Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer

doi:10.1007/s10483-016-2012-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (1): 107-120.doi: https://doi.org/10.1007/s10483-016-2012-9

Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer

Xingzhe WANG¹, Longfei LI², Youhe ZHOU¹

1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
2. Department of Theoretical and Applied Mechanics, School of Mining and Safety Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong Province, China

收稿日期:2015-01-09 修回日期:2015-05-11 出版日期:2016-01-01 发布日期:2016-01-01
通讯作者: Xingzhe WANG E-mail:xzwang@lzu.edu.cn
基金资助:
Project supported by the Innovative Research Groups of the National Natural Science Foundation of China (No. 11421062) and the National Natural Science Foundation of China (No. 11202119)

Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer

Xingzhe WANG¹, Longfei LI², Youhe ZHOU¹

1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
2. Department of Theoretical and Applied Mechanics, School of Mining and Safety Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong Province, China

Received:2015-01-09 Revised:2015-05-11 Online:2016-01-01 Published:2016-01-01
Contact: Xingzhe WANG E-mail:xzwang@lzu.edu.cn
Supported by:
Project supported by the Innovative Research Groups of the National Natural Science Foundation of China (No. 11421062) and the National Natural Science Foundation of China (No. 11202119)

摘要/Abstract

摘要：

A dynamic model for a rotating sandwich annular plate with a viscoelastic core layer is developed. All fundamental equations and boundary conditions are established based on Hamilton's principle, and the rotation effect and viscoelastic properties of the sandwich structure are taken into account. The aerodynamics force acting on the plate is described by a rotating damping model, and the constitutive behavior of the viscoelastic core layer is formulated by the frequency-dependent complex modulus. The effects of geometrical and material parameters on frequencies and damping of forward and backward traveling waves and the dynamic stability for the rotating sandwich plate are numerically analyzed by means of Galerkin's method. The results show that the critical and flutter speeds of the rotating plate can be increased at some certain parameters of the viscoelastic core layer.

关键词: buckling, numerical analysis, critical speed, vibration, laminate, flutter speed

Abstract:

Key words: buckling, critical speed, vibration, numerical analysis, laminate, flutter speed

中图分类号:

74H45

Xingzhe WANG, Longfei LI, Youhe ZHOU. Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(1): 107-120.

