Dynamic response spectra of fractionally damped viscoelastic beams subjected to moving load

Praharaj, R. K.; Datta, N.

doi:10.1080/15397734.2020.1725563

Cited by 22 publications

(8 citation statements)

References 38 publications

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“…In [18], the dynamic behavior of the thin plates resting on a fractionally damped viscoelastic foundation subjected to a moving point load is investigated and results show that the damping of the foundation system increases with increasing the order of the fractional derivative, which leads to a decrease in the dynamic response. In [19], the dynamic response spectra of fractionally damped viscoelastic beams subjected to concentrated moving load are presented and results reveal that with an increase in the order of the fractional derivative, the system damping of the system increases and the dynamic amplification factor (DAF) decreases, especially in the dynamic zone of the sweep parameter. In [20], the precise integration method (PIM) is extended to numerically integrate the equation of motion with fractional terms, which offers high accuracy and obtained numerical results indicate the viscoelastic dampers can enhance the seismic performance of structures significantly.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam $^{*}$

Yildirim

Alkan

2021

Journal of Mathematics

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In this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of intensity value of the moving force load on the dynamic response of the beam are analyzed. Constitutive equations for fractional order viscoelastic beam are constructed in the manner of Euler–Bernoulli beam theory. Solution of the fractional beam system is obtained by using Bernoulli collocation method. Obtained results are presented in the tables and graphical forms for two different beam systems, which are polybutadiene beam and butyl B252 beam.

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Section: Introductionmentioning

confidence: 99%

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam $^{*}$

Yildirim

Alkan

2021

Journal of Mathematics

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“…the fundamental mode based on Relative Modal Contribution (RMC) approach. 37,43 The RMC is defined as the ratio of a maximum of rth generalized coordinate qr(t) to that of the fundamental generalized coordinate q1(t), in log scale, i.e. RMC=log10(Max[qr(t)q1(t)]). The RMC of the first 100 modes of vibration on the final dynamic deflection response of the beam is generated for three different foundation stiffnesses when the load is moving with uniform velocity v=20m/s, as presented in Figure 3.…”

Section: Examplementioning

confidence: 99%

“…36 studied the nonlinear vibration of a Timoshenko beam on a fractional Pasternak foundation using the multiple scale method. Praharaj and Datta 37 investigated the dynamic response spectra of a fractionally-damped beam subjected to moving point load using modal superposition approach.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load

Praharaj

Datta

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The dynamic behaviour of an Euler–Bernoulli beam resting on the fractionally damped viscoelastic foundation subjected to a moving point load is investigated. The fractional-order derivative-based Kelvin–Voigt model describes the rheological properties of the viscoelastic foundation. The Riemann–Liouville fractional derivative model is applied for a fractional derivative order. The modal superposition method and Triangular strip matrix approach are applied to solve the fractional differential equation of motion. The dependence of the modal convergence on the system parameters is studied. The influences of (a) the fractional order of derivative, (b) the speed of the moving point load and (c) the foundation parameters on the dynamic response of the system are studied and conclusions are drawn. The damping of the beam-foundation system increases with increasing the order of derivative, leading to a decrease in the dynamic amplification factor. The results are compared with those using the classical integer-order derivative-based foundation model. The classical foundation model over-predicts the damping and under-predicts the dynamic deflections and stresses. The results of the classical (integer-order) foundation model are verified with literature.

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“…Sandwich structures embedding viscoelastic layers are commonly used in many structural systems for vibration and noise control Valvano, Alaimo, and Orlando 2020). Viscoelastic layer are added to structures to control vibration as it transforms vibrational energy into thermal energy (Song et al 2009;Filippi, Carrera, and Valvano 2018;Alaimo, Orlando, and Valvano 2019;Alavi and Eipakchi 2019;Praharaj and Datta 2020). The proposed novel composite leaf spring is designed and analyzed to investigate the effect of the viscoelastic core on the damping characteristics of the composite leaf spring.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behaviors of composite leaf springs with viscoelastic cores

Jolaiy

Yousefi

Mashhadi

et al. 2021

Mechanics Based Design of Structures and Machines

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A leaf spring is a simple form of spring commonly used for the suspension in wheeled vehicles. Due to their high strength to weight ratio, high stiffness, and high impact energy absorption, fiber-reinforced composite leaf springs gain considerable interest recently as a potential alternative to conventional leaf springs with relatively high weight. In the present study, a novel composite leaf spring consists of two composite face layers, and a soft and flexible viscoelastic core is proposed. Employing viscoelastic materials in structures reduces undesirable vibrations leading to fatigue and damage of structures. A numerical method is used to design and analyze composite leaf springs with a viscoelastic core using the Abaqus software package. Results are compared with those from well-known analytical methods, finite element methods, and experiments. Results show that the proposed novel composite leaf spring can withstand the stresses caused by static and impact forces, reduce post-impact vibrations, and prevent undesirable system vibrations. The viscoelastic layer increases the strain energy capacity of proposed composite leaf springs compared to conventional composite leaf springs and enhances the composite leaf spring performance against bump impact.

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Dynamic response spectra of fractionally damped viscoelastic beams subjected to moving load

Cited by 22 publications

References 38 publications

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam $^{*}$

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam $^{*}$

Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load

Dynamic behaviors of composite leaf springs with viscoelastic cores

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Dynamic response spectra of fractionally damped viscoelastic beams subjected to moving load

Cited by 22 publications

References 38 publications

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam ∗

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam ∗

Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load

Dynamic behaviors of composite leaf springs with viscoelastic cores

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Product

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Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam $^{*}$

Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam $^{*}$