长沙理工大学学报(自然科学版)
長沙理工大學學報(自然科學版)
장사리공대학학보(자연과학판)
Journal of Changsha University of Science and Technology(Natural Science)
2014年
2期
43-47
,共5页
小波分析%遗传算法%小波-遗传算法%损伤位置%损伤程度
小波分析%遺傳算法%小波-遺傳算法%損傷位置%損傷程度
소파분석%유전산법%소파-유전산법%손상위치%손상정도
wavelet analysis%genetic algorithm%wavelet-genetic algorithm%damage posi-tion%damage degree
提出了小波-遗传算法的概念,建立了一种既能识别结构损伤位置、又能确定损伤程度的小波-遗传算法。首先,以有限元分析求解损伤结构振型模态为基础,用 db1小波做连续小波变换,由小波系数模极大值识别损伤的位置。然后,以单元刚度的折减系数为遗传算法的优化变量,用振型和频率的误差函数加权来构造目标函数,并通过损伤位置的确定来简化目标函数的变量,再用遗传算法对目标函数进行优化,从而确定结构的损伤程度。通过对一简支梁进行数值模拟分析,计算结果表明,提出的方法不仅能够有效识别损伤的位置,而且能够准确识别损伤程度。
提齣瞭小波-遺傳算法的概唸,建立瞭一種既能識彆結構損傷位置、又能確定損傷程度的小波-遺傳算法。首先,以有限元分析求解損傷結構振型模態為基礎,用 db1小波做連續小波變換,由小波繫數模極大值識彆損傷的位置。然後,以單元剛度的摺減繫數為遺傳算法的優化變量,用振型和頻率的誤差函數加權來構造目標函數,併通過損傷位置的確定來簡化目標函數的變量,再用遺傳算法對目標函數進行優化,從而確定結構的損傷程度。通過對一簡支樑進行數值模擬分析,計算結果錶明,提齣的方法不僅能夠有效識彆損傷的位置,而且能夠準確識彆損傷程度。
제출료소파-유전산법적개념,건립료일충기능식별결구손상위치、우능학정손상정도적소파-유전산법。수선,이유한원분석구해손상결구진형모태위기출,용 db1소파주련속소파변환,유소파계수모겁대치식별손상적위치。연후,이단원강도적절감계수위유전산법적우화변량,용진형화빈솔적오차함수가권래구조목표함수,병통과손상위치적학정래간화목표함수적변량,재용유전산법대목표함수진행우화,종이학정결구적손상정도。통과대일간지량진행수치모의분석,계산결과표명,제출적방법불부능구유효식별손상적위치,이차능구준학식별손상정도。
The concept of wavelet and genetic algorithm is put forward.An identification method of wavelet genetic algorithm which can identify both damage location and damage degree of structure is established.First,based on the damaged structure of vibration mode with the finite element analysis,using db1 wavelet to make the continuous wavelet trans-form,identify the damage location by wavelet series maximum.Then the reduction factor of element stiffness is put as optimization variables of genetic algorithm.Using the error func-tion of vibration mode and frequency to construct the obj ective function,the variables of the obj ective function are simplified through the determination of damage location.By optimi-zing the obj ective function with a genetic algorithm,the damage degree of structure can be determined.Through the numerical simulation analysis to a simply supported beam,the calculation results show that the proposed method not only can identify the damage location effectively but also can identify the extent of the inj ury accurately.