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中文摘要：
利用光滑函数和有限元技术,建立了求解弹性双模量桁架结构的正问题数值模型,推导了敏度计算公式,并采用Newton-Raphson算法进行求解,在正问题建模的基础上,利用蚁群算法对拉压弹性模量进行识别,并探讨了参数取值范围和数据噪音对识别结果的影响,计算结果表明蚁群算法可有效地求解不同模量桁架反问题。
英文摘要：
A new smoothed elastic bimodular constitutive relationship is presented, thus the sensitivity of stiffness matrix with respect to displacement 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, the identification of bimodulus is realized via an ant colony algorithm. Numerical verification with noisy data is provided with satisfactory results.
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