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工程力学  2015 

受初应力作用的轴向运动功能梯度梁的动力学分析

DOI: 10.6052/j.issn.1000-4750.2014.03.0223, PP. 226-232

Keywords: 功能梯度材料,轴向运动梁,初应力,固有频率,模态函数

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Abstract:

基于Euler梁模型研究了初始应力作用下轴向运动功能梯度材料梁的横向振动问题。假设材料性质沿梁的厚度方向按幂指数形式连续变化,利用Hamilton原理建立了系统的控制方程,应用复模态法求得了其固有频率和模态函数,接着分析了轴向运动速度、梯度指数、初应力大小等因素对梁的动力响应的影响。结果表明:梯度指数和轴向速度的增大都会导致固有频率降低,轴向初应力的增大则使得固有频率升高。

References

[1]  牛牧华, 马连生. 基于物理中面 FGM 梁的非线性力学行为[J]. 工程力学, 2011, 28(6): 219―225. Niu Muhua, Ma Liansheng. Nonlinear mechanical behaviors of FGM beams based on the physical neutral surface [J]. Engineering Mechanics, 2011, 28(6): 219―225. (in Chinese)
[2]  胡宇达, 张小广, 张志强. 功能梯度矩形板的强非线性共振分析[J]. 工程力学, 2012, 29(3): 16―20. Hu Yuda, Zhang Xiaoguang, Zhang Zhiqiang. Strongly nonlinear resonance analysis of functionally graded material rectangular plates [J]. Engineering Mechanics, 2012, 29(3): 16―20. (in Chinese)
[3]  姚晓莎, 王忠民, 赵凤群. 轴向运动功能梯度梁的横向振动[J]. 机械工程学报, 2013, 49(23): 117―122. Yao Xiaosha, Wang Zhongmin, Zhao Fengqun. Transverse vibration of axially moving beam made of functionally graded materials [J]. Journal of Mechanical Engineering, 2013, 49(23): 117―122. (in Chinese)
[4]  Wickert J A, Mote C D Jr. Classical vibration analysis of axially moving continua [J]. Journal of Applied Mechanics, 1990, 57(3): 738―744.
[5]  Özkaya E, Pakdemirli M. Vibrations of an axially accelerating beam with small flexural stiffness [J]. Journal of Sound and Vibration, 2000, 234(3): 521―535.
[6]  Tang Y Q, Chen L Q, Yang X D. Nonlinear vibrations of axially moving Timoshenko beams under weak and strong external excitations [J]. Journal of Sound and Vibration, 2009, 320(4): 1078―1099.
[7]  Tang Y Q, Chen L Q, Yang X D. Parametric resonance of axially moving Timoshenko beams with time-dependent speed [J]. Nonlinear Dynamics, 2009, 58(4): 715―724.
[8]  Chen L Q, Tang Y Q, Lim C W. Dynamic stability in parametric resonance of axially accelerating viscoelastic Timoshenko beams [J]. Journal of Sound and Vibration, 2010, 329(5): 547―565.
[9]  Ding H, Zhang G C, Chen L Q. Supercritical vibration of nonlinear coupled moving beams based on discrete Fourier transform [J]. International Journal of Non-Linear Mechanics, 2012, 47(10): 1095―1104.
[10]  刘延柱. 大变形轴向运动梁的精确动力学模型[J]. 力学学报, 2012, 44(5): 832―838. Liu Yanzhu. Exact dynamical model of axially moving beam with large deformation [J]. Journal of Theoretical and Applied Mechanics, 2012, 44(5): 832―838. (in Chinese)
[11]  Yao M H, Zhang W, Zu J W. Multi-pulse chaotic dynamics in non-planar motion of parametrically excited viscoelastic moving belt [J]. Journal of Sound and Vibration, 2012, 331(11): 2624―2653.
[12]  Yang X D, Zhang W, Chen L Q. Transverse vibrations and stability of axially traveling sandwich beam with soft core [J]. Journal of Vibration and Acoustics-Transactions of the ASME, 2013, 135(5): 051013.
[13]  李成, 姚林泉. 轴向运动超薄梁的非局部动力学分析 [J]. 工程力学, 2013, 30(4): 367―372. Li Cheng, Yao Linquan. Nonlocal dynamical analysis on axially travelling ultra-thin beams [J]. Engineering Mechanics, 2013, 30(4): 367―372. (in Chinese)
[14]  Wang L, Hu Z, Zhong Z. Non-linear dynamical analysis for an axially moving beam with finite deformation [J]. International Journal of Non-Linear Mechanics, 2013, 54: 5―21.
[15]  Sankar B V. An elasticity solution for functionally graded beams [J]. Composites Science and Technology, 2001, 61(5): 689―696.
[16]  黄小林, 沈惠申. 热环境下功能梯度材料板的自由振动和动力响应[J]. 工程力学, 2005, 22(3): 224―227. Huang Xiaolin, Shen Huishen. Free vibration and dynamic response of functionally graded plates in thermal environments [J]. Engineering Mechanics, 2005, 22(3): 224―227. (in Chinese)
[17]  Li S R, Zhang J H, Zhao Y G. Thermal post-buckling of functionally graded material Timoshenko beams [J]. Applied Mathematics and Mechanics, 2006, 27(6): 803―810.
[18]  Ying J, Lü C F, Chen W Q. Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations [J]. Composite Structures, 2008, 84(3): 209―219.
[19]  Lü C F, Chen W Q, Xu R Q, et al. Semi-analytical elasticity solutions for bi-directional functionally graded beams [J]. International Journal of Solids and Structures, 2008, 45(1): 258―275.
[20]  Piovan M T, Sampaio R. Vibrations of axially moving flexible beams made of functionally graded materials [J]. Thin-Walled Structures, 2008, 46(2): 112―121.
[21]  周凤玺, 李世荣. 功能梯度材料矩形板的三维瞬态热弹性分析[J]. 工程力学, 2009, 26(8): 59―64. Zhou Fengxi, Li Shirong. Three-dimensional analysis for transient thermal responses of functionally graded material rectangular plates [J]. Engineering Mechanics, 2009, 26(8): 59―64. (in Chinese)

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