›› 2009, Vol. 30 ›› Issue (6): 1635-1638.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Parameter estimation method of fatigue damage model of rock

XIAO Jian-qing1, 2，DING De-xin3，JIANG Fu-liang1, 3，XU Gen1   

  1. 1. School of Resources and Safety Engineering, Central South University, Changsha 410083, China; 2. School of Mathematical and Physical Sciences, University of South China, Hengyang 421001, China; 3. School of Nuclear Resources and Safety Engineering, University of South China, Hengyang 421001, China
  • Received:2008-08-05 Online:2009-06-10 Published:2011-03-09

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Abstract:

Rock is a complex heterogeneous geological material with three-phase law in fatigue damage evolution. This law can be described well by inverted S-shaped nonlinear fatigue cumulative model. The parameters of this model under different stress levels must be determined before using it to calculate damage or analyze fatigue life. However, the calculating result indicates that the probability is very low for Levenberg-Marquardt method converging to optimal solution with arbitrary initial parameters. Therefore, a finite combination method is proposed to estimate initial parameters for Levenberg-Marquardt calculation. Initial points uniformly distributed in the feasible region of parameters are inputted for Levenberg-Marquardt calculation; and the set of parameters with minimum residual sum of squares is taken as final initial parameters. The results show that the set of initial parameters estimated by finite combination method is always effective for Levenberg-Marquardt method converging to optimal solution.

Key words: curve fitting, Levenberg-Marquardt method, finite combination method, fatigue cumulative damage

CLC Number: 

  • O346
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