Eigenvalue Economisers in Vibration Problems

B. Irons

doi:10.1017/S0001924000062618

Extract

A Matrix Eigenvalue Calculation is rich in information content but expensive in computer time. This is why, in a typical vibration problem, there are many more elements than masses, or rather, many more elementary deflections than degrees of freedom for vibrations.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

DRAPER, K. J. IRONS, B. and BAZELEY, G. 1964. Comment on "Vibration of a 45" Right Triangular Cantilever Plate by a Gridwork Method". AIAA Journal, Vol. 2, Issue. 10, p. 1870.

IRONS, BRUCE 1965. Structural eigenvalue problems - elimination of unwanted variables. AIAA Journal, Vol. 3, Issue. 5, p. 961.

Ramsden, J. N. and Stoker, J. R. 1969. Mass condensation : A semi‐automatic method for reducing the size of vibration problems. International Journal for Numerical Methods in Engineering, Vol. 1, Issue. 4, p. 333.

Dong, Stanley B. Wolf, Joseph A. and Peterson, Frederick E. 1972. On a direct‐iterative eigensolution technique. International Journal for Numerical Methods in Engineering, Vol. 4, Issue. 2, p. 155.

Jennings, Alan 1973. Mass condensation and simultaneous iteration for vibration problems. International Journal for Numerical Methods in Engineering, Vol. 6, Issue. 4, p. 543.

HILBRANDT, ECKHARD 1974. Schwingungsuntersuchungen an einer Pkw-Karosserie. Vehicle System Dynamics, Vol. 3, Issue. 2, p. 99.

KIDDER, ROBERT L. 1975. Reply by Author to A.H. Flax. AIAA Journal, Vol. 13, Issue. 5, p. 702.

FLAX, ALEXANDER H. 1975. Comment on "Reduction of Structural Frequency Equations". AIAA Journal, Vol. 13, Issue. 5, p. 701.

CHEUNG, Y.K. 1976. Finite Strip Method in Structural Analysis. p. 116.

Takatsu, H. and Shimizu, M. 1980. Dynamic analysis method for a large complicated structure and application to a fusion device. Nuclear Engineering and Design, Vol. 60, Issue. 2, p. 297.

Leung, Y.T. and Cheung, Y.K. 1981. Dynamic analysis of frames by a two-level finite element method. Journal of Sound and Vibration, Vol. 74, Issue. 1, p. 1.

To, C.W.S. 1982. Application of the finite element method for the evaluation of velocity response of anvils. Journal of Sound and Vibration, Vol. 84, Issue. 4, p. 529.

Shah, V. N. and Raymund, M. 1982. Analytical selection of masters for the reduced eigenvalue problem. International Journal for Numerical Methods in Engineering, Vol. 18, Issue. 1, p. 89.

Paz, Mario 1985. Reply by Author to A. H. Flax. AIAA Journal, Vol. 23, Issue. 11, p. 1843.

Flax, Alexander H. 1985. Comment on "Dynamic Condensation". AIAA Journal, Vol. 23, Issue. 11, p. 1841.

Delpak, R. and Peshkam, V. 1986. A study of the influence of hierarchical nodes on the performance of selected parametric elements. International Journal for Numerical Methods in Engineering, Vol. 22, Issue. 1, p. 153.

Bathe, Klaus-Jürgen 1986. Finite-Elemente-Methoden. p. 611.

Rajpal, S.D.O. Cleghorn, W.L. and Tabarrok, B. 1987. Improving the performance of beam elements undergoing forced vibrations. Computer Methods in Applied Mechanics and Engineering, Vol. 62, Issue. 3, p. 245.

Clemente, Jose L.M. 1987. A numerical study of errors in reduction methods. Computers & Structures, Vol. 25, Issue. 5, p. 643.

PANOSSIAN, HAGOP 1988. Model order reduction techniques in large space structure applications.

Download full list

Article contents

Eigenvalue Economisers in Vibration Problems

Extract

Access options

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Eigenvalue Economisers in Vibration Problems

Extract

Access options

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests