Free vibration analysis of mixed supported beam

Abstract

In this study, the free vibration of a Euler-Bernoulli beam with rotating and transitional springs at both ends has been investigated. According to different spring coefficients, frequency tables and mode shapes have been created for both symmetric and non-symmetric cases. By changing spring constants, many conditions have been examined and interpreted. It has been found that the effect of spring constants on frequencies is extremely low at high frequencies and the difference between two frequencies approaches to a constant value.