APPROXIMATE EIGENVALUES OF TUNED MASS DAMPER (TMD) -STRUCTURE DYNAMICAL SYSTEM AND DESIGN FORMULAS OF TMD

Abstract

Eigenvalues of TMD-structure 2DOF nonproportionally-damped system are obtained using pertubation technique. Explicit formulas for TMD design under various types of loading are proposed on the basis of the approximate eigenvalues and optimization of TMD is discussed. It is shown that the formulas are accurate enough under the practical range of the TMD parameters.