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Mechanical Response of Stiff Spherical Components in a Compliant Medium of a Closed System under Externally Applied Impact Loading

机译:外加冲击载荷下闭合系统柔性介质中刚性球形件的力学响应

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摘要

In this work, a system consisting of a stiff rectangular enclosure housing, a compliant medium, and a set of stiff spherical masses embedded in the medium is subjected to an externally applied impact shock load. While the stress waves that are generated in a medium of this closed system are also imposed on components embedded within the medium, the embedded components disrupt the stress waves that are propagated through and reflected in the medium. They, therefore, alter the local magnitudes and timing of the dynamic system response and have the potential to significantly affect the behavior of the medium within the closed system undergoing shock or impact-like loads. The stresses imparted by the medium on the components and the alterations to the structural response of the closed system due to these included masses are functions not only of the mechanical properties, sizes, and shapes of the embedded components but also of the number of components included and their locations and relative arrangement within the medium of the closed system. Because design requirements may place fewer restrictions on the number of embedded components and their placement within the medium than on their material or geometry, these parameters are the focus of this computational parametric study. The system studied is subjected to an acceleration load of approximately 10,000 G. The surface averaged contact pressure at each wall and over each embedded component, the relative movements of the medium and the components, and the total energy changes are compared for systems consisting of a uniform compliant medium alone or one, two, or four embedded stiff spherical components in various arrangements. All spherical components have the same density as the more compliant medium as does the bounding housing structure. However, the elastic modulus of the compliant medium is three to four orders of magnitude lower than that of the other system components. Through the study, a better understanding

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