In　this　paper,　the　nonlinear　breathing　vibrations　of　an　eccentric　rotating　composite　laminated　circular　cylindrical　shell　are　studied　for　the　first　time,　which　is　subjected　to　the　lateral　and　temperature　excitations.　Based　on　Donnell　thin　shear　deformation　theory,　von　Korman-type　nonlinear　relation　and　Hamilton＇s　principle,　the　nonlinear　partial　differential　governing　equations　of　motion　are　established　for　the　eccentric　rotating　composite　laminated　circular　cylindrical　shell.　The　nonlinear　partial　differential　governing　equations　of　motion　are　discretized　into　a　set　of　coupled　nonlinear　ordinary　differential　equations　of　motion　by　Galerkin　approach.　Based　on　the　case　of　1:2　internal　resonance　and　principal　parametric　resonance-1/2　subharmonic　resonance,　the　method　of　multiple　scales　is　employed　to　obtain　four-dimensional　nonlinear　averaged　equations.　Considering　the　effects　of　different　parameters,　for　example,　the　eccentricity　ratio,　the　geometric　parameters　and　the　excitations,　the　nonlinear　dynamic　behaviors　and　the　jumping　phenomena　are　exhibited　for　the　frequency-response　curves　and　the　amplitude-response　curves.　The　periodic　and　chaotic　motions　of　the　eccentric　rotating　composite　laminated　circular　cylindrical　shell　are　found　when　the　rotating　speed　corresponds　to　the　internal　resonant　point　at　the　certain　conditions　for　different　lateral　and　temperature　excitations.　(C)　2019　Elsevier　Ltd.　All　rights　reserved.