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A noniterative improvement of guyan reduction
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Ganesan, N. |
| Copyright Year | 1993 |
| Description | In determining the natural modes and frequencies of a linear elastic structure, Guyan reduction is often used to reduce the size of the mass and stiffness matrices and the solution of the reduced system is obtained first. The reduced system modes are then expanded to the size of the original system by using a static transformation linking the retained degrees of freedom to the omitted degrees of freedom. In the present paper, the transformation matrix of Guyan reduction is modified to include additional terms from a series accounting for the inertial effects. However, the inertial terms are dependent on the unknown frequencies. A practical approximation is employed to compute the inertial terms without any iteration. This new transformation is implemented in NASTRAN using a DMAP sequence alter. Numerical examples using a cantilever beam illustrate the necessary condition for allowing a large number of additional terms in the proposed series correction of Guyan reduction. A practical example of a large model of the Plasma Motor Generator module to be flown on a Delta launch vehicle is also presented. |
| File Size | 340795 |
| Page Count | 8 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19940013360 |
| Archival Resource Key | ark:/13960/t5fc0060p |
| Language | English |
| Publisher Date | 1993-09-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Linear Systems Dynamic Structural Analysis Plasma Generators Resonant Frequencies Eigenvectors Elastic Properties Cantilever Beams Nastran Matrix Methods Data Reduction Elastic Bodies Transformations Mathematics Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |