Instability Analysis of Rotating Convex and Concave Circular Nanoplate by Considering Surface Residual Stress

YANG Yongqiang; YANG Ping; ZHANG Xule

doi:10.13433/j.cnki.1003-8728.20220266

Volume 43 Issue 3

Mar. 2024

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Article Navigation > Mechanical Science and Technology for Aerospace Engineering > 2024 > 43(3): 409-415

YANG Yongqiang, YANG Ping, ZHANG Xule. Instability Analysis of Rotating Convex and Concave Circular Nanoplate by Considering Surface Residual Stress[J]. Mechanical Science and Technology for Aerospace Engineering, 2024, 43(3): 409-415. doi: 10.13433/j.cnki.1003-8728.20220266

Citation:

YANG Yongqiang, YANG Ping, ZHANG Xule. Instability Analysis of Rotating Convex and Concave Circular Nanoplate by Considering Surface Residual Stress[J]. Mechanical Science and Technology for Aerospace Engineering, 2024, 43(3): 409-415. doi: 10.13433/j.cnki.1003-8728.20220266

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Instability Analysis of Rotating Convex and Concave Circular Nanoplate by Considering Surface Residual Stress

doi: 10.13433/j.cnki.1003-8728.20220266

1.
College of Mechanical & Electrical Engineering, Shaanxi University of Science & Technology, Xi′an 710021, China
2.
School of Electronic Information and Artificial Intelligence, Shaanxi University of Science & Technology, Xi′an 710021, China

Received Date: 2022-02-17
Publish Date: 2024-03-25

Abstract

Abstract

Based on the theory of the surface residual stress of nanomaterials and small deflection of elastic plate, the transverse vibration differential equation of rotating convex-concave circular nanoplate was established. The variation of dimensionless complex frequency of convex-concave circular nanoplate with dimensionless angular speed and surface residual stress under different conditions was obtained by using the differential quadrature method. The results show that the first-order divergence instability of rotating convex-concave circular nanoplate was observed in both clamped and simply supported conditions. When other parameters are constant, the critical instability angular speed of the clamped concave circular nanoplate is smaller than that of the convex circular nanoplate, and the critical instability angular speed of the simply supported concave circular nanoplate is greater than that of the convex circular nanoplate. The critical instability angular speed increases with the increasing of surface residual stress, and the critical surface residual stress increases with the increasing of dimensionless angular speed.
- circular nanoplate,
- transverse vibration,
- surface residual stress,
- divergence instability

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References(22)

References

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