ON NATURAL FLEXURAL VIBRATIONS IN A STEPWISE CANTILEVER BEAM WITH AN ATTACHED DISTRIBUTED MASS

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Abstract


Consideration is given to natural flexural vibrations in a stepwise cantilever beam with an attached distributed mass. The research shows that an increase in the initial coordinate of the distributed mass results in greater natural vibration frequencies within the parameter range in question. It has been found that as the ratio of the moments of inertia becomes greater, the first natural vibration frequency increases and the second and third ones decrease. The solu- tion of an inverse problem allows one to determine the initial coordinate, the magnitude of the attached distributed mass and also the ratio of the moments of inertia using three lowermost natural frequencies of flexural vibrations

A G Khakimov

Institut Mechaniki im. R.R. Mavlyutova Ufimskogo nauchnogo Tzentra RAN

Email: hakimov@anrb.ru

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