粘弹层合板的自由振动和横向应力

胡明勇; 王安稳

粘弹层合板的自由振动和横向应力

海军工程大学理学院,武汉 430033

基金项目: 国家自然科学基金资助项目(10572150)

详细信息

作者简介:
胡明勇(1977- ),男,博士生(联系人.E-mail:shuai.humingyong@163.com).

中图分类号: O661.44
计量
- 文章访问数: 2705
- HTML全文浏览量: 83
- PDF下载量: 435
- 被引次数: 0
出版历程
- 收稿日期: 2007-11-21
- 修回日期: 2008-10-31
- 刊出日期: 2009-01-15

Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates

College of Science, Naval University of Engineering, Wuhan 430033, P. R. China

摘要

摘要: 基于Reddy分层理论并在板厚方向取二次位移插值函数来推导出粘弹层合板的动力学方程，得到了简支粘弹夹层层合板的振动频率，其数值与已知文献数据吻合较好，且能够计算出协调的横向应力．在低频自由振动时，横向剪应力是造成粘弹层合板脱层的主要原因；高频时，横向正应力在脱层破坏中起主要作用．分析了粘弹材料模量对层合板横向应力的影响以及横向应力最大值与面内应力最大值的比值．结果表明所采用的算法、算式及所编写的程序是可靠的．
- 粘弹性 /
- 分层理论 /
- 横向应力 /
- 层合板
Abstract: Based on Reddy.s layerwise theory, the governing equations for dynamic response of viscoelastic laminated plate were derived by using the quadratic inter polation function for displacement in the direction of plate thickness. And the vibration frequencies and loss factors were calculated for free vibration of simply supported viscoelastic sandwich plate, which shows a good agreement with the data in the reference. And harmonio us transverse stresses can be obtained. The transverse shear stresses are the main factor that leads to the delamination of viscoelastic laminated plate in lower-frequency free vibration and the transverse normal stress in higher-frequency free vibration. The relationship of the modulus of viscoelastic materials to transverse stress was analyzed. The ratio of transverse stress max-value to in-plane stress max-value was obtained. The results show that the method, equations and programs are reliable.
- viscoelastic /
- layerwise theory /
- transverse stress /
- laminated plate

HTML全文

参考文献(14)

[1]	Bose P,Reddy J N.Analysis of composite plate using various plate theories, Part 1-Formulation and analytical solution[J].Structural Engineering and Mechanics,1998,6(6):583-612.
[2]	Reissner E.The effect of transverse shear deformations on the bending of elastic plates[J].Journal of Applied Mechanics,1945,12(2):69-77.
[3]	Mindlin R D.Influence of rotatory inertia and shear on flexural motion of isotropic elastic plates[J].Journal of Applied Mechanics，1951，18(1):31-38.
[4]	Awrejcewicz J,Krysko V A.3-D theory versus 2-D approximate theory of free orthotropic (isotropic) plate and shell vibrations,part1:derivation of governing equations[J].Journal of Sound and Vibration，1999，226(5):807-829. doi: 10.1006/jsvi.1999.2321
[5]	Reddy J N.Theories and computational models for composite laminate[J].Applied Mechanics Reviews,1994,47(6):147-169. doi: 10.1115/1.3111076
[6]	Reddy J N.A simple higher-order theory for laminated composite shells[J].Journal of Applied Mechanics,1984,51(12):745-752. doi: 10.1115/1.3167719
[7]	Reddy J N.A refined nonlinear theory of plates with transverse shear deformation[J].International Journal of Solids and Structures,1984,20(9):881-896. doi: 10.1016/0020-7683(84)90056-8
[8]	Reddy J N.A general non-linear third-order theory of plates with moderate thickness[J].International Journal of Non-Linear Mechanics,1990,25(4):677-686. doi: 10.1016/0020-7462(90)90006-U
[9]	Reddy J N.Mechanices of Laminated Composite Plates[M].New York:CRC-Press,1997.
[10]	Yand H T Y,Saigal S,Masud A,et al.A survey of recent shell finite elements[J].International Journal of Numerical Method in Engineering,2000,47(1):101-127. doi: 10.1002/(SICI)1097-0207(20000110/30)47:1/3<101::AID-NME763>3.0.CO;2-C
[11]	Hughes T J R,Tezduyar T E.Finite elements based upon mindlin plate theory with particular reference to the four node bilinear isoparametric element[J].Journal of Applied Mechanics,1981,48(10):587-596. doi: 10.1115/1.3157679
[12]	Xiao C Z,Lin D X,Ju F.Finite element analysis of modal parameters on anisotropic laminated plates[J].Journal of Vibration, Acoustics Stress and Reliability in Design,1988,110(4):473-477. doi: 10.1115/1.3269553
[13]	Reddy J N.Theories and computational models for composite laminate[J].Applied Mechanics Reviews，1994,47(6):147-169. doi: 10.1115/1.3111076
[14]	Cupial P,Niziol J.Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer[J].Journal of Sound and Vibration,1995,183(1):99-114. doi: 10.1006/jsvi.1995.0241