It is of great importance that obtaining the effects of frequency dependent characteristic on the vibration of viscoelastic composite structure during the dynamic modeling and vibration reduction design. On the basis of introducing the mechanical parameters appropriately, the dynamic model of viscoelastic composite structure under base excitation is established considering the frequency dependent characteristic and the formulas of solving the natural characteristics and vibration response are obtained. Furthermore, the thin cantilever titanium plate attached the viscoelastic damping material is chosen and an experiment is performed to verify the rationality of the developed method. Finally, using the model, the effects of frequency dependent characteristic on the vibration of viscoelastic composite plate are analyzed for the thin plate attached two kinds of different viscoelastic materials. They can be presented as follows. When calculating the natural frequencies and the non-resonances, the frequency dependent characteristic of viscoelastic material can be neglected. While solving the modal loss factors and the resonance responses of composite structure, the frequency dependent characteristic of viscoelastic material needs to be considered. If the frequency dependent characteristic is not included in the model, the results corresponding to the average values of viscoelastic parameters in the considered frequency range are more closed to the results obtained by considering the frequency dependent characteristic.
SUN Wei
,
YAN Xianfei
,
WANG Zhuo
. Analysis of the Effects of Frequency Dependent Characteristic on the Vibration of Viscoelastic Composite Structure[J]. Journal of Mechanical Engineering, 2018
, 54(5)
: 121
-128
.
DOI: 10.3901/JME.2018.05.121
[1] RAO M. Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes[J]. Journal of Sound and Vibration,2003,262(3):457-474.
[2] FAN R,MENG G,YANG J,et al. Experimental study of the effect of viscoelastic damping materials on noise and vibration reduction within railway vehicles[J]. Journal of Sound and Vibration,2009,319(1):58-76.
[3] JOHNSON C. Design of passive damping systems[J]. Transactions-American Society of Mechanical Engineers Journal of Mechanical Design,1995,117:171-177.
[4] BARKANOV E,SKUKIS E,PETITJEAN B. Characterisation of viscoelastic layers in sandwich panels via an inverse technique[J]. Journal of Sound and Vibration,2009,327(3):402-412.
[5] CORTÉS F,ELEJABARRIETA M J. Structural vibration of flexural beams with thick unconstrained layer damping[J]. International Journal of Solids and Structures,2008,45(22):5805-5813.
[6] MCTAVISH D,HUGHES P. Modeling of linear viscoelastic space structures[J]. Journal of Vibration and Acoustics,1993,115(1):103-110.
[7] LESIEUTRE G,BIANCHINI E. Time domain modeling of linear viscoelasticity using anelastic displacement fields[J]. Journal of Vibration and Acoustics,1995,117(4):424-430.
[8] BAGLEY R,TORVIK P. A theoretical basis for the application of fractional calculus to viscoelasticity[J]. Journal of Rheology,1983,27(3):201-210.
[9] SCARPA F,LANDI F,RONGONG J,et al. Improving the MSE method for viscoelastic damped structures[C]//SPIE's 9th Annual International Symposium on Smart Structures and Materials,March 17,2002,San Diego,CA. International Society for Optics and Photonics,2002:25-34.
[10] MA B,HE J. A finite element analysis of viscoelastically damped sandwich plates[J]. Journal of Sound and Vibration,1992,152(1):107-123.
[11] RAVI S,KUNDRA T,NAKRA B. A response re-analysis of damped beams using eigenparameter perturbation[J]. Journal of Sound and Vibration,1995,179(3):399-412.
[12] CORTÉS F,ELEJABARRIETA M. An approximate numerical method for the complex eigenproblem in systems characterised by a structural damping matrix[J]. Journal of Sound and Vibration,2006,296(1):166-182.
[13] ZGHAL S,BOUAZIZI M,BOUHADDI N,et al. Non-linear model reduction method applied to viscoelastically damped sandwich structures[C]//Proceedings of the Sixth Conference on Design and Modeling of Mechanical Systems,March 23-25,2015,Hammamet,Tunisia. Springer International Publishing,2015:553-562.
[14] 刘天雄,华宏星,陈兆能,等. 约束层阻尼板的有限元建模研究[J]. 机械工程学报,2002,38(4):108-114. LIU Tianxiong,HUA Hongxing,CHEN Zhaoneng,et al. Study on the model of finite element of constrained layer damping plate[J]. Chinese Journal of Mechanical Engineering,2002,38(4):108-114.
[15] TRINDADE M,BENJEDDOU A,OHAYON R. Modeling of frequency-dependent viscoelastic materials for active-passive vibration damping[J]. Journal of Vibration and Acoustics,2000,122(2):169-174.
[16] BILASSE M,AZRAR L,DAYA E. Complex modes based numerical analysis of viscoelastic sandwich plates vibrations[J]. Computers & Structures,2011,89(7):539-555.
[17] 孙伟,齐飞. 考虑频率依赖性的涂层复合结构固有特性求解[J]. 计算力学学报,2013,30(6):867-871. SUN Wei,QI Fei. Solving nature characteristics of coating composite structural considering frequency dependence property of coating materials[J]. Chinese Journal of Computational Mechanics,2013,30(6):867-871.
[18] FOX R,KAPOOR M. Rates of change of eigenvalues and eigenvectors[J]. AIAA Journal,1968,6(12):2426-2429.
[19] NELSON R. Simplified calculation of eigenvector derivatives[J]. AIAA Journal,1976,14(9):1201-1205.
