Accession Number:

AD0726378

Title:

The forced Motion of a Nonconservatively Loaded Elastic System.

Descriptive Note:

Technical rept.,

Corporate Author:

WATERVLIET ARSENAL N Y

Personal Author(s):

• Walter,Wayne W.

Report Date:

1971-04-01

Pagination or Media Count:

46.0

Abstract:

The solution of a non-self adjoint boundary value problem, having both time derivatives of the dependent variable and known time-dependent functions in the boundary conditions, is obtained by means of Williams method. Because the problem is nonself-adjoint, the usual form of the modified orthogonality condition for the eigenfunctions is no longer applicable, and must be replaced by a modified biorthogonality condition relating the eigne-functions of the original system to those of its adjoint. Plots of displacement versus time and mode shapes are given. In solving the problem, a heretofore unclear limitation of Williams method is pointed out. Author

Descriptors:

• (*BEAMS(STRUCTURAL)
• VIBRATION)
• BOUNDARY VALUE PROBLEMS
• EQUATIONS OF MOTION
• FORCE(MECHANICS)
• LOADS(FORCES)
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE