Date: 2024-03-14

Abstract

Abstract

Stiffened panels are widely used in the explosion and impact protection, thus a fast and accurate method for solving their dynamic response is highly desired in engineering. Based on the idea of stiffness superposition, a novel equivalent-isotropic-plate method is proposed in this paper to convert the radial and uniformly stiffened circular plate into an isotropic flat plate, so as to analyze its dynamic response in the elastic stage under uniform pulse loading. Since obtaining the dynamic response of an isotropic plate is mature and convenient, the equivalent analysis can overcome the computational difficulty of anisotropy in direct modeling, thus greatly improving the solving efficiency. Through the linear superposition of the plate and stiffener dynamic equations, a concise formula of the equivalent plate thickness is derived explicitly. The equivalent parameter in the formula is obtained with the assistance of simulation and numerical fitting, which directly measures the strengthening effect of the stiffeners on the plate. Employing the equivalent-isotropic-plate model, the overall dynamic response of a stiffened circular plate can be represented by that of an equivalent isotropic plate with acceptable accuracy, especially for low-order vibrations and center deflections. It is verified that the equivalent method can be successfully applied to a variety of stiffening types, materials, and load forms. The deviation of the maximum deflection response of the equivalent flat plate from that of the original stiffened circular plate does not exceed 6%, and the deviation of the response frequency does not exceed 10%. This completely meets the engineering requirements. The equivalent-isotropic-plate model verifies the feasibility of isotropic equivalence, and reveals the intrinsic connection between the radial stiffened circular plate and the homogeneous circular plate, which is of great significance in engineering applications such as response prediction and structural optimization.
- stiffened plate,
- circular plate,
- dynamic response analysis,
- equivalent method,
- pulse loading

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References(18)

References

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