The effect of the nonlocal parameter on free vibration analysis nano scaled trusses and frames is examined. Accordingly, firstly, axial bending vibrations longitudinal element are formulated. Simple rod Euler-Bernoulli assumptions considered for vibrations, respectively. Finite matrices obtained by applying average weighted residue to equation motion vibration. These combined according freedoms...

the vibrations produced by trains include two parts which are deterministic and random vibrations. due to variation of dynamic loads and patterns of load-time, the random vibration of moving train is one of the most important issues in the field of railway engineering. one of the important sources in producing the train vibrations is rail roughness and irregularities. in this paper, responses o...