Electronic Resource
New York, NY [u.a.]
:
Wiley-Blackwell
Communications in Applied Numerical Methods
4 (1988), S. 549-556
ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
Because of the cost of generating computer solutions for a dynamic analysis, it is often desirable to reduce the size of the problem by performing a reduction on the mass and stiffness matrices of the governing set of equations of motion. The well-known reduction proposed by Guyan is the technique used by most of the large structure codes. This paper is concerned with the accuracy in such reduction and the method to improve it. A formula for the estimate of the error induced by Guyan reduction is derived through from perturbation theory. Based on the same principle, an iterative pertubation scheme is developed to improve the solution accuracy by taking the Guyan solution as the starting value. To demonstrate the practical usefulness of the method, two numerical examples are included.
Additional Material:
1 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630040412
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