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Three-dimensional vibration analysis of a uniform beam with offset inertial masses at the ends
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Robertson, D. K. |
| Copyright Year | 1985 |
| Description | Analysis of a flexible beam with displaced end-located inertial masses is presented. The resulting three-dimensional mode shape is shown to consist of two one-plane bending modes and one torsional mode. These three components of the mode shapes are shown to be linear combinations of trigonometric and hyperbolic sine and cosine functions. Boundary conditions are derived to obtain nonlinear algebraic equations through kinematic coupling of the general solutions of the three governing partial differential equations. A method of solution which takes these boundary conditions into account is also presented. A computer program has been written to obtain unique solutions to the resulting nonlinear algebraic equations. This program, which calculates natural frequencies and three-dimensional mode shapes for any number of modes, is presented and discussed. |
| File Size | 1430796 |
| Page Count | 72 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19860001113 |
| Archival Resource Key | ark:/13960/t59d1th80 |
| Language | English |
| Publisher Date | 1985-09-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Nonlinear Equations Vibration Control Systems Design Flexible Spacecraft Differential Equations Kinematics Beams Supports Bending Displacement Structural Analysis 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 |
