The Dynamics of Clattering II: Global Results and Shock Protection

Abstract
The study of “clattering” motion, that occurs when flat objects strike the ground at an oblique angle, is continued. Previously derived equations of motion are solved for values of several clattering quantities (like total number of impacts, maximum velocity jumps in the sequence, time-durations, etc.) for any value of system parameters and initial conditions. The plotted results are examined for their relevance to shock protection. To improve the drop-tolerance of portable products, it is advised that fragile components be located close to the center of mass of the product; that the product be given a low radius of gyration by placing the heavier components, and perhaps even superfluous mass, toward the middle; and that any hard casing be designed (in terms of material and structure) to minimize its effective coefficient of restitution.