基于BMO算法的梁冲击荷载识别
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摘要
采用新兴群智能优化算法(bird mating optimizer,BMO),对作用于梁上的三角冲击荷载参数进行识别。建立梁的动力学方程,并用有限元法进行离散,获得其受冲击荷载时所产生的动态响应。然后,将参数识别反问题转化为一个优化问题,基于响应的计算值与相应的测量值误差的最小二乘构造目标函数。通过BMO算法对目标函数进行寻优求解,获得冲击荷载的位置、大小和作用时间几个参数。研究表明:在噪声条件下提出的方法也能成功识别作用于梁上各位置的三角冲击荷载,且BMO优于其他传统元启发式算法,具有一定的工程应用前景。
An identification method of triangular impulse force based on BMO is proposed.In the study the dynamic response equation of the beam is constructed first,to obtain the dynamic responses of the beam under impulse load,the structure is further discretized by finite element method.The parameter identification problem will be treated as an optimization of an objective function based on the deviation of responses between calculated and measured.Bird mating optimizer is utilized to solve the optimization.Four parameters,the location,maximum magnitude,load time and unload time are identified successfully,additional results show that the proposed method is capable to identify the parameters precisely even under noise affection,and BMO achieve better results than other traditional heuristic algorithms,which shows a potential in practical application.
An identification method of triangular impulse force based on BMO is proposed.In the study the dynamic response equation of the beam is constructed first,to obtain the dynamic responses of the beam under impulse load,the structure is further discretized by finite element method.The parameter identification problem will be treated as an optimization of an objective function based on the deviation of responses between calculated and measured.Bird mating optimizer is utilized to solve the optimization.Four parameters,the location,maximum magnitude,load time and unload time are identified successfully,additional results show that the proposed method is capable to identify the parameters precisely even under noise affection,and BMO achieve better results than other traditional heuristic algorithms,which shows a potential in practical application.
引文
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[8]ZHU X Q,LAW S S.Moving load identification on multispan continuous bridges with elastic bearings[J].Mchannical Systems and Signal Processing,2006(20):1759-1782.
[9]GUNAWAN F E,HOMMA H,MORISAWA Y.Impactforce estimation by quadratic spline approximation[J].Journal of Solid Mechanics and Materials Engineering,2008(2):1092-1103.
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[11]JONES R T,SIRKIS J S,FRIEBELE E J.Detection of impact location and magnitude for isotropic plates using neural networks[J].Journal of Intelligent Material Systems and Structures,1997,8(1):90-99.
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[13]WORDEN K,STASZEWSKI W J.Impact location and quantification on a composite panel using neural networks and a genetic algorithm[J].Strain,2000,36(2):61-70.
[14]HASHEMI R,KARGARNOVIN M H.Vibration base identification of impact force using genetic algorithm[J].International Journal of Mechanical Systems Science and Engineering,2007(1):204-210.
[15]ASKARZADEH A.Bird mating optimizer:AN optimization algorithm inspired by bird mating strategies[J].Communications in Nonlinear Science and Numerical Simulation,2014,19(4):1213-1228.
[16]ASKARZADEH A.Parameter estimation of fuel cell polarization curve using BMO algorithm[J].International Journal of Hydrogen Energy,2013,38(35):15405-15413.
[17]ASKARZADEH A,REZAZADEH A.Extraction of maximum power point in solar cells using bird mating optimizer-based parameters identification approach[J].Solar Energy,2013,90(4):123-133.
[2]STEVENS K K.Force identification problems[C]∥Proceedings of the SEM Conference on Experimental Mechanics.Houston,USA,1987:14-19.
[3]CHIO K,CHANG F K.Identification of impact force and location using distributed sensors[J].AIAA Journal,1996,34(1):136-142.
[4]GAUL L,HURLEBAUS S.Identification of of the impact;ocation on a plate using wavelets[J].Mechanical Systems and Signal Processing,1998,12(6):783-795.
[5]GAUL L,HURLEBAUS S.Determination of the impact force on a plate by piezoelectric film sensors[J].Archive of Applied Mechanics,1999,69(9-10):691-701.
[6]TRACY M,CHANG F K.Identifying impacts in composite plates with piezoelectric strain sensors,PartⅠ:theory[J].Journal of Intelligent Material Systems and Structures,1999,10(1):354-369.
[7]MATSUMOTO S,FUKUNAGA H.Impact force identification of plates using PZT piezoelectric sensors[C]∥WUZ S,ABE M.Proceeding of the First International Conference on Structural Health Monitoring and Intelligent Infrastructure.Tokyo,Japan,2003:837-845.
[8]ZHU X Q,LAW S S.Moving load identification on multispan continuous bridges with elastic bearings[J].Mchannical Systems and Signal Processing,2006(20):1759-1782.
[9]GUNAWAN F E,HOMMA H,MORISAWA Y.Impactforce estimation by quadratic spline approximation[J].Journal of Solid Mechanics and Materials Engineering,2008(2):1092-1103.
[10]LU Z R,LAW S S.Identification of system parameters and input force from output only[J].Mechanical Systems and Signal Processing,2007(21):2099-2111.
[11]JONES R T,SIRKIS J S,FRIEBELE E J.Detection of impact location and magnitude for isotropic plates using neural networks[J].Journal of Intelligent Material Systems and Structures,1997,8(1):90-99.
[12]SUNG D U,OH J H,KIM C G,et al.Impact monitoring of smart composite laminates using neural network and wavelet analysis[J].Journal of Intelligent Material Systems and Structures,2000,11(3):180-190.
[13]WORDEN K,STASZEWSKI W J.Impact location and quantification on a composite panel using neural networks and a genetic algorithm[J].Strain,2000,36(2):61-70.
[14]HASHEMI R,KARGARNOVIN M H.Vibration base identification of impact force using genetic algorithm[J].International Journal of Mechanical Systems Science and Engineering,2007(1):204-210.
[15]ASKARZADEH A.Bird mating optimizer:AN optimization algorithm inspired by bird mating strategies[J].Communications in Nonlinear Science and Numerical Simulation,2014,19(4):1213-1228.
[16]ASKARZADEH A.Parameter estimation of fuel cell polarization curve using BMO algorithm[J].International Journal of Hydrogen Energy,2013,38(35):15405-15413.
[17]ASKARZADEH A,REZAZADEH A.Extraction of maximum power point in solar cells using bird mating optimizer-based parameters identification approach[J].Solar Energy,2013,90(4):123-133.