Abstract
In this paper we present a general method for modeling material damping in dynamical systems. The work is primarily concerned with a dissipation model based on viscoelastic assumptions. Motion equations are formulated in operator form for a structure constructed from an anisotropic, viscoelastic material. The mass, damping, and stiffness operators are developed consistently in the formulation. Basic operator properties are discussed, and orthonormality conditions are derived for the viscoelastic system. Modal identities are derived for a constrained viscoelastic structure. These identities provide useful criteria in order reduction of finite-element models. An example of a viscoelastic beam in pure flexure is illustrated.
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