VIBRATION EQUATIONS FOR A STRUCTURE
The exact equations of vibrations of a dynamical system consisting of both continuous members and isolated masses are obtained by a new method employing Hamiltons variational equation. The method is quite general, and replaces the treatments by lumped-mass models in current use. It makes possible the calculation of wave solutions, which reveal new features of the nature of the motion. Comparison with the results from lumped-mass models shows the scope and limitations of these results. In some cases it makes possible the deduction of formulas for the stresses in structure members expressed directly in terms of the structural parameters, dispensing with all dynamical calculations. These statements are illustrated by examples.
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Society of Naval Architects and Marine Engineers601 Pavonia Avenue
Jersey City, NJ United States 07306-2907
- Mott-Smith, H M
- Publication Date: 1970-9
- Pagination: 168 p.
- TRT Terms: Ships; Structural analysis; Vibration
- Old TRIS Terms: Ship structures; Structural vibration
- Subject Areas: Marine Transportation; Materials; Vehicles and Equipment;
- Accession Number: 00016629
- Record Type: Publication
- Files: TRIS
- Created Date: Aug 20 1972 12:00AM