The dynamic characteristics of the structural components, whose material properties or dimensions vary sharply or discontinuously, are analyzed by the method of the new quotient. This method is based on general variational principles which allow independent variations of various field quantities. It is singularly suited to providing solutions for the considered class of problems, whereas the usual Rayleigh energy method may yield poorer results with even more effort. Cases of heat conduction and harmonic waves in layered composites, vibration and buckling of composite beams and strip-plates, and vibration of non-uniform rotor blades are studied. The eigenvalues and the corresponding eigenfunctions are estimated by the method of new quotient; the results are compared with those obtained by the usual Rayleigh energy method, the exact solution (or available experimetal data), and other approximate methods. In addition, the corresponding bounds on eigenvalues are constructed for certain cases with the aid of the new methodology. The good accuracy obtained by the application of the new quotient method is demonstrated by means of numerical examples.
Determination of dynamic characteristics of elastic composite structures
Ermittlung der dynamischen Kennlinien von elastischen zusammenhaengenden Baukomponenten
1978
157 Seiten
Theses
English
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