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Integrating matrix formulations for vibrations of rotating beams including the effects of concentrated masses
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Lakin, W. D. |
| Copyright Year | 1982 |
| Description | By expressing partial differential equations of motion in matrix notation, utilizing the integrating matrix as a spatial operator, and applying the boundary conditions, the resulting ordinary differential equations can be cast into standard eigenvalue form upon assumption of the usual time dependence. As originally developed, the technique was limited to beams having continuous mass and stiffness properties along their lengths. Integrating matrix methods are extended to treat the differential equations governing the flap, lag, or axial vibrations of rotating beams having concentrated masses. Inclusion of concentrated masses is shown to lead to the same kind of standard eigenvalue problem as before, but with slightly modified matrices. |
| File Size | 409405 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19820024132 |
| Archival Resource Key | ark:/13960/t3zs7k33q |
| Language | English |
| Publisher Date | 1982-06-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Beams Supports Equations of Motion Structural Vibration Matrices Mathematics Differential Equations Rotating Bodies Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
