Viscoelastic shear deformable microplates: Nonlinear forced resonant characteristics

Determination of the Viscoelastic Shear Modulus Using Forced Torsional Vibrations

Many methods exist for the experimental determination of the viscoelastic properties of materials. Some of these methods have been summarized [1,2]' and those that have been used more recently appear in a collection of abstracts [3]. The method described herein, which uses forced torsional vibrations, is an updated version of previous works [4,5]. It was selected because it most easily met the ...

Modeling of viscoelastic shear: A nonlinear stick-slip formulation

We present a class of nonlinear dynamic viscoelastic models for materials subjected to shear stress. The model equations are based on a continuum variation of a reptation model in which chemically cross-linked (CC) systems of molecules act as constraint boxes per unit volume for physically constrained (PC) systems of molecules. Results from validating the model with dynamic shear experiments ar...

Nonlinear resonant characteristics of shallow fluid layers.

Results are presented from an experimental investigation of the motion of a shallow layer of water in a square tank that was oscillated horizontally with small amplitude at frequencies close to the natural frequency of the layer. The aim was to assess the validity of certain theoretical predictions relating to nonlinear resonance in shallow layers based on asymptotic analysis. These concern the...

Parametric Analyses of Multispan Viscoelastic Shear Deformable Beams Under Excitation of a Moving Mass

This paper presents a numerical parametric study on design parameters of multispan viscoelastic shear deformable beams subjected to a moving mass via generalized moving least squares method (GMLSM). For utilizing Lagrange’s equations, the unknown parameters of the problem are stated in terms of GMLSM shape functions and the generalized Newmarkscheme is applied for solving the discrete equations...

Forced Turbulent Shear Layer