A modified tree seeds algorithm (TSA) was proposed to solve structural stiffness and mass damage identification problems. Firstly, a structure’s acceleration response parameters were used to establish an objective function, and then the TSA with fractional dimension embedded was used to do inversion of the structure’s damages. TSA was a heuristic algorithm with a simple structure and easy to implement. In order to further improve its optimization capacity, a fully new search stage named “search with tree” was introduced. In this stage, a fractional dimension model was introduced to improve the convergence ability in later of TSA. After entering tree seeds stage, two new search modes were used to balance the local search ability and the global search one. A truss structure was taken as a numerical example to obtain its identification results. The results showed that the proposed method can effectively identify a structure’s damage parameters if only limited time domain parameters are known; it is superior to other algorithms and not sensitive to measuring noise.
赵一霖,刘济科,丁政豪,吕中荣. 基于嵌入分数维的树种算法的结构质量刚度识别[J]. 振动与冲击, 2018, 37(15): 246-250.
ZHAO Yilin, LIU Jike, DING Zhenghao, L Zhongrong. Structural mass and stiffness damage identification based on TSA with fractional dimension embedded. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(15): 246-250.
[1] Parloo. E, Guillaume. P, Overmeire. M.V., Damage assessment using mode shape sensitivities [J]. Mechanical Systems and Signal Processing, 2003, 17: 499-518.
[2] Lu. Z.R., Law. S.S., Features of dynamic response sensitivity and its application in damage detection [J]. Journal of Sound and Vibration, 2007, 303: 305-329.
[3] Ding. Z.H., Huang. M., Lu. Z.R., Structural damage detection using artificial bee colony algorithm with hybrid search strategy[J], Swarm and Evolutionary Computation,2016,28: 1-13.
[4] Sinha JK, Friswell MI, Edwards S. Simplified models for the location of cracks in beam structures using measured vibration data [J]. Journal of Sound and Vibration, 2002, 251(1): 13-38.
[5] Shen MHH, Taylor JE, Identification problem for vibrating cracked beams [J]. Journal of Sound and Vibration, 1991,150(3): 457-484.
[6] 丁政豪,吕中荣,刘济科,基于差分人工蜂群算法的梁结构裂纹识别 [J], 振动与冲击, 35(11): 74-78.
(Ding. Z.H., Lv. Z.R., Liu. J.K., crack identification for beams based on differential evolutionary ABC algorithm [J], Journal of Vibration and Shock, 35(11): 74-78).
[7] 丁政豪,徐浩杰,刘济科,吕中荣,基于混沌人工蜂群算法的结构损伤识别 [J], 中山大学学报,54(5):39-42.
(Ding. Z.H., Xu. H.J., Liu. J.K. Lv. Z.R., Structural damage identification based on chaotic ABC algorithm [J], ACTA Scientiarum Naturalium Universities Sun Yan-Sen, 54(5): 39-42.)
[8] H. Sun, H. Lus, R. Betti, Identification of structural models using a modified Artificial Bee Colony algorithm, Computers and Structures 116 (2013) :59-74.
[9] H.Y. Guo, Z.L. Li, A two-stage method to identify structural damage sites and extents by using evidence theory and micro-search genetic algorithm, Mechanical System and Signal
Processing, 23(3) (2011) :769-782.
[10] U.I. Dackermann, W.A. Smith, R.B. Randall, Damage identification based on response-only Measurements using cepstrum analysis and artificial neural network, Structural Health Monitoring 13(4) (2014) :430-444.
[11] Gökdağ. H, A crack identification approach for beam-like structures under moving vehicle using particle swarm optimization, Materials Testing 2014, 55(2):114-120.
[12] Kiran. M.S. TSA: Tree-seed algorithm for continuous optimization [J]. Expert Systems with Applications, 2015, 42: 6686-6698.
[13] Yang. X.S, Firefly Algorithm, stochastic test functions and design optimization [J], International Journal of Bio-Inspired Commutation, 2010, 2(02), 78-84.
[14] Li, X.T., Yin, M.H.: Parameter estimation for chaotic systems by hybrid differential evolution algorithm and artificial bee colony algorithm [J]. Nonlinear Dyn. 2014, 77, 61-71.
[15] Gao. W, Liu. S, Huang. L, A global best artificial bee colony algorithm for global optimization [J]. Journal of Computational and Applied Mathematics,2012, 236: 2741-2753.
[16] X.B. Lu, J.K. Liu and Z.R. Lu, A two-step approach for crack identification in beam, Journal of Sound and Vibration 332(2013) 282-293.
[17] Fei Kang, Jun-jie Li, Qing Xu, Damage detection based on improved particle swarm optimization using vibration data, Applied Soft Computing 12(2012) 2329-2335.