Accession Number:

AD0728819

Title:

Application of a Variational Method to Dissipative, Nonconservative Problems of Elastic Stability.

Descriptive Note:

Technical rept.,

Corporate Author:

WATERVLIET ARSENAL N Y

Personal Author(s):

Report Date:

1971-08-01

Pagination or Media Count:

52.0

Abstract:

The nonconservative stability problems of Beck and Leipholz, consisting of an elastic cantilevered beam subjected to a concentrated follower force acting at the free end and to a tangential force uniformly distributed along the length of the beam, respectively, are formulated with velocity-dependent internal and external damping forces included. The respective adjoint boundary value problems are derived and are used in developing variational formulations of the original boundary value problems. Because of the difficulty of solving the original problems exactly, the variational principles are used as the foundations for solving the problems approximately, the procedure being closely related to the well-known Ritz method that is applicable to nondissipative, conservative problems of elastic stability. It is found that internal damping may be either of a stabilizing or destabilizing nature, depending upon the magnitude of the external damping parameter. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE