Accession Number:

AD0743984

Title:

A Survey of Direct Integration Methods in Structural Dynamics

Descriptive Note:

Technical rept.

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING

Personal Author(s):

• Nickell, Robert E.

Report Date:

1972-04-01

Pagination or Media Count:

31.0

Abstract:

Several alternative methods for directly integrating the governing equations of motion of structural dynamics are reviewed. First, the characteristics of the matrix equations are examined e.g. the spread in structural eigenvalues, or stiffness the bandwidth and sparseness and the frequency spectrum of the forcing function. Then, the criteria that can be used to select a direct integration algorithm are discussed e.g. the artificial damping, the periodicity error. Emphasis is given to results obtained for the Houbolt, Newmark and Wilson operators, and their comparison to a class of stiffly stable operators. Recent application of these operators to nonlinear problems is discussed.

Descriptors:

• *STRUCTURES
• *NUMERICAL INTEGRATION
• VIBRATION
• EQUATIONS OF MOTION
• SEISMIC WAVES
• NONLINEAR SYSTEMS
• MATRICES(MATHEMATICS)

Subject Categories:

• Theoretical Mathematics
• Structural Engineering and Building Technology

Distribution Statement:

APPROVED FOR PUBLIC RELEASE