Mode tracking technique in flutter analysis based on orthogonality check

PDF(1943 KB)

Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (19) : 84-89.

JIANG Lingwen1, 2 HANG Xiaochen1, 2 FEI Qingguo1, 2

Author information +

History +

Abstract

Mode tracking is one of the key problems in flutter analysis. The common method based on modal assurance criterion frequently fails near the critical point during the application. The mathematical mechanism of this method is studied in this paper, thus revealing its defects in nature. A method based on orthogonality check is discussed, which introduces the left eigenvector. The method is applied to the flutter analysis of an unswept cantilevered wing box in the state space and the root locus of the system is obtained. The numerical results are compared with those of the MAC method and validate that the orthogonality check is more effective in mode tracking.

Key words

flutter / state space / eigenvector / mode tracking / MAC

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

JIANG Lingwen1, 2 HANG Xiaochen1, 2 FEI Qingguo1, 2. Mode tracking technique in flutter analysis based on orthogonality check[J]. Journal of Vibration and Shock, 2017, 36(19): 84-89

References

[1] Eldred M S, Venkayya V B, Anderson W J. Mode tracking issues in structural optimization[J]. AIAA journal, 1995, 33(10): 1926-1933.
[2] 谢长川, 胡薇薇, 杨超. 颤振分析中的特征值排序问题[J]. 数学的实践与认识, 2007, 37(18): 141-146.
XIE Chang-chuan, HU Wei-wei, YANG Chao. Eigenvalue sorting problem in flutter analysis[J]. Mathematics in Practice and Theory, 2007, 37(18): 141-146.
[3] 吴志刚, 宋晨, 杨超. 颤振分析中的模态跟踪技术[J]. 北京航空航天大学学报, 2010 (2): 163-167.
WU Zhi-gang, SONG Chen, YANG Chao. Mode tracking techniques in flutter analysis [J]. Journal of Beijing University of Aeronautics and Astronautics, 2010 (2): 163-167.
[4] Eldred M S, Venkayya V B, Anderson W J. New mode tracking methods in aeroelastic analysis[J]. AIAA journal, 1995, 33(7): 1292-1299.
[5] 任智毅, 金海波, 丁运亮. 基于气动力分段表达的颤振求解方法与模态跟踪技术的应用[J]. 空气动力学学报, 2014, 32(2): 246-251.
REN Zhi-yi, JIN Hai-bo, DING Yun-liang. Flutter analysis based on the piecewise express of aerodynamic forces and the application of mode tracking technology[J]. Acta Aerodynamica Sinica, 2014, 32(2): 246-251.
[6] Desforges M J, Cooper J E, Wright J R. Mode tracking during flutter testing using the modal assurance criterion[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 1996, 210(1): 27-37.
[7] Gariffo J M. Generalized Reduced Order Modeling of Aeroservoelastic Systems[D]. University of California, Los Angeles, 2013: 35-39.
[8] 管德. 飞机气动弹性力学手册[M]. 北京:航空工业出版社, 1994: 126-142.
GUAN De. Aeroelasticity handbook of aircraft[M]. Beijing Aeronautical Industry Press, 1994: 126-142.
[9] 赵永辉. 气动弹性力学与控制[M]. 科学出版社, 2007: 310-315.
ZHAO Yong-hui. Aeroelasticity and control[M]. Science Press, 2007: 310-315.
[10] Wright J R, Cooper J E, 姚一龙. 飞机气动弹性力学及载荷导论[M]. 上海交通大学出版社, 2010: 161-163.
Wright J R, Cooper J E, YAO Yi-long. Introduction to aircraft aeroelasticity and loads[M]. Shanghai Jiaotong University Press, 2010: 161-163.
[11] Daré, Afolabi, V. Pidaparti R M, et al. Flutter prediction using an eigenvector orientation approach[J]. AIAA journal, 1998, 36(1): 69-74.
[12] Bhatia K G, Rudisill C S. Optimization of complex structures to satisfy flutter requirements[J]. AIAA Journal, 1971, 9(8): 1487-1491.
[13] Striz A G, Venkayya V B. Influence of structural and aerodynamic modeling on flutter analysis[J]. Journal of Aircraft, 1994, 31(5): 1205-1211.
[14] Hasan M. Multidisciplinary design and optimization of a composite wing box[D]. Middle East Technical University, 2003: 158-180.