This paper focuses on the dynamic response of three asymmetric and nonlinear packaging systems (ANPSs) of practical transport package under random excitation. Next to presenting the displacement probability density functions (PDFs) of ANPSs derived through FPK equations, the influences of the excitation grades and the characteristic parameters (such as the damping, the nonlinear stiffness, and the strain) of packaging cushion materials on the response are discussed in detail. Then, the generalized PDFs of the response peaks are defined and examined by three common distributions. The investigation shows that “inverse excitation cushion factors” (IECFs) have a significance on effecting the displacement PDFs approaching different distributions. Most PDFs of the unilateral response peaks approach Rayleigh distributions and present non-Gaussian characters. The present methods are verified through the validation numerical solutions. Furthermore, the application of the scheme for fatigue damage evaluation of the transport package is carried out.

中文翻译：

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随机激励下非对称非线性包装系统的动力响应

本文着眼于随机激励下三种实际运输包装的非对称和非线性包装系统（ANPS）的动态响应。在介绍通过FPK方程得出的ANPS的位移概率密度函数（PDF）之外，还考虑了激励等级和包装缓冲材料的特征参数（例如阻尼，非线性刚度和应变）对响应的影响。详细讨论。然后，定义了响应峰的广义PDF并通过三个常见分布进行了检查。研究表明，“反激励缓冲因子”（IECF）对于影响接近不同分布的位移PDF具有重要意义。大多数单边响应峰的PDF接近瑞利分布并呈现非高斯性。通过验证数值解验证了本方法。此外，执行该方案用于运输包装的疲劳损伤评估。