Abstract
In practice, the element connection may not be clamped perfectly in the manufacturing process. For the safety of a structure in an earthquake, the elastic element connection is helpful for the propagation of energy through all of the structure elements and the prevention of local damage. So far, the theory for a structure with partially clamped joints has not been investigated clearly. The mathematical model is established here. The analytical solution for this system is derived. It is found that the effects of the rotational spring constants, the ratios of the bending rigidities, and the element lengths on the natural frequencies are significant.
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