包装系统非线性特性识别方法

Identification Method of Nonlinear Properties in Packaging System

目的建立一种能同时识别包装系统中非线性弹性和非线性阻尼特性的方法。方法首先将单自由度包装系统运动方程式推导为第1类Volterra非线性积分方程式,为在包含噪声的条件下准确求出方程的解,采用Landweber迭代正则化方法求解该积分方程,由于迭代次数对求解结果的准确性有很大的影响,文中采用L曲线准则确定迭代的次数。在求解Volterra方程后,利用方程的解和系统自由响应数据同时识别包装系统非线性弹性和非线性阻尼。结果文中采用一个数字实例验证了该方法的准确性。结论文中提出的方法可有效识别包装系统的非线性特性。

The work aims to establish a method to simultaneously identify the nonlinear elasticity and non-linear damping properties in the packaging system. First, the motion equation of packaging system of single degree of freedom was deduced as Volterra nonlinear integral equation of first kind. The Landweber iteration regularization method was adopted to find the accurate solution of the Volterra integral equation in the noisy background. Since the number of the iterations had great effects on the accuracy of the solution, the L-curve criterion was used to determine the appropriate iteration number. After solving the Voterra equation, the free response data of the packaging system as well as the solution of Voterra equation was used to identify nonlinear elasticity and non-linear damping properties simultaneously. The accu- racy of this method was investigated through a digital example. The method proposed in this paper can be used to effec- tively identify the nonlinearity of the packaging system.