On an improved elastic dissipation model for a cantilevered beam

Zarubinskaya, M.A.; Horssen, Wim T. van

doi:10.1090/s0033-569x-05-00979-4

Cited by 7 publications

(2 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As the authors of [13,15] show, the proposed model in [6,11,12] of energy dissipations (1.1) posses many disadvantages. In this work, we show that starting with a discrete model with linear relaxation is impossible to obtain directly model (1.1).…”

Section: Discussionmentioning

confidence: 99%

On an elastic dissipation model as continuous approximation for discrete media

Andrianov

Awrejcewicz

Ivankov

2006

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Construction of an accurate continuous model for discrete media is an important topic in various fields of science. We deal with a 1D differential-difference equation governing the behavior of ann-mass oscillator with linear relaxation. It is known that a string-type approximation is justified for low part of frequency spectra of a continuous model, but for free and forced vibrations a solution of discrete and continuous models can be quite different. A difference operator makes analysis difficult due to its nonlocal form. Approximate equations can be obtained by replacing the difference operators via a local derivative operator. Although application of a model with derivative of more than second order improves the continuous model, a higher order of approximated differential equation seriously complicates a solution of continuous problem. It is known that accuracy of the approximation can dramatically increase using Padé approximations. In this paper, one- and two-point Padé approximations suitable for justify choice of structural damping models are used.

show abstract

Section: Discussionmentioning

confidence: 99%

On an elastic dissipation model as continuous approximation for discrete media

Andrianov

Awrejcewicz

Ivankov

2006

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…From the mechanical engineering viewpoint, wide investigations on the effects of internal and external, distributed or lumped dissipation sources have been conducted in continuous beams. An exhaustive overview on the most used damping models can be found in the literature (De Silva 2007, Adhikari 2000, Muravskii 2004, Zarubinskaya and Van Horssen 2005, Adihikari and Woodhous 2001. Conceiving damping properties as a mechanism of vibration reduction or suppression, many studies on the characterization of the vibrational behavior of externally damped beam structures have been proposed throughout the past decades (Kocatürk andŞimşek 2006, Kayacik et al 2008).…”

Section: Introductionmentioning

confidence: 99%

A modified replacement beam for analyzing building structures with damping systems

Faridani¹,

Curnis²

2016

Structural Engineering and Mechanics

View full text Add to dashboard Cite

This paper assesses efficiency of the continuum method as the idealized system of building structures. A modified Coupled Two-Beam (CTB) model equipped with classical and non-classical damping has been proposed and solved analytically. In this system, complementary (non-classical) damping models composed of bending and shear mechanisms have been defined. A spatial shear damping model which is non-homogeneously distributed has been adopted in the CTB formulation and used to equivalently model passive dampers, viscous and viscoelastic devices, embedded in building systems. The application of continuum-based models for the dynamic analysis of shear wall systems has been further discussed. A reference example has been numerically analyzed to evaluate the efficiency of the presented CTB, and the optimization problems of the shear damping have been finally ascertained using local and global performance indices. The results reveal the superior performance of non-classical damping models against the classical damping. They show that the critical position of the first modal rotation in the CTB is reliable as the optimum placement of the shear damping. The results also prove the good efficiency of such a continuum model, in addition to its simplicity, for the fast estimation of dynamic responses and damping optimization issues in building systems.

show abstract