+ Visit NASA.gov + Contact NASA   + Home Collection > NASA  Author > Mortimer, R. W.  Author > Rose, J. L.  Author > Schaller, R. J.  NASA Center > NASA (non Center Specific)  Publication Year > 1971-1980 > 1972  Subject > P-R > Physics, General  Availability Options > Order From Other Sources  Item/Media Type > Conference Paper  Item/Media Type > NASA Report > Contractor Report (CR)  Note: Start a new navigation search by selecting a link above     Previous Record | Next Record + Back to Results   + Printer Friendly Title: Transient axisymmetric motions of a conical bar. Author(s): Mortimer, R. W.; Rose, J. L.; Schaller, R. J. Abstract: Three bar of revolution theories are developed. The most inclusive theory is equivalent to the Mindlin-McNiven theory for circular bars in that it includes radial, axial shear, and longitudinal modes. By removing the axial shear mode in the foregoing, a theory equivalent to the Mindlin-Herrmann theory for circular bars is obtained. Finally, by eliminating all the radial effects in this latter theory, a simple theory incorporating only longitudinal effects is obtained. Each of these three theories is then specialized for a conical geometry and solved by the method of characteristics for the case of a longitudinal impact. The solutions for each of these theories are then compared to published surface meridional strain and internal strain data. In addition, the importance of impact pulse duration in establishing the validity of the approximate bar theories for impact problems is analytically indicated. NASA Center: NASA (non Center Specific) Publication Date: Jun 1, 1972 Document Source: Other Sources No Digital Version Available: Go to Tips On Ordering Document ID: 19720051131 Accession ID: 72A34797 Publication Information: Number of Pages = 8 Report Number: ASME PAPER 72-APM-20 Contract-Grant-Task Number: NGR-30-004-013 Meeting Information: American Society of Mechanical Engineers, Applied Mechanics Summer Conference, University of California, June 26-28, 1972, La Jolla, CA Keywords: BARS; BODY KINEMATICS; CONICAL BODIES; EQUATIONS OF MOTION; BOUNDARY VALUE PROBLEMS; CONFERENCES; CONSTITUTIVE EQUATIONS; KINETIC ENERGY; METHOD OF CHARACTERISTICS; PULSE DURATION; STRESS DISTRIBUTION; Notes: American Society of Mechanical Engineers, Applied Mechanics Summer Conference, University of California, La Jolla, Calif., June 26-28, 1972, 8 p. Research supported by the Westinghouse Electric Corp.; Accessibility: Unclassified; Copyright; Unlimited; Publicly available; Updated/Added to NTRS: 2004-11-03 + Back to Top + Sponsored by the NASA Scientific and Technical    Information Program + 2004 Vision for Space Exploration + Freedom of Information Act + NASA Web Privacy Policy and Important Notices + NASA Disclaimers, Copyright Notice,    and Terms and Conditions of Use NASA Official: Calvin Mackey Page Curator: NASA Center for AeroSpace Information (help@sti.nasa.gov) Last Updated: July 5, 2007