弹性地基上非对称多孔功能梯度材料夹层板的自由振动

摘要
图/表
参考文献(24)
相关文章 (15)

全文: PDF (1279 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要基于精细剪切变形理论研究了弹性地基上的非对称多孔功能梯度材料（FGM）夹层板的自由振动。结合该理论提出了一种新的非对称多孔FGM夹层板在弹性地基上的自由振动模型，且该模型只包含四个未知变量。控制方程是通过Hamilton原理建立的，并通过Navier法获得了其在四边简支下的固有频率。将模型退化为无弹性地基的非对称FGM夹层板以验证模型的准确性。最后详细讨论了参数变化对弹性地基上的非对称多孔FGM夹层板的自由振动行为的影响。研究发现，在不同的弹性系数下，非对称多孔FGM夹层板的固有频率会随着边厚比的增加而增加，而体积分数指数的增加对于不同弹性系数下的非对称多孔FGM夹层板的固有频率有不一样的变化。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	黄志诚1
	韩梦娜1
	王兴国1
	褚福磊2

关键词 ：多孔功能梯度材料, 夹层板, 弹性地基, 自由振动, 固有频率

Abstract：Based on the refine shear deformation theory, the free vibration of asymmetric porous functionally graded material(FGM) sandwich plates on elastic foundations is studied. A new free vibration model for asymmetric porous FGM sandwich plates on elastic foundations is proposed based on this theory, and the model only contains four unknown variables. The governing equation is established using the Hamilton’s principle and natural frequency of sandwich plate is obtained using the Navier method under four simple supports. The model is degraded into an asymmetric FGM sandwich plate on an inelastic foundation to verify the accuracy of the model. Finally, the influence of parameter changes on the free vibration behavior of asymmetric porous FGM sandwich plates on elastic foundations is discussed in detail. We have found that the natural frequency of asymmetric porous FGM sandwich plates increases with the increase of side-to-thickness ratio under different elastic coefficients, while its has different changes with the increase of volume fraction index under different elastic coefficients.

Key words： porous functionally graded materials Sandwich plate Elastic foundation Free vibration natural frequency

收稿日期: 2023-07-24 出版日期: 2024-05-28

引用本文:

黄志诚1，韩梦娜1，王兴国1，褚福磊2. 弹性地基上非对称多孔功能梯度材料夹层板的自由振动[J]. 振动与冲击, 2024, 43(10): 156-163.
HUANG Zhicheng1，HAN Mengna1，WANG Xingguo1，CHU Fulei2. Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(10): 156-163.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I10/156

