▎ 摘　　要

Resorting to the Chebyshev-Ritz scheme instability as well as post-instability response as a consequence of the buckling occurrence for a rotating nanocomposite beam in a uniform thermal environment is studied. The beam has been reinforced with graphene platelet. The Halpin-Tsai theory is utilized for the sake of specifying the elasticity modulus of the reinforced nanocomposite beam. The Chebyshev set of polynomial functions has been used to serve as a required independent set for the Ritz method. The static displacement field owing to the rotation of the beam and the thermal load is acquired by employing a potent algorithm. The outcomes indicate that for nanocomposite beams with the graphene platelet patterns in the model of O-and U-patterns rotating, respectively, below 9,326, and 7,420 rpm, the graphene reinforcing phase should not be used since it leads to a thermal buckling stiffness for the nanocomposite rotating beam smaller than the thermal buckling stiffness of the associated original rotating beam that just made of a host matrix. Moreover, developing the weight fraction of the graphene platelet for a U-type beam rotating below 9,628 rpm lessens the corresponding thermal buckling stiffness while an X-type beam always strengthens in a similar conditions.