剪切变形对直线型正交异性层合圆板大幅度受迫振动的影响<sup>*</sup>

徐加初; 刘人怀

剪切变形对直线型正交异性层合圆板大幅度受迫振动的影响^*

徐加初¹,
刘人怀²

1.
南京航空航天大学, 南京 210016;
2.
暨南大学, 广州 510632

基金项目: *国家自然科学基金;航空基金

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出版历程
- 收稿日期: 1996-03-06
- 刊出日期: 1998-02-15

Shear Effects on Large Amplitude Forced Vibration of Symmetrically Laminated Rectilinearly Orthotropic Circular Plates

Xu Jiachu¹,
Liu Renhuai²

1.
Department of Aircraft Engineering, Nanjing University of Aeronauties and Astronautics, Nanjing 210016, P. R. China;
2.
Institute of Mathematics and Mechanics Jinan University, Guangzhou 510632, P. R. China

摘要

摘要: 本文研究了计及横向剪切变形的直线型正交异性层合圆板在简谐载荷q₀cosωt作用下的非线性受迫振动问题.采用伽辽金方法得到强振频率与振幅关系的解析解.最后,分析了横向剪切对板振动的影响,并给出了板的非线性自由振动的非线性周期对线性周期的比值.
- 大幅度受迫振动 /
- 直线型正交异性 /
- 层合圆板 /
- 横向剪切
Abstract: In this paper,nonlinear forced vibration of symmetrically laminated rectilined rectilinearly orthotropic circular plates excited by a harmonic force q₀cosωt including effects of transverse shear deformation is discussed.The ahalytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin's method.Finally,the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period to linear period for nonlinear free vibration of the plate.
- large amplitude forced vibration rectilinear orthotropy /
- laminaied circular plate /
- transverse shear /

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参考文献(18)

[1]	C.Y.Chia,Nonlinear Analysis of Plates,McGraw-Hill,New York(1980).
[2]	Liu Renhuai,On non-linear buckling of symmetrically laminated,cylindricallyorthotropic,truncated,shallow,spherical shells under uniform pressure including sheareffects,Int.J.Non-Linear Mechanics,31,1(1996),101-115.
[3]	Liu Renhuai,Non-linear buckling of symmetrically laminated,cylindrically orthotropic.shallow,conical shells considering shear,Int.J.Non-Linear Mechanics,31.1(1996).89-99.
[4]	刘人怀,考虑横向剪切的对称层合圆柱正交异性扁球壳的非线性稳定问题,中国科学,A辑,(7)(1991),742-751.
[5]	刘人怀,对称圆柱正交异性层合扁球壳的非线性稳定问题,应用数学和力学,12(3)(1991),251-258.
[6]	刘人怀,对称层合圆柱正交异性复合材料扁球壳的大挠度方程,《应用数学和力学,钱伟长八十诞辰祝寿文集》,科学出版社和重庆出版社,北京和重庆(1993),279-284.
[7]	刘人怀、钟诚,考虑横向剪切的对称层合圆柱正交异性中心开孔扁球壳的非线性屈曲,暨南大学学报(自然科学版),15(1)(1994),1-12.
[8]	Liu Renhuai and He Linghui,A simple theory for non-linear bending of laminatedcomposite rectangular plates including higher-order effects,Int.J.Non-Linear Mechanics,26,5(1991),537-545.
[9]	Liu Renhuai and He Linghui,Nonlinear bending of simply supported symmetriclaminated cross-ply rectangular plates,Applied Mathematics and Mechanics(English Ed).11,9(1990),801-807.
[10]	Liu Renhuai and Zhai Shongzhong,Nonlinear bending of symmetrically laminated rectlinearly orthotropic elliptical plates.Proceedings of The Third Guangdong Conference on Composite Material,Panyu(1993),92-101.(in Chinese).
[11]	He Linghui and Liu Renhuai,A laminated plate theory accounting for continuityconditions of displacements and transverse shear stresses at layer interfaces,ActaMechanica Solids Sinica,15,4(1994),319-326.(in Chinese).
[12]	Liu Renhuai and He Linghui.Axisymmetrical bending of laminated circular plates,J.Jiangxi Polytech Univ.13.2(1991),199-205.(in Chinese).
[13]	Liu Renhuai and Xu Jiachu,Large deflection of symmetrically laminated rectilinearlycircular plates including shear effects.Proceedings of The Second Guangdong Conference on Composite Material,Zhongshan(1992).75-82.(in Chinese).
[14]	Wang Renjie.Large deflection of symmetrically laminated orthotropic composite circularplate.Acta Materiae Compositae Sinica.5.4(1988),84.(in Chinese).
[15]	Gu Fang and Lo Zudao.Large deflection bending of composite circular plates exhibitingrectilinear orthotropy,Acta Materiac Compositae Sinica,5,2(1988),11.(in Chinese).
[16]	C.Y.Chia and M.K.Prabhakara,A general mode approach to nonlinear flexural vibrations of laminated rectangular plates,ASME J.Appl.Mech.,45,3(1978),623.
[17]	S.A.Zaghloul and J.B.Kennedy,Nonlinear behavior of symmetrically laminatedplates.ASME,J.Appl.Mech.,42,2(1975).234.
[18]	R.M.Jones,Mechanics of Composite Materials,McGraw-Hill,New York(1975),147.