Finite Element Dynamic Analysis of Laminated Viscoelastic Structures

Abstract

This work is concerned with the dynamic behavior of laminated beam, plate and shell structures consisting of a viscoelastic damping layer constrained between two structural layers. Finite element models for modal, harmonic and transient analyses are developed. The dynamic interlaminar shear stresses are determined and presented under harmonic and transient loads. The effect of the damping ratio of the viscoelastic material is investigated. It is found that the viscoelastic material damping reduces the interlaminar stresses. The results also show the dependency of the viscoelastic material on frequency, hence, the effect of the viscoelastic material appears significantly under harmonic loading. In transient analysis, the importance of the viscoelastic material is observed in absorbing the impact and returning the structure to its original configuration.

Identification of the dynamic characteristics of a viscoelastic, nonlinear adhesive joint

“…S.) shown in Fig. 8 [20,[27][28][29].This spring provides "equilibrium" or rubbery stiffness "Ke" that is preserved after the stresses in the Maxwell branch have relaxed away as the dashpot extends.…”

Investigation of vibrating jaw crusher experimental variables

“…Кут щокової дробарки та тип обертової маси враховуються для вивчення всіх розмірів частинок і ступеня подрібнення, отриманих для трьох різних швидкостей роботи двигуна: 1500, 2000 і 2500 об/хв. Грубий заповнювач вагою 900 г з розміром частинок 26 мм подається в щокову дробарку, яка продукує кілька розмірів частинок (19,12,5,9,5,4.75 і менше 4.75 мм). Надалі вимірюється маса частинок і обчислюється ступінь їх зменшення.…”

Dynamic Viscoelastic Incremental-Layerwise Finite Element Method for Multilayered Structure Analysis Based on the Relaxation Approach

“…This approach is based on a time discretization of the relaxation function according to Prony series represented in Eq. (2). According to this algorithm, the constitutive relation in terms of the relaxation function is transformed from integral form into an incremental algebraic form by a Prony series representation prior to development of the layerwise finite element formulation.…”

“…Studying the laminated structures with embedded viscoelastic material has attracted many researchers [1][2][3][4][5].The significant use of viscoelastic materials in engineering structures needs understanding the behavior of time-dependent mechanical stresses and deformations that can cause failure of such structures. The principle problem in representing a mathematical model for the mechanical behavior of these materials is that their responses depend on their complete history of stress and strain tensor components and consequently, the solutions of these types of problems become more complicated than those of the related elastic ones.…”