水利与建筑工程学报
水利與建築工程學報
수리여건축공정학보
TECHNIQUE OF SEEPAGE CONTROL
2015年
3期
12-16
,共5页
荷载识别%简支板桥%Tikhonov 正则化方法
荷載識彆%簡支闆橋%Tikhonov 正則化方法
하재식별%간지판교%Tikhonov 정칙화방법
load identification%simply supported slab bridge%Tikhonov regularization method
根据正交异性板理论和模态叠加法,推导了移动荷载作用下简支板桥的荷载识别方程。为了解决识别方程病态问题,考虑 Tikhonov 正则化方法,选择最优正则参数值,从而得到方程的正则化解。为了验证 Tikhonov 正则化方法的有效性,进行了简支板桥的移动荷载识别模型实验,通过实验确定不同速度车辆经过板桥时的应变响应历程,并将所测得数据代入识别方程求得车辆荷载信息。实验和计算结果对比表明,通过引进 Tikhonov 正则化方法可以获得识别方程的稳定解,提高识别精度,识别结果与实际小车重量吻合较好。
根據正交異性闆理論和模態疊加法,推導瞭移動荷載作用下簡支闆橋的荷載識彆方程。為瞭解決識彆方程病態問題,攷慮 Tikhonov 正則化方法,選擇最優正則參數值,從而得到方程的正則化解。為瞭驗證 Tikhonov 正則化方法的有效性,進行瞭簡支闆橋的移動荷載識彆模型實驗,通過實驗確定不同速度車輛經過闆橋時的應變響應歷程,併將所測得數據代入識彆方程求得車輛荷載信息。實驗和計算結果對比錶明,通過引進 Tikhonov 正則化方法可以穫得識彆方程的穩定解,提高識彆精度,識彆結果與實際小車重量吻閤較好。
근거정교이성판이론화모태첩가법,추도료이동하재작용하간지판교적하재식별방정。위료해결식별방정병태문제,고필 Tikhonov 정칙화방법,선택최우정칙삼수치,종이득도방정적정칙화해。위료험증 Tikhonov 정칙화방법적유효성,진행료간지판교적이동하재식별모형실험,통과실험학정불동속도차량경과판교시적응변향응역정,병장소측득수거대입식별방정구득차량하재신식。실험화계산결과대비표명,통과인진 Tikhonov 정칙화방법가이획득식별방정적은정해,제고식별정도,식별결과여실제소차중량문합교호。
Based on the orthotropic plate theory and the modal superposition method ,the load identification equations for simply supported slab bridges subjected to moving loads were deduced .Tikhonov regularization method was applied to solve the ill conditioned moving load identification equations ,through which an optimal regularization parameter was se-lected to obtain the solution of regularization .In order to check the validity of Tikhonov regularization method ,the moving loads identification model of a simply supported slab bridge was established in the experiment .The strain history was ob-tained when the model truck passed through the bridge at different speeds .Then ,the measured data was substituted into the identification equations to get the load information .The calculation results indicate that the identification results are in good agreement with the actual weight of the model truck ,which means that the Tikhonov regularization method is ef-fective in obtaining a stable solution for load identification equations with improved accuracy .