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Vibration characteristics analysis of two types of size effects on in-plane translational nanoplates
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Jing WANG1, 2, Yanglan YU1, 2, Huoming SHEN3, Yuxing WANG3, 4, Xiaojun DAI5
Journal of Vibration Engineering | 2025, 38(3) : 653 - 662
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Journal of Vibration Engineering | 2025, 38(3): 653-662
Vibration characteristics analysis of two types of size effects on in-plane translational nanoplates
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Jing WANG1, 2, Yanglan YU1, 2, Huoming SHEN3, Yuxing WANG3, 4, Xiaojun DAI5
Affiliations
  • 1.School of Mechanical Engineering，Southwest Petroleum University，Chengdu 610500，China
  • 2.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation，Southwest Petroleum University，Chengdu 610500，China
  • 3.School of Mechanics and Aerospace Engineering，Southwest Jiaotong University，Chengdu 611756，China
  • 4.School of Mechanical Engineering，Southwest Jiaotong University，Chengdu 611756，China
  • 5.School of Civil Engineering and Architecture，Southwest Petroleum University，Chengdu 610500，China
Published: 2025-03-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.03.023
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The transverse free vibration characteristics of a two-dimensional nanoplate with axial velocity are investigated based on the nonlocal strain gradient theory. The vibration control equations for the in-plane advection of the system are established according to the generalized Hamilton’s principle，and the intrinsic frequency of the nanoplate is derived by using complex modal analysis in the case of a four-ended simple support. The critical velocity of the system is determined by the equilibrium solution of the control equations，and the real and imaginary parts of the first-fourth-order modal functions are further analyzed for both the sub-critical and the supercritical velocities. The numerical results show that the scaling effect leads to a change in the self-oscillation frequency of the system at the micro- and nanoscale，and the nonlocal and strain gradient parameters have‘softening’ and‘hardening’ effects on the equivalent stiffness of the nanoplates，respectively，which affects the intrinsic frequency and the modal function of the nanoplates. This affects the intrinsic frequency and mode function of the nanoplates，and the higher order frequencies and vibration modes are more significantly affected by the size parameters.

nanoplates  /  nonlocal strain gradient theory  /  size effect  /  critical speed
Jing WANG, Yanglan YU, Huoming SHEN, Yuxing WANG, Xiaojun DAI. Vibration characteristics analysis of two types of size effects on in-plane translational nanoplates[J]. Journal of Vibration Engineering, 2025 , 38 (3) : 653 -662 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.03.023
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Year 2025 volume 38 Issue 3
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.03.023
  • Receive Date：2024-01-27
  • Online Date：2026-02-11
  • Published：2025-03-10
Article Data
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History
  • Received：2024-01-27
  • Revised：2024-04-08
Funding
Affiliations
    1.School of Mechanical Engineering，Southwest Petroleum University，Chengdu 610500，China
    2.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation，Southwest Petroleum University，Chengdu 610500，China
    3.School of Mechanics and Aerospace Engineering，Southwest Jiaotong University，Chengdu 611756，China
    4.School of Mechanical Engineering，Southwest Jiaotong University，Chengdu 611756，China
    5.School of Civil Engineering and Architecture，Southwest Petroleum University，Chengdu 610500，China
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Citations
表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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