In order to control the flutter of panels in supersonic flow, piezoelectric patches were bonded to the panel surfaces where flutter deformations were large.Each piezoelectric patch was connected with a negative capacitance shunt, which was utilized to modify the bending rigidity of the panel so as to boost the flutter critical speed.The results of finite element calculations demonstrate that the modal frequencies and flutter critical speed of the panel were effectively enhanced by attaching negative capacitance shunts.With increasing the magnitude of negative capacitance , especially when it approaches to the inherent capacitance of the piezoelectric patch, the flutter critical speed of the panel increases rapidly.The results of nonlinear flutter calculations also validate the effectiveness of the negative capacitance shunts control.
陈圣兵，吴东升，王锋，武龙. 超声速气流中壁板颤振分析及负电容分流控制[J]. 振动与冲击, 2020, 39(22): 23-27.
CHEN Shengbing，WU Dongsheng，WANG Feng，WU Long. Analysis and control of panel flutter in supersonic flow by attaching negative capacitance shunts. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(22): 23-27.
[1] 杨超. 飞行器气动弹性原理（第2版）[M]. 北京: 北京航空航天大学出版社.
[2] 杨智春, 夏巍. 壁板颤振的分析模型、数值求解方法和研究进展[J]. 力学进展, 2010, 40(1): 81-98.
YAN Zhi-chun, XIA Wei. Analytical models, numerical solutions and advances in the study of panel flutter [J]. Advances in mechanics, 2010, 40(1): 81-98.
[3] Garrick I E and Reed W H. Historical development of aircraft flutter [J]. Journal of Aircraft, 1981, 18(11): 897-912.
[4] Dowell E H. Nonlinear oscillations of a fluttering plate [J]. AIAA Journal, 1966, 4(7): 1267-1275.
[5] Dowell E H. Panel flutter: A review of the aeroelastic stability of plate and shells [J]. AIAA Journal, 1970, 8(3): 385-399.
[6] Xie D, Xu M. A comparsion of numercial and semi-analytical proper orthogonal decomposition methods for a fluttering plate. Nonlinear Dynamics, 2015, 79: 1971-1989.
[7] Xie D, Xu M, Dowell E H. Proper orthogonal decomposition reduced order model for nonlinear aeroelstic oscillations. AIAA Journal, 2014, 52(2): 229-241.
[8] Xie D, Xu M, Dai H, Dowell E H. Proper orthogonal decomposition method for analysis of nonlinear panel flutter with thermal effects in supersonic flow. Journal of Sound and Vibration, 2015, 337: 263-283.
[9] 杨智春, 夏巍, 孙浩. 高速飞行器壁板颤振的分析模型和分析方法[J]. 应用力学学报, 2006, 23(4):537-542.
Yang Zhi-chun, Xia Wei, Sun Hao. Analysis of panel flutter in high speed flight vehicles [J]. Chinese Journal of Applied Mechanics, 2006, 23(4): 537-542.
[10] Forward R L. Electronic damping of vibrations in optical structures [J]. Applied Optics, 1979, 18(5): 690-697.
[11] Hagood N W, von Flotow A. Damping of structural vibrations with piezoelectric materials and passive electrical networks [J]. Journal of Sound and Vibration, 1991, 146(2): 243-268.
[12] Hollkamp J J. Multimodal passive vibration suppression with piezoelectric materials and resonant shunts [J]. Journal of Intelligent Material Systems and Structures, 1994, 5: 49-57.
[13] Clark W W. Vibration control with state-switched piezoelectric materials [J]. Journal of Intelligent Material Systems and Structures, 2000, 11: 263-271.
[14] Neubauer M, Oleskiewicz R, Popp K, Krzyzynski T. Optimization of damping and absorbing performance of shunted piezo elements utilizing negative capacitance [J]. Journal of Sound and Vibration, 2006, 298: 84-107.
[15] Tang J and Wang K W. Active-passive hybrid piezoelectric networks for vibration control: comparisons and improvement [J]. Smart Materials and Structures, 2001, 10(4): 794-806.
[16] Park C H and Baz A. Vibration control of beams with negative capacitive shunting of interdigital electrode piezocramics [J]. Journal of Vibraiton and Control, 2005, 11(3): 331-346.
[17] Marneffe B D and Preumont A. Vibration damping with negative capacitance shunts: theory and experiment [J]. Smart Materials and Structures, 2008, 17(3): 4006-4032.
[18] Manzoni S, Moschini S, Redaelli M and Vanali M. Vibration attenuation by means of piezoelectric transducer shunted to synthetic negative capacitance [J]. Journal of Sound and Vibration, 2012, 331(21): 4644-4657.
[19] 张文群, 张萌, 吴新跃. 负电容压电分流阻尼系统的能量耗散特性[J]. 振动与冲击, 2008, 27(10): 70-74.
ZHANG Wen-qun, ZHANG Meng, WU Xin-yue. Energy dissipation performance of a piezoelectric shunted system with negative capacitance [J]. Journal of Vibration and Shock, 2008, 27(10): 70-74.
[20] 沈星, 桂欣俊. 智能结构的负电容压电被动控制[J]. 南京航空航天大学学报, 2013, 45(6): 739-745.
SHEN Xing, GUI Xin-jun. Negative capacitance piezoelectric passive control of intelligent structure [J]. Journal of Nanjing University of Aeronautics and Astronautics, 2013, 45(6): 739-745.
[21] 马小陆, 胡兴柳. 负电容压电阻尼振动控制系统稳定性研究[J]. 机械科学与技术, 2016, 35(3): 444-447.
MA Xiao-lu, HU Xing-liu. Research on stability of vibration control system with negative capacitance piezoelectric damping [J]. Mechanical Science and Technology for Aerospace Engineering, 2016, 35(3): 444-447.
[22] Beck B, Cunefare K A and Collet M. The power output and efficiency of a negative capacitance shunt for vibration control of a flexural system[J]. Smart Materials and Structures, 2013, 22: 065009.
[23] Chen S, Wen J, Yu D, et al. Band gap control of phononic beam with negative capacitance piezoelectric shunt[J]. Chinese Physics B, 2011, 20(1): 014301.
[24] Lamorte N and Friedmann P P. Hypersonic aeroeleastic and aerothermoelastic studies using computational fluid dynamics[J]. AIAA Journal, 2014, 52(9): 2062-2078.
[25] 宋智广. 超声速气流中结构非线性气动热弹性分析[D]. 哈尔滨: 哈尔滨工业大学.
[26] de Marneffe B. Active and passive vibration isolation and damping via shunted transducers [D]. Belgium: Université Libre de Bruxelles (ULB), 2007.
