A Survey of Direct Integration Methods in Structural Dynamics
BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING
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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.
- Theoretical Mathematics
- Structural Engineering and Building Technology