CAJ | 학술논문

数值建模和分析在结构动态设计中应用广泛，为获取准确的计算模型，基于参数灵敏度有限元修正技术得到迅速发展。然而，参数灵敏度矩阵病态性和修正目标函数方程组的不适定性，造成最小二乘直接法难以得到稳定的物理解。为此，对灵敏度矩阵的病态和模型优化方程组的不适定性进行研究，以铁道车辆6自由度离散模型和有限元支架模型为载体，采用 Tikhonov 正则化方法分别完成了超定系统和欠定系统仿真模型的参数修正。从而，解决了病态不适定系统中最小二乘直接法无稳定物理解的缺陷。参数修正后的模型准确反应了实际结构的尺寸差别和质量，这表明该方法具有实际的应用价值。
수치건모화분석재결구동태설계중응용엄범，위획취준학적계산모형，기우삼수령민도유한원수정기술득도신속발전。연이，삼수령민도구진병태성화수정목표함수방정조적불괄정성，조성최소이승직접법난이득도은정적물리해。위차，대령민도구진적병태화모형우화방정조적불괄정성진행연구，이철도차량6자유도리산모형화유한원지가모형위재체，채용 Tikhonov 정칙화방법분별완성료초정계통화흠정계통방진모형적삼수수정。종이，해결료병태불괄정계통중최소이승직접법무은정물리해적결함。삼수수정후적모형준학반응료실제결구적척촌차별화질량，저표명해방법구유실제적응용개치。
Along with the wide application of numerical analysis and modeling,getting a correct simulation model becomes an urgent requirement and consequently the parameter-sensitivity updating method has been developed rapidly. The direct least square method can't always get the steady physical solution in the cases of ill-posed target function equations and ill-conditioned sensitivity matrixes.The ill characteristics of the sensitivity matrixes and target function equations were investigated.A six-DOF discrete vehicle and a frame finite element model were updated with the Tikhonov regulation method by using the over determined and under determined simulation model respectively.The defect of the direct least square method was solved.The updated models reflect exactly the real mass and the size difference.of the structure.It's proved that the method is applicable in engineering practice.