参考文献

[1] Shen, I. Y. Vibration of flexible rotating disks. The Shock and Vibration Digest, 32, 267-272(2000)
[2] Lamb, H. and Southwell, R. V. The vibration of a spinning disk. Proceedings of the Royal Society, 99, 272-280(1921)
[3] Eversman, W. and Dodson, R. O. Free vibration of a centrally clamped spinning circular disk. American Institute of Aeronautics and Astronautics Journal, 7, 2010-2012(1969)
[4] Bauer, H. Vibration of a rotating uniform beam. Journal of Sound and Vibration, 72, 177-189(1980)
[5] Chen, J. S. Stability analysis of a spinning elastic disk under a stationary concentrated edge load. Journal of Applied Mechanics, 61, 788-792(1994)
[6] Shiau, T. N., Yu, Y. D., and Kuo, C. O. Vibration and optimum design of rotating laminated blades. Composites Part B:Engineering, 27, 173-183(1996)
[7] Lam, K. Y., and Li, H. On free vibration of a rotating truncated circular orthotropic conical shell. Composites Part B:Engineering, 30, 135-144(1999)
[8] Li, H. Influence of boundary conditions on the free vibration of rotating truncated circular multilayered conical shells. Composites Part B:Engineering, 31, 265-275(2000)
[9] Liew, K. M., Hu, Y. G., Ng, T. Y., and Zhao, X. Dynamic stability of rotating cylindrical shells subjected to periodic axial loads. International Journal of Solids and Structures, 43, 7553-7570(2006)
[10] Lee, D. and Waas, A. M. Stability analysis of a rotating multi-layer annular plate with a stationary frictional follower load. International Journal of Mechanical Sciences, 39, 1117-1138(1997)
[11] Lee, D., Waas, A. M., and Karnopp, B. H. Analysis of a rotating multi-layer annular plate modeled via layerwise zig-zag theory:free vibration and transient analysis. Computer and Structures, 63, 313-335(1998)
[12] Mead, D. J. and Markus, S. The forced vibrations of a three-layer damped sandwich beam with arbitrary boundary conditions. Institute of Aeronautics and Astronautics Journal, 10, 163-175(1969)
[13] Douglas, B. E. and Yang, J. C. S. Transverse compressional damping in the vibratory response of elastic-viscoelastic-elastic beams. Institute of Aeronautics and Astronautics Journal, 16, 925-930(1978)
[14] Rao, M. D., Echempati, R., and Nadella, S. Dynamic analysis and damping of composite structures embedded with viscoelastic layers. Composites Part B:Engineering, 28, 547-554(1997)
[15] Meunier, M. and Shenoi, R. A. Dynamic analysis of composite sandwich plates with damping modeled using high-order shear deformation theory. Composite Structure, 54, 243-254(2001)
[16] Nayak, A. K., Moy, S. S. J., and Shenoi, R. A. Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory. Composites Part B:Engineering, 33, 505-519(2002)
[17] Wang, H. J. and Chen, L. W. Vibration and damping analysis of a three-layered composite annular plate with a viscoelastic mid-layer. Composite Structures, 58, 563-570(2002)
[18] Chen, Y. R. and Chen, L. W. Axisymmetric parametric resonance of polar orthotropic sandwich annular plates. Composite Structures, 65, 269-277(2004)
[19] Meunier, M. and Shenoi, R. A. Forced response of FRP sandwich panels with viscoelastic materials. Journal of Sound and Vibration, 263, 131-151(2003)
[20] Chen, Y. R., Chen, L. W., and Wang, C. C. Axisymmetric dynamic instability of rotating polar orthotropic sandwich annular plates with a constrained damping layer. Composite Structures, 73, 290-302(2006)
[21] Chen, Y. R. and Chen, L. W. Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer. Composite Structures, 78, 45-57(2007)
[22] Li, L. F., Wang, X. Z., and Zhou, Y. H. Dynamic characteristics of traveling waves for a rotating laminated circular plate with viscoelastic core layer. Journal of Sound and Vibration, 330, 2836-2847(2011)
[23] Hosaka, H. and Crandall, S. Self-excited vibrations of a flexible disk rotating on an air film above a flat surface. Acta Mechanica, 3, 115-127(1992)
[24] Hansen, M. Aeroelasticity and Dynamics of Spinning Disks, Ph. D. dissertation, Technical University of Denmark (1999)
[25] Orgun, C. O. and Tongue, B. H. On localization in coupled, spinning, circular plates. ASME Journal of Vibration and Acoustics, 116, 555-561(1994)
[26] Park, J. S. and Shen, I. Y. Aerodynamically and structurally coupled vibration of multiple corotating disks. ASME Journal of Vibration and Acoustics, 126, 220-228(2004)
[27] Kim, B. C., Raman, A., and Mote, C. D., Jr. Prediction of aeroelastic flutter in a hard disk drive. Journal of Sound and Vibration, 238, 309-325(2000)
[28] Hansen, M. H., Raman, A., and Mote, C. D., Jr. Estimation of nonconservative aerodynamic pressure leading to flutter of spinning disks. Journal of Fluids and Structures, 15, 39-57(2001)
[29] Wang, X. Z. and Huang, X. Y. A simple modeling and experiment on dynamic stability of a disk rotating in air. International Journal of Structural Stability and Dynamics, 8, 41-60(2008)
[30] Wang, X. Z. and Huang, X. Y. Feedback control and optimization for rotating disk flutter suppression with actuator patches. Institute of Aeronautics and Astronautics Journal, 44, 892-900(2006)
[31] Galucio, A. C., Deu, J. F., and Ohayon, R. Finite element formulation of viscoelastic sandwich beams using fractional derivative operators. Computational Mechanics, 33, 282-291(2004)
[32] Yu, S. C. and Huang, S. C. Vibration of a three-layered viscoelastic sandwich circular plate. International Journal of Mechanical Sciences, 43, 2215-2236(2001)

Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer

Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer

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