“…Moreover, for some mechanical engineering systems with nonlinearity, from a spatial or geometrical point of view, the nonlinearities have a local character, i.e., these local nonlinearities constitute only one or few restricted components of mechanical systems [9], but the presences of the few nonlinear components can lead the whole system to behave nonlinearly. There are considerable examples of local nonlinearities in mechanical engineering systems, such as fluid-film bearings in rotating machinery [10], dry friction and backlash phenomena in certain connections of mechanical systems [11], nonlinear spring and damper supports in vehicle systems [12], and breathing cracks in beams [13], rotors [14] or plates [15], etc.…”