Abstract
To evaluate the shock characteristics of critical component for a nonlinear packaging system, a new concept of three-dimensional shock spectrum was proposed. Three key coordinate parameters, such as the nondimensional pulse duration, the frequency parameter ratio and the ratio of the maximum response acceleration to the peak pulse acceleration, were governed in a novel dynamical mathematical model. It is shown that the shock response of critical component is weakened owning to the decrease in the defined system parameter. Furthermore, at low frequency parameter ratio, the enhancement of the damping ratio of the critical component leads to the decrease in the peak of the shock response, which can also be reduced by the increase in damping ratio of cushioning pad at both lower and higher frequency parameter ratios. The discussion and analysis provide some insights into the design of cushioning packaging as well.
Highlights
The two-dimensional damage boundary concept (DBC) proposed by Newton [1] is the foundation for the present packaging design
The objective of this paper is to develop a damage evaluation approach for typical nonlinear packaging system with critical component
The model of packaging system with critical component is depicted in Fig. 1, in which the packaging is idealized as a nonlinear spring with stiffness coefficient k2 and damping ratio c2
Summary
The two-dimensional damage boundary concept (DBC) proposed by Newton [1] is the foundation for the present packaging design. Some basic assumptions of this theory has been questioned: (1) the product packaging system was considered to be linear, undamped spring-mass single-degree-of-freedom system; (2) there were no restrictions to the deformation of cushioning pad. Since the damage boundary is a very conservative approach to evaluate the damage potential of shock to product, the concept of shock response spectrum [7] (SRS) was introduced into packaging design from other engineering disciplines. Wang [8] suggested a general approach to obtain the SRS and DBC for a typical nonlinear packaging system and discussed the influencing factors of shock response of the packaged product.Daum [9] incorporated SRS with a fatigue model and extended the SRS concept to evaluate the damage potential of repetitive shocks to ductile products. The objective of this paper is to develop a damage evaluation approach for typical nonlinear packaging system with critical component
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