基于遗传算法反求耳结构弹性模量

本研究通过力学反问题原理,利用已知的位移求解耳结构弹性模量。随机产生遗传算法的初始种群,使用自编的Matlab算法程序,对初始种群进行遗传迭代计算,把已知的目标位移与种群位移的均方差作为目标函数,以目标函数值最小控制迭代进化的方向。通过耳结构的鼓膜凸和镫骨底板2个控制位移以及砧镫关节周围的8个控制位移这两个算例求解正常砧镫关节的弹性模量,并使用耳结构的鼓膜凸和镫骨底板2个控制位移求解病变砧镫关节的弹性模量。结果表明,使用基于遗传算法的反问题方法计算耳结构的弹性模量是可行的,并且具有稳定性和不受结构力学性能影响的特点,相对误差分别为0.05%和0.2%、0.03%,可为临床病变耳提供有效的力学参数。

Inverse Derivative of Elastic Modulus For Human Ear Using Genetic-Algorithm

The objective of this paper is to calculate the elastic modulus of the ear structure by the known displacement based on inverse problem theory of mechanics.The initial population of the genetic algorithm was generated in random.Genetic iterative calculation was carried out on the initial population by a self-compiling program using MATLAB language.The target function was the mean-square deviation between the known displacement and the displacement of the population.We completed the following work by the calculation example:The elastic modulus of the normal incudostapedial joint was obtained by two controlled displacements of umbo membrane tympani and stapes footplate of human ear.The elastic modulus of the normal incudostapedial joint was obtained by eight controlled displacements around incudostapedial joint.The elastic modulus of the diseased incudostapedial joint was obtained by two controlled displacements of umbo membrane tympani and stapes footplate of human ear.Results showed that it was feasible to calculate the elastic modulus of the ear structure by the inverse problem method based on genetic algorithm,which has the advantage of stability and independence of structure mechanical property.The relative errors were 0.05%,0.2%,and 0.03% respectively,which supplied valid mechanical parameters for diseased human ear in clinic.