Theoretical analysis, numerical calculation and experimental measurement of transient elastic waves in strips subjected to dynamic loadings
This paper presents a matrix expansion method for analyzing transient waves generated by dynamic loading in a strip. The unknown coefficients of the wave potential in Laplace-transformed domain are determined from the boundary conditions on both surfaces of the strip. The transient solution in time domain is written out by using the Cagniard's method with a suitable coding of all the waves. The exact analytic transient results obtained in this study are expressed in a simple closed series, each term representing a physical transient wave. The authors present in detail numerical investigations of transient responses for displacements and stresses in the strip subjected to a dynamic point force. Additionally, an experimental investigation is performed to measure the vertical displacements of surfaces of the strip under sudden dynamic loads. The agreement between the theoretical results and experimentally measured responses is excellent, which makes the present study suitable for the inverse evaluation of material constants.
scientific article; zbMATH DE number 1341412