Nonlinear vibration of a nonlocal functionally graded beam on fractional visco-Pasternak foundation

Nešić, Nikola; Cajić, Milan; Karličić, Danilo; Obradović, Aleksandar; Simonović, Julijana

doi:10.1007/s11071-021-07081-z

Nonlinear Dyn

2022

DOI: 10.1007/s11071-021-07081-z

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Nonlinear vibration of a nonlocal functionally graded beam on fractional visco-Pasternak foundation

Nikola Nešić¹,

Milan Cajić

Danilo Karličić

et al.

Abstract: Nonlinear dynamics manuscript No.

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Cited by 12 publications

References 74 publications

(90 reference statements)

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Analysis of a nonlinear dynamic absorption system

Nešić,

Simonović,

Nestorović

2024

Proc Appl Math and Mech

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Passive dynamic absorbers, also known as mass dampers, are typically investigated for their use in vibration suppression of buildings and structures. The proposed model consists of two rigid bodies, where the main body rests on a viscoelastic foundation. Additional attached mass represents a nonlinear energy sink. The dynamical interaction and behavior of a two‐degree‐of‐freedom mechanical system are described with a system of two coupled differential equations of the second order. The first equation contains the damping term. The second equation is nonlinear. The nonlinear differential equation system is solved using an incremental harmonic balance method. The influence of the resting foundation's viscoelastic properties on the main body's dynamics is analyzed. Additionally, the variations of other system parameters, especially the mass damper features, on amplitude‐frequency response curves are analyzed and discussed.

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Analysis of a nonlinear dynamic absorption system

Nešić,

Simonović,

Nestorović

2024

Proc Appl Math and Mech

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Variable cross sections functionally grad beams on Pasternak foundations: An enhanced interaction theory for construction applications

Ling,

Wu,

Huang

et al. 2024

Arch Appl Mech

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Dynamic stability of smart sandwich nanotubes based on modified couple stress theory using differential quadrature method (DQM)

Nasiri-Khouzani,

Salmani-Tehrani,

Farrokhian

2023

Acta Mech

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Nonlinear vibration of a nonlocal functionally graded beam on fractional visco-Pasternak foundation

Abstract: Nonlinear dynamics manuscript No.

Cited by 12 publications

References 74 publications

Analysis of a nonlinear dynamic absorption system

Analysis of a nonlinear dynamic absorption system

Variable cross sections functionally grad beams on Pasternak foundations: An enhanced interaction theory for construction applications

Dynamic stability of smart sandwich nanotubes based on modified couple stress theory using differential quadrature method (DQM)

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