A power series solution for vibration and complex modal stress analyses of variable thickness viscoelastic two-directional FGM circular plates on elastic foundations

作者：Shariyat M^*; Alipour M M

来源：Applied Mathematical Modelling, 2013, 37(5): 3063-3076.

DOI：10.1016/j.apm.2012.07.037

• Viscoelastic
• Two-directional functionally graded materials
• Variable thickness circular plates
• Vibration
• Semi-analytical

In the present paper, a power series solution is developed for free vibration and damping analyses of viscoelastic functionally graded plates with variable thickness on elastic foundations. It is assumed that the material properties of the functionally graded material (FGM) vary in the transverse and radial directions, simultaneously. Therefore, the presented solution can be employed for the transversely-graded and radially-graded viscoelastic circular plates, as special cases. In addition to the edge conditions, the plate may be resting on a two-parameter elastic foundation. The complex modulus approach is employed in combination with the elastic viscoelastic correspondence principle to obtain the solution for various edge conditions. A sensitivity analysis including investigation of effects of various edge conditions, geometric parameters, coefficients of the elastic foundation, parameters of the functionally graded material, and material loss factors is carried out. In the present paper, concept of the complex modal stresses of the viscoelastic plates is discussed in detail.

• 出版日期2013-3-1