In-plane vibration analysis of phononic crystal curved beams

2016 ◽  
Vol 64 (5) ◽  
pp. 658-667 ◽  
Author(s):  
Donghua Wang ◽  
Shuai Zhijun ◽  
Liu Wei ◽  
Chen Meilong ◽  
Liu Siyuan ◽  
...  
Keyword(s):  
Vibration Analysis ◽  
Phononic Crystal ◽  
Curved Beams ◽  
Plane Vibration

A finite thin circular beam element for in-plane vibration analysis of curved beams

2005 ◽  
Vol 19 (12) ◽  
pp. 2187-2196 ◽  
Author(s):  
Kim Chang-Boo ◽  
Park Jung-Woo ◽  
Kim Sehee ◽  
Cho Chongdu
Keyword(s):  
Vibration Analysis ◽  
Beam Element ◽  
Curved Beams ◽  
Plane Vibration ◽  
Circular Beam ◽  
Thin Circular Beam

A finite thin circular beam element for out-of-plane vibration analysis of curved beams

2009 ◽  
Vol 23 (5) ◽  
pp. 1396-1405 ◽  
Author(s):  
Bo Yeon Kim ◽  
Chang-Boo Kim ◽  
Seung Gwan Song ◽  
Hyeon Gyu Beom ◽  
Chongdu Cho
Keyword(s):  
Vibration Analysis ◽  
Beam Element ◽  
Curved Beams ◽  
Plane Vibration ◽  
Out Of Plane ◽  
Circular Beam ◽  
Thin Circular Beam

A NEW METHOD FOR IN-PLANE VIBRATION ANALYSIS OF CIRCULAR RINGS WITH WIDELY DISTRIBUTED DEVIATION

2002 ◽  
Vol 254 (4) ◽  
pp. 787-800 ◽  
Author(s):  
Y.J. YOON ◽  
J.M. LEE ◽  
S.W. YOO ◽  
H.G. CHOI
Keyword(s):  
Vibration Analysis ◽  
New Method ◽  
Plane Vibration ◽  
Circular Rings

Energy flow models for the out-of-plane vibration of horizontally curved beams

2014 ◽  
Vol 136 (4) ◽  
pp. 2141-2141 ◽  
Author(s):  
Hyun-Gwon Kil ◽  
Seonghoon Seo ◽  
Suk-Yoon Hong ◽  
Chan Lee
Keyword(s):  
Energy Flow ◽  
Curved Beams ◽  
Flow Models ◽  
Plane Vibration ◽  
Horizontally Curved ◽  
Out Of Plane

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.

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