阻尼减振材料滞弹性位移场模型参数寻优及计算

针对阻尼材料滞弹性位移场模型多参数、多目标、非线性优化问题，给出了一种粒子群算法与序列二次规划法相结合的多参数变量寻优解法，并将模型优化结果与标准流变学模型、分数导数模型及试验结果进行了比较。基于ADF数学模型建立了粘弹性集中参数系统及阻尼夹芯板结构的动力学方程，并进行了结构模态响应分析及阻尼预测。计算结果表明：该组合寻优解法不仅能得到较好的最优解，而且确定出的模型参数准确可信,优化后的ADF模型能很好的再现阻尼材料的本构特征。

Parameter optimization and calculation of ADF model for vibration damping material

An optimization algorithm which is composed of particle swarm optimization(PSO) and sequential quadratic programming (SQP) algorithm is presented for the multi-Parameter, multi-objective,nonlinear optimization of ADF model of structure damping material. The results are compared with those of standard rheologic model and fractional derivative model as well as the experiment results. Based on the ADF mathematical model, the dynamic models of viscoelastic lumped parameter system and damping sandwich board are established, and the modal analysis and damping prediction are done. The results show that this method can not only obtain the better optimum solution, but also get the accurate and reliable value which will correctly describe the constitutive characteristics of damping material.