On Elastic Wave Propagation in Truncated Conical Shells.
Abstract
The properties of elastic wave propagation in thin truncated conical shells were studied. Theoretical results were compared with experimental data obtained by impacting a truncated shell with a steel ball. The method of solving the equations yielded continuous waveforms which could be compared directly with strain gage data. The general simultaneous equations for the conical shell were obtained and reduced to a single equation with longitudinal displacement as the unknown. Singularities were analyzed for physical meaning and simplifications were made by considering the low and high frequency ranges separately. Dependence on the conical angle and Poisson's ratio was not lost. The simplified equations were identified as special cases of the multidimensional wave equation, which has been studied previously in other branches of physics. Recognition of the general wave equation led to an investigation of wave propagation in multidimensional (abstract) space. Of the two unique types of solutions known to be available, the solution for radiating waves was found to be applicable and compared favorably with the experimental data. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1968
- Accession Number
- AD0846734
Entities
People
- B. Albrecht
- P. N. Sonnenburg
- R. C. Dove
Organizations
- University of New Mexico