Accession Number : AD0824905

Title :   A PERTURBATION PROCEDURE FOR THE SOLUTION OF COUPLED, NONLINEAR, MULTI-DEGREE-OF-FREEDOM SHOCK ISOLATION SYSTEMS.

Descriptive Note : Rept. for 22 Dec 63-25 May 67,

Corporate Author : PARSONS (RALPH M) CO LOS ANGELES CA

Personal Author(s) : Bycroft, G. N.

Report Date : DEC 1967

Pagination or Media Count : 79

Abstract : The design of shock isolators for missile supports in silos often results in a nonlinear multi-degree-of-freedom system. The modes of a nonlinear system are necessarily coupled because, in general, no system of coordinates can be found which will give uncoupled motion of these coordinates. The nonlinearities arise from either the geometry of the system, e.g., large motion of pendulum-type supports, or from the use of components which have nonlinear stiffness or damping characteristics. The transient oscillations of such systems subject to general input acceleration have not been amenable to an analytic solution. This report develops a perturbation procedure for the solution of such problems when the 'coupling' is small. This analytical procedure, although very complex in general, reduces to relatively simple terms for some cases of considerable practical importance. These cases are compared with an 'exact' computer solution and good agreement is found. The work does not apply solely to shock isolation systems but relates to any multi-degree-of-freedom system where the reactive components are of the Duffing type. (Author)

Descriptors :   (*GUIDED MISSILE LAUNCHERS, GUIDED MISSILE SILOS), (*GUIDED MISSILE SILOS, SHOCK(MECHANICS)), MOTION, LAUNCHING, COMPUTER PROGRAMS, UNDERGROUND STRUCTURES, DAMPING, OSCILLATION, MATHEMATICAL ANALYSIS, PERTURBATION THEORY, NONLINEAR SYSTEMS, RESONANCE, INTERACTIONS, SHOCK ABSORBERS.

Subject Categories : Guided Missile Launching and Basing Support
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE