Accession Number : AD0846734

Title :   On Elastic Wave Propagation in Truncated Conical Shells.

Descriptive Note : Technical rept., Oct 65-Sep 68,

Corporate Author : NEW MEXICO UNIV ALBUQUERQUE DEPT OF MECHANICAL ENGINEERING

Personal Author(s) : Albrecht, B. ; Dove, R. C. ; Sonnenburg, P. N.

Report Date : DEC 1968

Pagination or Media Count : 127

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)

Descriptors :   *MECHANICAL WAVES), (*SHELLS(STRUCTURAL FORMS), WAVE PROPAGATION, STRAIN GAGES, STRAIN(MECHANICS), FREQUENCY, INTEGRAL TRANSFORMS, BESSEL FUNCTIONS, CONICAL BODIES.

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE