| Citation: | SUN Yang, ZHOU Biao, ZANG Chaoping. A TSHBM method and its application in response calculation of dry friction damped blades[J]. Journal of Aerospace Power, 2024, 39（10）：20220195 doi: 10.13224/j.cnki.jasp.20220195
|
A novel nonlinear forced vibration response calculation method based on the time-spectral form of harmonic balance method (TSHBM) was established and applied to the response analysis of dry friction damped blades structure with contact interfaces. A general framework for the nonlinear forced response computation was established based on the TSHBM, of which the principles and characteristics were emphasized. In order to appropriately account for the contact nonlinearity, the computational schemes for dry friction force and the construction of an analytic Jacobian matrix were proposed. The novel computational method for nonlinear forced responses of blades with contact interfaces was built. The numerical simulation results showed that for the FE model of a bladed disk sector with dovetail joint, when the 1st and 3rd harmonic orders were respectively reserved, the nonlinear vibration response calculation time of this method was reduced by 37% and 46%, respectively, compared with traditional multi-harmonic balance method. So this method has unique advantages in terms of ease of use, generalizability and computational efficiency.
| [1] |
李琳,高钱,吴亚光,等. 考虑参数关联的缘板阻尼器减振性能分析[J]. 航空动力学报,2021,36(8): 1657-1668. LI Lin,GAO Qian,WU Yaguang,et al. On the vibration reduction performance of underplatform dampers considering parameter correlation[J]. Journal of Aerospace Power,2021,36(8): 1657-1668. (in Chinese
LI Lin, GAO Qian, WU Yaguang, et al. On the vibration reduction performance of underplatform dampers considering parameter correlation[J]. Journal of Aerospace Power, 2021, 36(8): 1657-1668. (in Chinese)
|
| [2] |
阳刚,周标,臧朝平. 含接触界面的叶盘结构强迫振动响应快速预测方法[J]. 航空动力学报,2019,34(9): 1953-1961. YANG Gang,ZHOU Biao,ZANG Chaoping. Fast response prediction method for bladed disks with contact interfaces[J]. Journal of Aerospace Power,2019,34(9): 1953-1961. (in Chinese
YANG Gang, ZHOU Biao, ZANG Chaoping. Fast response prediction method for bladed disks with contact interfaces[J]. Journal of Aerospace Power, 2019, 34(9): 1953-1961. (in Chinese)
|
| [3] |
ZUCCA S,EPUREANU B I. Bi-linear reduced-order models of structures with friction intermittent contacts[J]. Nonlinear Dynamics,2014,77(3): 1055-1067. doi: 10.1007/s11071-014-1363-8
|
| [4] |
SIEWERT C,PANNING L,WALLASCHEK J,et al. Multiharmonic forced response analysis of a turbine blading coupled by nonlinear contact forces[J]. Journal of Engineering for Gas Turbines and Power,2010,132(8): 082501. doi: 10.1115/1.4000266
|
| [5] |
LAXALDE D,THOUVEREZ F. Complex non-linear modal analysis for mechanical systems: application to turbomachinery bladings with friction interfaces[J]. Journal of Sound and Vibration,2009,322(4/5): 1009-1025.
|
| [6] |
PETROV E P,EWINS D J. Analytical formulation of friction interface elements for analysis of nonlinear multi-harmonic vibrations of bladed disks[J]. Journal of Turbomachinery,2003,125(2): 364-371. doi: 10.1115/1.1539868
|
| [7] |
PETROV E P. Method for sensitivity analysis of resonance forced response of bladed disks with nonlinear contact interfaces[J]. Journal of Engineering for Gas Turbines and Power,2009,131(2): 022510. doi: 10.1115/1.2969094
|
| [8] |
SALLES L,BLANC L,THOUVEREZ F,et al. Dual time stepping algorithms with the high order harmonic balance method for contact interfaces with fretting-wear[J]. Journal of Engineering for Gas Turbines and Power,2012,134(3): 1.
|
| [9] |
HALL K C,THOMAS J P,CLARK W S. Computation of unsteady nonlinear flows in cascades using a harmonic balance technique[J]. AIAA Journal,2002,40: 879-886. doi: 10.2514/2.1754
|
| [10] |
LABRYER A,ATTAR P J. A harmonic balance approach for large-scale problems in nonlinear structural dynamics[J]. Computers & Structures,2010,88(17/18): 1002-1014.
|
| [11] |
MUNDIS N L,MAVRIPLIS D J. An efficient flexible GMRES solver for the fully-coupled time-spectral aeroelastic system: AIAA 2014-1427 [R]. Reston,US: AIAA,2014.
|
| [12] |
SICOT F,PUIGT G,MONTAGNAC M. Block-jacobi implicit algorithms for the time spectral method[J]. AIAA Journal,2008,46(12): 3080-3089. doi: 10.2514/1.36792
|
| [13] |
WOODGATE M A,BADCOCK K J. Implicit harmonic balance solver for transonic flow with forced motions[J]. AIAA Journal,2009,47(4): 893-901. doi: 10.2514/1.36311
|
| [14] |
SU X, YUAN X. Implicit solution of time spectral method for periodic unsteady flows[J]. International Journal for Numerical Methods in Fluids,2010,63(7): 860-876.
|
| [15] |
RAMEZANIAN D,MAVRIPLIS D,AHRABI B R. An order N log N parallel solver for time-spectral problems[J]. Journal of Computational Physics,2020,411: 109319. doi: 10.1016/j.jcp.2020.109319
|
| [16] |
KRACK M,GROSS J. Harmonic balance for nonlinear vibration problems[M]. Cham: Springer International Publishing,2019.
|
| [17] |
刘南,白俊强,华俊,等. 高阶谐波平衡方法中非物理解来源分析及改进方法研究[J]. 力学学报,2016,48(4): 897-906. LIU Nan,BAI Junqiang,HUA Jun,et al. Investigation of the source and improvement of non-physical solutions in high-order harmonic balance[J]. Chinese Journal of Theoretical and Applied Mechanics,2016,48(4): 897-906. (in Chinese
LIU Nan, BAI Junqiang, HUA Jun, et al. Investigation of the source and improvement of non-physical solutions in high-order harmonic balance[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 897-906. (in Chinese)
|
| [18] |
LI Hang,EKICI K. Improved one-shot approach for modeling viscous transonic limit cycle oscillations[J]. AIAA Journal,2018,56(8): 3138-3152.
|
| [19] |
SAAD Y. Iterative methods for sparse linear systems [M]. Second Edition. Philadelphia,US: Society for Industrial and Applied Mathematics, 2003.
|
DownLoad:
