Abstract
AbstractOne of the most important parameters determining the dynamic behavior of an extended structure is the value of the first natural frequency of vibration, which usually must be equal to or greater than some certain value. Modeling extended structures with a beam model allows the engineer to quickly evaluate it first natural frequency of vibration, that is, to perform a check calculation, using the appropriate theory and reference literature. However, existing scientific techniques do not allow for design calculations, for example, selecting supports to obtain the certain value of the first natural frequency of beam vibration. An effective way to ensure the first natural frequency of beam vibrations is to choose the appropriate method of its fixation: the type of the end supports and, if necessary, intermediate supports. This paper proposes a method of normalizing support coefficients, which enables to obtain convenient comparable values when choosing supports and, as a result, to develop a method for reasonable selection of a support arrangement system for a straight beam. The obtained results can be used in the calculation and design of any beam structures for control of their first natural frequency of vibration by means of the arrangement of supports.KeywordsVibrationBeamSupportCoefficient of supportFirst natural frequencyNormalizing
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