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Dynamic Response to Harmonic Transverse Excitation of Cantilever Euler-Bernoulli Beam Carrying a Point Mass

In this paper calculation of dynamic response to harmonic transverse excitation of cantilever Euler-Bernoulli beam carrying a point mass with mode superposition method is presented. Mode superposition method uses mode shapes and modal coordinate functions which are calculated by separation of variables and Laplace transformations. The accuracy of defined expressions are confirmed on examples with and without Rayleigh damping. All results are in good agreement with the results of comercial software based on finite element method.

dynamic response, Euler-Bernoulli beam, point mass , mode superposition method, Rayleigh damping

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