This　paper　is　focused　on　the　chaotic　dynamics　of　a　composite　laminated　circular　cylindrical　shell　with　radially　pre-stretched　membranes　at　both　ends　and　clamped　along　a　generatrix.　Based　on　the　two-degree-of-freedom　non-autonomous　nonlinear　equations　of　this　system,　the　method　of　multiple　scales　is　employed　to　obtain　the　four-dimensional　nonlinear　averaged　equation.　The　resonant　case　considered　here　is　the　primary　parametric　resonance-1/2　subharmonic　resonance　and　1:1　internal　resonance.　Corresponding　to　several　selected　parameters,　the　periodic　and　chaotic　motions　of　the　composite　laminated　circular　cylindrical　shell　clamped　along　a　generatrix　are　demonstrated　by　the　bifurcation　diagrams,　the　maximum　Lyapunov　exponents,　the　phase　portraits,　the　waveforms,　the　power　spectrums　and　the　Poincare　map.　The　temperature　parameter　excitation　shows　that　the　Pomeau-Manneville　type　intermittent　chaos　occur　under　the　certain　initial　conditions.　It　is　also　found　that　there　exist　the　twin　phenomena　between　the　Pomeau-Manneville　type　intermittent　chaos　and　the　period-doubling　bifurcation.