Free Vibration Analysis of Spatial Curved Beams with Variable Curvature and Torsion

2009 ◽  
Author(s):  
Li-li Zhu ◽  
Ying-hua Zhao
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Curved Beams ◽  
Variable Curvature ◽  
Curvature And Torsion

Isogeometric Free Vibration Analysis of Curved Euler–Bernoulli Beams With Particular Emphasis on Accuracy Study

2020 ◽  
pp. 2150011
Author(s):  
Zhuangjing Sun ◽  
Dongdong Wang ◽  
Xiwei Li
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Convergence Rates ◽  
Harmonic Wave ◽  
Free Vibration Analysis ◽  
Curved Beam ◽  
Curved Beams ◽  
Stiffness Matrices ◽  
Accuracy Measure ◽  
Accuracy Study

An isogeometric free vibration analysis is presented for curved Euler–Bernoulli beams, where the theoretical study of frequency accuracy is particularly emphasized. Firstly, the isogeometric formulation for general curved Euler–Bernoulli beams is elaborated, which fully takes the advantages of geometry exactness and basis function smoothness provided by isogeometric analysis. Subsequently, in order to enable an analytical frequency accuracy study, the general curved beam formulation is particularized to the circular arch problem with constant radius. Under this circumstance, explicit mass and stiffness matrices are derived for quadratic and cubic isogeometric formulations. Accordingly, the coupled stencil equations associated with the axial and deflectional displacements of circular arches are established. By further invoking the harmonic wave assumption, a frequency accuracy measure is rationally attained for isogeometric free analysis of curved Euler–Bernoulli beams, which theoretically reveals that the isogeometric curved beam formulation with [Formula: see text]th degree basis functions is [Formula: see text]th order accurate regarding the frequency computation. Numerical results well confirm the proposed theoretical convergence rates for both circular arches and general curved beams.

Free vibration analysis of composite curved beams with stepped cross-section

Structures ◽  
2021 ◽  
Vol 33 ◽  
pp. 4828-4842
Author(s):  
Samira Khodabakhshpour-Bariki ◽  
Ramazan-Ali Jafari-Talookolaei ◽  
Mostafa Attar ◽  
Arameh Eyvazian
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Curved Beams

Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach

2019 ◽  
Vol 71 ◽  
pp. 152-172 ◽  
Author(s):  
Miloš Jočković ◽  
Gligor Radenković ◽  
Marija Nefovska-Danilović ◽  
Matthias Baitsch
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Curved Beams
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