In-plane vibration analysis of parabolic arches having a variable thickness

Küçük Resim Yok

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springernature

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This article deals with free and forced vibration responses of the viscoelastic parabolic arches of variable thickness. Firstly, considering the effects of shear deformation and damping, time-dependent motion equations of in-plane loaded parabolic arches are obtained. Subsequently, the Laplace transform is applied to the obtained equations and solved by a powerful numerical method. Furthermore, the Kelvin viscose model is used to describe the viscoelastic material. Using an effective and suitable inverse numerical Laplace transform method, the results were transferred back to time space. The verification of the presented method is performed by comparing its results with the results of ANSYS. It has been shown in several examples that the proposed method is highly accurate and efficient compared to step-by-step time integration methods.

Açıklama

Anahtar Kelimeler

Laplace transform, Free vibration, Forced vibration, Kelvin damping model, Parabolic arches

Kaynak

International Journal of Dynamics And Control

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

9

Sayı

3

Künye