中文摘要：

研究了具有平方非线性刚度和平方非线性阻尼的两自由度局部非线性振动系统，提出了一种参数识别局部非线性振动系统模型的空间法．该方法有效地利用模型的时间函数、频率函数和空间参数，使参数识别更为准确．利用该方法对非线性频响函数进行估计，并利用了最小二乘法对模型的非线性刚度系数和非线性阻尼系数进行了优化．

英文摘要：

2-degree-of-freedom locally nonlinear vibrating system with quadratic nonlinear stiffness and damping was studied, spatial approach which was used to parametrically identify the nonlinear vibration model was presented. The approach made parameter identification more accuracy by utilizing the time and frequency function, and spatial paramenter of the model effectively. By which linear and nonlinear frequency response function was estimated, and nonlinear stiffness coefficient and damping coefficient of the model were optimized by least square method in this paper.