Nonlinear Free Flexural Vibration of Oval Rings

2003 ◽  
Vol 70 (5) ◽  
pp. 774-777 ◽  
Author(s):  
M. Ganapathi ◽  
B. P. Patel ◽  
D. P. Makhecha
Keyword(s):  
Free Vibration ◽  
Flexural Vibration ◽  
Beam Element ◽  
Vibration Characteristics ◽  
Curved Beam ◽  
Total Response ◽  
Nonlinear Free Vibration ◽  
B Spline ◽  
Curved Beam Element

In this article, the nonlinear free vibration characteristics of isotropic oval rings are analyzed using a shear flexible cubic B-spline curved beam element. The amplitude-frequency relationships are estimated from the response history. The participation of various modes in the total response is highlighted.

The curved beam element and its convergence rate

1989 ◽  
Vol 10 (6) ◽  
pp. 507-519 ◽  
Author(s):  
Lü He-xiang ◽  
Tang Li-min ◽  
Liu Xiu-lan
Keyword(s):  
Convergence Rate ◽  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

scholarly journals A multiscale force-based curved beam element for masonry arches

2018 ◽  
Vol 208 ◽  
pp. 17-31 ◽  
Author(s):  
Paolo Di Re ◽  
Daniela Addessi ◽  
Elio Sacco
Keyword(s):  
Beam Element ◽  
Curved Beam ◽  
Masonry Arches ◽  
Curved Beam Element

Performance of Curved Beam Elements Using the Absolute Nodal Coordinate Formulation

2009 ◽  
Author(s):  
Hiroyuki Sugiyama ◽  
Hirohisa Koyama ◽  
Hiroki Yamashita
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Beam Element ◽  
Solution Procedure ◽  
Large Displacement ◽  
Curved Beam ◽  
Absolute Nodal Coordinate ◽  
Curved Beam Element ◽  
Strain Components ◽  
The Absolute ◽  
Longitudinal Stretch

In this investigation, a gradient deficient beam element of the absolute nodal coordinate formulation is generalized to a curved beam for the analysis of multibody systems and the performance of the proposed element is discussed by comparing with the fully parameterized curved beam element and the classical large displacement beam element with incremental solution procedures. Strain components are defined with respect to the initially curved configuration and described by the arc-length coordinate. The Green strain is used for the longitudinal stretch, while the material measure of curvature is used for bending. It is shown that strains of the curved beam can be expressed with respect to those defined in the element coordinate system using the gradient transformation and the effect of strains at the initially curved configuration is eliminated using one-dimensional Almansi strain. This property can be effectively used with non-incremental solution procedure employed for the absolute nodal coordinate formulation. Several numerical examples are presented in order to demonstrate the performance of the gradient deficient curved beam element developed in this investigation. It is shown that the use of the proposed element leads to better element convergence as compared to that of the fully parameterized element and the classical large displacement beam element with incremental solution procedures.

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