Vibration characteristics and flutter analysis of a composite laminated plate with a store

doi:10.1007/s10483-018-2297-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (2): 241-260.doi: https://doi.org/10.1007/s10483-018-2297-6

Vibration characteristics and flutter analysis of a composite laminated plate with a store

Huagang LIN, Dengqing CAO, Yuqian XU

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

收稿日期:2017-05-15 修回日期:2017-08-01 出版日期:2018-02-01 发布日期:2018-02-01
通讯作者: Dengqing CAO E-mail:dqcao@hit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11472089)

Vibration characteristics and flutter analysis of a composite laminated plate with a store

Huagang LIN, Dengqing CAO, Yuqian XU

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

Received:2017-05-15 Revised:2017-08-01 Online:2018-02-01 Published:2018-02-01
Contact: Dengqing CAO E-mail:dqcao@hit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11472089)

摘要/Abstract

摘要：

The effects of an external store on the flutter characteristics of a composite laminated plate in a supersonic flow are investigated. The Dirac function is used to formulate the interaction between the plate and the store. The first-order piston theory is used to describe the aerodynamic load. The governing equation of the composite laminated plate with an external store is established based on the Hamilton principle. The mode shapes are constructed by the admissible functions which are a set of characteristic orthogonal polynomials generated directly by the Gram-Schmidt process, and the boundary constraint is modeled as the artificial springs. The frequency and mode shapes of the plate under different boundaries are determined by the Rayleigh-Ritz method. The validity of the proposed approach is confirmed by comparing the results with those obtained from the finite element method (FEM). The effects of the mounting position, the center of gravity position and the mounting points spacing of the external store on the flutter boundary are discussed for both the simply supported and cantilever plates, respectively, which correspond to the two installation sites of the external store, i.e., the belly and wings of the aircraft.

关键词: flutter boundary, Dirac-Poisson bracket, integrability, Hamiltonian systems, composite laminated plate, Rayleigh-Ritz method, Gram-Schmidt orthogonal polynomial, artificial spring

Abstract:

Key words: Dirac-Poisson bracket, integrability, Hamiltonian systems, artificial spring, Rayleigh-Ritz method, flutter boundary, Gram-Schmidt orthogonal polynomial, composite laminated plate

中图分类号:

74H45

Huagang LIN, Dengqing CAO, Yuqian XU. Vibration characteristics and flutter analysis of a composite laminated plate with a store[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(2): 241-260.

