CAJ | 학술논문

利用光滑函数和有限元技术,建立了求解双弹性模量桁架结构正问题的数值模型,可方便推导刚度对位移、位移对弹性模量的敏度计算公式.在此基础上,发展了一种基于两级敏度分析求解双弹性模量桁架结构反问题的数值模型,正问题与反问题分别采用Newton-Raphson与Gauss-Newton算法进行求解,数值验证给出了令人满意的结果,并考虑了数据噪音的影响.
이용광활함수화유한원기술,건립료구해쌍탄성모량항가결구정문제적수치모형,가방편추도강도대위이、위이대탄성모량적민도계산공식.재차기출상,발전료일충기우량급민도분석구해쌍탄성모량항가결구반문제적수치모형,정문제여반문제분별채용Newton-Raphson여Gauss-Newton산법진행구해,수치험증급출료령인만의적결과,병고필료수거조음적영향.
A new smooth elastic bimodular constitutive relationship is presented,therefore the sensitivity of stiffness matrix with respect to displacement and the sensitivity of displacement with respect to elastic modulus can be obtained conveniently.A FEM and sensitivity analysis based numerical model is developed to solve direct problems of truss structures with dual extensional/compressive modulus,and Newton-Raphson algorithm is employed in the solution process.By utilizing the solutions of direct problems,a two level sensitivity analysis based algorithm is presented for the identification of bimodulus,Gauss-Newton algorithm is used in the identification.Numerical verification with noisy data is provided with satisfactory results.