Exact solutions for the stability of viscoelastic rectangular plate subjected to tangential follower force

Nonconservative stability of viscoelastic plates subject to triangularly distributed follower loads

“…The results for the viscoelastic plate subject to a triangularly distributed tangential force are given in comparison to the results for a viscoelastic plate subject to a uniformly distributed tangential force which was studied in Wang et al (2007) and Zhou and Wang (2014). The results for the SSSS and CSCS boundary conditions are given in Table 1 for H = 10 −5 (nondimensional viscoelasticity coefficient).…”

“…The bulk modulus K and shear modulus G can be expressed in terms of Young's modulus E and Poisson's ratio ν as K = E/3(1 − 2ν) and G = E/(1 + 2ν). The equation of vibration of the viscoelastic plate subject to a triangular follower load is first obtained in the Laplace domain (see Wang et al, 2007;Zhou and Wang, 2014). By the inverse Laplace transformation, the governing equation can be expressed in the time domain as…”

“…Recently, the dynamic stability of viscoelastic plates has been studied for a number of cases (Ilyasov and Aköz, 2000;Wang et al, 2007Wang et al, , 2009Wang et al, , 2013Zhou and Wang, 2014;Robinson and Adali, 2016). Vibrations of a simply supported plate with nonlinear strain-displacement relations and subject to a uniformly distributed tangential force were studied by Robinson (2013).…”