参考文献

[1] Tang, D., Attar, P., and Dowell, E. H. Flutter/limit cycle oscillation analysis and experiment for wing-store model. AIAA Journal, 44, 1662-1675(2006)
[2] Fazelzadeh, S. A., Marzocca, P., Rashidi, E., and Mazidi, A. Effects of rolling maneuver on divergence and flutter of aircraft wing store. Journal of Aircraft, 47, 64-70(2015)
[3] Mazidi, A., Kalantari, H., and Fazelzadeh, S. A. Aeroelastic response of an aircraft wing with mounted engine subjected to time-dependent thrust. Journal of Fluids and Structures, 39, 292-305(2013)
[4] Firouz-Abadi, R. D., Zarifian, P., and Haddadpour, H. Effect of fuel sloshing in the external tank on the flutter of subsonic wings. Journal of Aerospace Engineering, 27, 04014021(2014)
[5] Lei, Y. and Ye, Z. Y. The interference aerodynamics caused by the wing elasticity during store separation. Acta Astronautica, 121, 116-129(2016)
[6] Gern, F. H. and Librescu, L. Aeroelastic tailoring of composite wings exhibiting nonclassical effects and carrying external stores. Journal of Aircraft, 37, 1097-1104(2015)
[7] Golparvar, H., Irani, S., and Sani, M. M. Experimental investigation of linear and nonlinear aeroelastic behavior of a cropped delta wing with store in low subsonic flow. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38, 1113-1130(2016)
[8] Runyan, H. L. and Sewall, J. L. Experimental investigation of the effects of concentrated weights on flutter characteristics of a straight cantilever wing. Technical Report Archive and Image Library, 40, 1424-1429(1948)
[9] Dowell, E. and Weiliang, Y. E. Limit cycle oscillation of a fluttering cantilever plate. Acta Aeronautica et Astronautica Sinica, 29, 1929-1936(1991)
[10] Kouchakzadeh, M. A., Rasekh, M., and Haddadpour, H. Panel flutter analysis of general laminated composite plates. Composite Structures, 92, 2906-2915(2010)
[11] Pourtakdoust, S. H. and Fazelzadeh, S. A. Chaotic analysis of nonlinear viscoelastic panel flutter in supersonic flow. Nonlinear Dynamics, 32, 387-404(2003)
[12] Singha, M. K. and Ganapathi, M. A parametric study on supersonic flutter behavior of laminated composite skew flat panels. Composite Structures, 69, 55-63(2005)
[13] Kuo, S. Y. Flutter of rectangular composite plates with variable fiber pacing. Composite Structures, 93, 2533-2540(2011)
[14] Marques, F. D., Natarajan, S., and Ferreira, A. J. M. Evolutionary-based aeroelastic tailoring of stiffened laminate composite panels in supersonic flow regime. Composite Structures, 167, 30-37(2017)
[15] Bhat, R. B. Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method. Journal of Sound & Vibration, 102, 493-499(1985)
[16] Amabili, M. and Garziera, R. Vibrations of circular cylindrical shells with nonuniform constraints, elastic bed and added mass, part I:empty and fluid-filled shells. Journal of Fluids & Structures, 14, 669-690(2000)
[17] Jin, G., Ye, T., Chen, Y., Su, Z., and Yan, Y. An exact solution for the free vibration analysis of laminated composite cylindrical shells with general elastic boundary conditions. Composite Structures, 106, 114-127(2013)
[18] Mahi, A., Bedia, E. A. A., and Tounsi, A. A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates. Applied Mathematical Modelling, 39, 2489-2508(2014)
[19] Zhang, X. and Li, W. L. Vibrations of rectangular plates with arbitrary non-uniform elastic edge restraints. Journal of Sound & Vibration, 326, 221-234(2009)
[20] Wang, L., Yan, Z., Li, Z., and Yan, Z. Vibration of a rectangular plate carrying a massive machine with elastic supports. International Journal of Structural Stability & Dynamics, 1550069(2016)
[21] Li, J. and Narita, Y. Analysis and optimal design for supersonic composite laminated plate. Composite Structures, 101, 35-46(2013)
[22] Sun, X., Tang, C., and Tan, S. Analysis on aircraft wing with heavy external stores. Journal of Vibration Engineering, 21, 35-38(2008)
[23] Zhao, H. and Cao, D. A study on the aero-elastic flutter of stiffened laminated composite panel in the supersonic flow. Journal of Sound & Vibration, 332, 4668-4679(2013)

Vibration characteristics and flutter analysis of a composite laminated plate with a store

Vibration characteristics and flutter analysis of a composite laminated plate with a store

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价

[1]	Yanqing WANG, Chao YE, J. W. ZU. Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1587-1604.
[2]	Yanqing WANG, J. W. ZU. Analytical analysis for vibration of longitudinally moving plate submerged in infinite liquid domain[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(5): 625-646.
[3]	张石生王雄瑞刘敏朱浸华. Almost sure T-stability and convergence for random iterative algorithms[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(6): 805-810.
[4]	白瑞祥;陈浩然. NUMERICAL ANALYSIS OF DELAMINATION GROWTH FOR STIFFENED COMPOSITE LAMINATED PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 405-417.
[5]	李继彬;段晚锁. PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(2): 220-228.
[6]	沈惠申. KÁRMÁN-TYPE EQUATIONS FOR A HIGHER-ORDER SHEAR DEFORMATION PLATE THEORY AND ITS USE IN THE THERMAL POSTBUCKLING ANALYSIS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(12): 1137-1152.
[7]	高普云. A NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(10): 993-998.
[8]	马文秀. A HIERARCHY OF LIOUVILLE INTEGRABLE FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(4): 369-377.
[9]	凌复华;徐如进. NON-INTEGRABILITY AND CHAOS OF A CONSERVATIVE COMPOUND PENDULUM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(1): 51-59.