\newif\ifdraft\draftfalse \newif\ifsand\sandtrue \SANDprintDate{\today} \SANDnum{SAND88-0616} \SANDauthor{G. D. Sjaardema and G. W. Wellman\\ Applied Mechanics Division I} \newcommand{\theTitle}{Numerical and Analytical Methods for Approximating the Eccentric Impact Response (Slapdown) of Deformable Bodies} \title{\theTitle} \ifsand \pdfbookmark[1]{Cover}{cover} \doCover \newpage \else \SANDmarks{cover} \setcounter{page}{3} \fi \pdfbookmark[1]{Title}{title} %\begin{titlepage} \begin{center} \SANDnumVar\\ \SANDreleaseTypeVar\\ \ifdraft Draft Date: \SANDprintDateVar\\ \else Printed \SANDprintDateVar\\ \fi \vspace{0.75in} \CoverFont{m}{24}{28pt} \theTitle\\ \vspace{0.5in} \CoverFont{m}{12}{14pt} \SANDauthorVar\\ Simulation Modeling Sciences Department\\ Sandia National Laboratories\\ Albuquerque, NM 87185-0380\\ \vspace*{.4in} \textbf{Abstract} \end{center} \vspace{-.4cm}\par Analytical and numerical methods have been developed to approximate the eccentric impact response of deformable bodies. The eccentric impact response is commonly known as {\em slapdown} since the off-center impact gives the body a rotational velocity which causes impact at the opposite end. A code, \SLAP , has been written to approximate the slapdown behavior of deformable bodies. The body is idealized as a three degree-of-freedom system with nonlinear impact behavior. Several parameters of interest to the analysis and design of laydown weapons were studied to determine their effects on the secondary impact velocities (slapdown). Parameters studied are aspect ratio of the body, stiffness of the initial impact, and friction between the target and the body. Rules for applying the results of scale model tests to full scale bodies are developed and confirmed for nonlinear spring behavior.