Layout Optimization of Unconstrained Viscoelastic Layer on Beams Using Fractional Derivative Model

Abstract

= complex modulus f = frequency i = √ −1 [K ]= global stiffness matrix [M ]= global mass matrix T = temperature t = time U = strain energy {y} = eigenvector α(T ) = shift factor δ ij = Kronecker delta e = strain η = loss factor σ = stress ς = eigenvalue (= (2π f ) 2 )