Effect of the connection position to the vibration characteristics for beams

This paper presents an investigation into the effect of the connecting position where local stiffness varies on the vibration characteristics of an Euler-Bernoulli beam. It is aimed at determining the optimal connecting position for minimum deviation from the desirable vibration characteristics of the beam. Mathematical formulation is performed to reveal the relationship between the connecting position and the natural frequency of a beam. Numerical simulation of a vibrating beam with multi connections by FE method is performed with the results to show the correlation demonstrated in the theoretical analysis. Based on the study, a slender air vehicle structure is taken as an example to locating the optimal connecting position where the local stiffness is reduced. The results show that the distribution of connecting position for the structure can be determined to obtain the desirable vibration characteristics.