[1] 王盛春,邓兆祥,沈卫东,王攀,曹友强. 四边简支条件下正交各向异性蜂窝夹层板的固有特性分析[J].振动与冲击,2012,31(9),73-77+89. WANG Sheng-chun, DENG Zhao-xiang, SHEN Wei-dong, WANG PAN, GAO You-qiang. Connatural characteristics analysis of rectangular orthotropic honeycomb sandwich panels with all edges simply supported [J]. JOURNAL OF VIBRATION AND SHOCK, 2012, 31(9), 73-77+89. [2] Zhu, R.Z., Zhang, X.N., Zhang, S.G., Dai, Q.Y., Qin, Z.Y.*, Chu, F.L. Modeling and topology optimization of cylindrical shells with partial CLD treatment. International Journal of Mechanical Sciences, 2022, 220(15): 107145. [3] 倪臻,李旦望,夏烨,周凯,华宏星.考虑弹性地基的正交双曲蜂窝夹层壳体自由振动分析[J].振动与冲击, 2022, 41(9): 1-8. NI Zhen, LI Danwang, XIA Ye, ZHOU Kai, HUA Hongxing. Free vibration of orthogonal doubly-curved honeycomb shell considering elastic foundation [J]. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(9): 1-8. [4] Gao, W.L., Liu, Y.F., Qin, Z.Y.*, Chu, F.L. Wave propagation in smart sandwich plates with functionally graded nanocomposite porous core and piezoelectric layers in multi-physics environment. International Journal of Applied Mechanics, 2022, 14 (7): 2250071. [5] Mohammed Sid Ahmed Houari, Samir Benyoucef, Ismail Mechab, Abdelouahed Tounsi, El Abbas Adda Bedia. Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates[J]. Journal of Thermal Stresses, 2011, 34: 315-334. [6] Hadj Henni ABDELAZIZ, Hassen Ait ATMANE, Ismail MECHAB, Lakhdar BOUMIA, Abdelouahed TOUNSI, Adda Bedia El ABBAS. Static analysis of functionally graded sandwich plates using an efficient and simple refined theory[J]. Chinese Journal of Aeronautics, 2011, 24: 434-448. [7] 孙丹,罗松南.四边固支功能梯度板中波的传播[J].振动与冲击,2011,30(4):244-247+275. SUN Dan, LUO Song-nan. Wave propagation in a rectangular functionally graded material plate with clamped supports [J]. JOURNAL OF VIBRATION AND SHOCK, 2011, 30(4): 244-247+275. [8] 吴晓,罗佑新.用Timoshenko梁修正理论研究功能梯度梁的动力响应[J].振动与冲击,2011,30(10):245-248. WU Xiao, LUO You-xin. Dynamic responses of a beam with functionally graded materials with Timoshenko beam correction theory [J]. JOURNAL OF VIBRATION AND SHOCK, 2011,30(10):245-248. [9] Jingchuan Zhu, Zhonghong Lai, Zhongda Yin, Jaeho Jeon, Sooyoung Lee. Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy[J]. Materials Chemistry and Physics, 2001,68:130-135. [10] 林鹏程,滕兆春.热冲击下的轴向运动FGM梁的自由振动[J].振动与冲击,2020,39(12):549-256. LIN Pengcheng, TENG Zhaochun. Free vibration analysis of axially moving FGM beams under thermal shock [J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(12): 549-256. [11] 蒲育,周凤玺.基于n阶GBT初始轴向载荷影响下的FGM梁的振动特性[J].振动与冲击,2020,39(2):100-106. PU Yu, ZHOU Fengxi. Vibration characteristics of FGM beams under the action of initial axial load based on a n-th generalized shear beam theory [J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(2): 100-106. [12] 周凤玺,蒲育.基于改进型GDQ法FGM纳米梁的热-机耦合振动及屈曲特性分析[J].振动与冲击, 2021, 40(18): 47-55. ZHOU Fengxi, PU Yu. Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to Thermal-mechanical loads [J]. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(18): 47-55. [13] Tan-Van Vu, Huu-Loi Cao, Gia-Toai Truong, Chang-Soo Kim. Buckling analysis of the porous sandwich functionally graded plates resting on Pasternak foundations by Navier solution combined with a new refined quasi-3D hyperbolic shear deformation theory[J]. Mechanics Based Design of Structures and Machines,2022,https://doi.org/10.1080/15397734.2022.2038618. [14] Narayan Sharma, Prasant Kumar Swain, Dipak Kumar Maiti, Bhrigu Nath Singh. Vibration and Uncertainty Analysis of Functionally Graded Sandwich Plate Using Layerwise Theory[J]. AIAA Journal, 2022, 60(6): 3402-3423. [15] Pham Van Vinh, Le Quang Huy. Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory[J]. Defence Technology, 2022, 18: 490-508. [16] 滕兆春,马铃权,付小华.多孔功能梯度材料Timoshenko梁的非线性自由振动分析[J].西北工业大学学报, 2022, 40(5): 1145-1154. TENG Zhaochun, MA Lingquan,FU Xiaohua. Nonlinear free vibration analysis of Timoshenko beams with porous functionally graded materials [J]. Journal of Northwestern Polytechnical University, 2022, 40(5): 1145-1154. [17] Lazreg Hadji, Mehmet Avcar, Nafifissa Zouatnia. Natural frequency analysis of imperfect FG sandwich plates resting on Winkler-Pasternak foundation[J]. Materials Today: Proceedings, 2022,53:153-160. [18] 黄小林,刘思奇,张燕宁,吴迪.含孔隙功能梯度材料截锥壳的动力稳定性研究[J].河南理工大学学报(自然科学版), 2023, 42(2): 153-159. HUANG Xiaolin，LIU Siqi，ZHANG Yanning，WU Di. Study on the dynamic stability of porous functionally graded conical shell [J]. JOURNAL OF HENAN POLYTECHNIC UNIVERSITY (NATURAL SCIENCE), 2023, 42(2): 153-159. [19] Nuttawit Wattanasakulpong, Variddhi Ungbhakorn. Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities[J]. Aerospace Science and Technology, 2014, 32(1): 111-120. [20] 蒋伟男,郝育新,吕梅.几种边界条件下功能梯度夹层板自由振动分析[J].北京信息科技大学学报, 2020, 35(1): 15-22. JIANG Weinan, HAO Yuxin, LU(••) Mei. Free vibration analysis of functional gradient sandwich plates under several boundary conditions [J]. Journal of Beijing Information Science ＆ Technology University, 2020, 35(1): 15-22. [21] Slimane Merdaci, Abdelouahed Tounsi, Mohammed Sid Ahmed Houari, Ismail Mechab, Habib Hebali, Samir Benyoucef. Two new refined shear displacement models for functionally graded sandwich plates[J]. Arch Appl Mech, 2011, 81: 1507-1522. [22] Reissner E. On transverse bending of plates, including the effect of transverse shear deformation[J]. International Journal of Solids and Structures, 1974, 11(5): 569-573. [23] Yu Y Y. Generalized Hamilton's principle and variational equation of motion in nonlinear elasticity theory, with application to plate theory. Journal of the Acoustical Society of America, 1964, 36(1):111-120. [24] Tan-Van Vu, Ngoc-Hung Nguyen, Tan-Tai Huynh Nguyen,Canh-Tuan Nguyen, Quang-Hung Truong, and Ut-Kien Van Tang. Free Vibration Analysis of FG Sandwich Plates on Elastic Foundation Using a Refined Quasi-3D Inverse Sinusoidal Shear Deformation Theory[C]. ICSCEA 2019.