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A simplified model for free vibration analysis of functionally graded plates based on higher-order shear deformation theory
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Zhuang-zhuang WANG, Teng WANG, Yan-mei DING, Lian-sheng MA
Journal of Vibration Engineering | 2024, 37(3) : 384 - 393
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Journal of Vibration Engineering | 2024, 37(3): 384-393
A simplified model for free vibration analysis of functionally graded plates based on higher-order shear deformation theory
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Zhuang-zhuang WANG, Teng WANG, Yan-mei DING, Lian-sheng MA
Affiliations
  • School of Architecture and Engineering，Weifang University of Science and Technology，Weifang 262700，China
Published: 2024-03-28 doi: 10.16385/j.cnki.issn.1004-4523.2024.03.003
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A simplified model for free vibration analysis of functionally graded plates is proposed based on higher-order shear deformation theory，the most significant feature of which is that it applies for the vibration analysis of functionally graded plates without any shear corrections. Compared with other shear deformation theories that contain more unknown variables，this model contains only one control equation，and thus greatly reduces the computational cost. Based on this simplified model，the free vibration of functionally graded rectangular plates with simple support boundary conditions is investigated and compared with other existing literature. The results show that the simplified model proposed in this paper is simple and accurate in solving the free vibration behavior of functional gradient plates. In addition，the effects of different gradient indices，aspect ratios，and length-thickness ratios on the free vibration behavior of functionally gradient plates are analytically discussed in the paper by several numerical arithmetic examples.

free vibration  /  functionally graded materials  /  simplified model  /  refined plate theory  /  natural frequency
Zhuang-zhuang WANG, Teng WANG, Yan-mei DING, Lian-sheng MA. A simplified model for free vibration analysis of functionally graded plates based on higher-order shear deformation theory[J]. Journal of Vibration Engineering, 2024 , 37 (3) : 384 -393 . DOI: 10.16385/j.cnki.issn.1004-4523.2024.03.003
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Year 2024 volume 37 Issue 3
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2024.03.003
  • Receive Date：2022-04-21
  • Online Date：2026-02-10
  • Published：2024-03-28
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  • Received：2022-04-21
  • Revised：2022-07-17
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    School of Architecture and Engineering，Weifang University of Science and Technology，Weifang 262700，China
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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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