scholarly journals Improved Strategy of Two-Node Curved Beam Element Based on the Same Beam’s Nodes Information

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Yuquan Wang
Keyword(s):  
Beam Theory ◽  
Beam Element ◽  
Computational Time ◽  
Curved Beam ◽  
Beam Shape ◽  
Initial Curvature ◽  
Curved Beam Element ◽  
Straight Beam ◽  
Simulation Results ◽  
Curvature Information

The curved beam with a great initial curvature is the typical structure and applied widely in real engineering structures. The common practice in the current literature employs two-node straight beam elements as the elementary members for stress and displacement analysis, which needs a large number of divisions to fit the curved beam shape well and increases computational time greatly. In this paper, we develop an improved accurate two-node curved beam element (IC2) in 3D problems, combining the curved Timoshenko beam theory and the curvature information calculated from the same beam curve. The strategy of calculating the curvature information from the same bean curve in the IC2 beam element and then transferring the curvature information to the two-node straight beam element can greatly enhance the accuracy of the mechanical analysis with no extra calculation burden. We then introduce the finite element implementation of the IC2 beam element and verify by the complex curved beam analysis. By comparison with simulation results from the straight two-node beam element in the MIDAS (S2-MIDAS) and the three-node curved beam element adopted in the ANSYS (C3-ANSYS), the simulation results of the typical quarter arc examples under constant or variable curvature show that the IC2 beam element based on curved beam theory is a combination of efficiency and accuracy. And, it is a good choice for analysis of complex engineering rod structure with large initial curvature.

AN ACCURATE CURVED BEAM ELEMENT BASED ON TRIGONOMETRICAL MIXED POLYNOMIAL FUNCTION

2013 ◽  
Vol 13 (04) ◽  
pp. 1250084 ◽  
Author(s):  
Y. Q. TANG ◽  
Z. H. ZHOU ◽  
S. L. CHAN
Keyword(s):  
Strain Energy ◽  
Polynomial Function ◽  
Beam Element ◽  
High Accuracy ◽  
Curved Beam ◽  
Curved Beam Element ◽  
Straight Beam ◽  
Beam Section ◽  
Displacement Based ◽  
The Relationship

A displacement-based, novel curved beam element is proposed for efficient and reliable analysis of frames composed of curved members. The accuracy of the proposed element is not controlled by the subtended angle of the element with the angle up to π. In contrast to the conventional method, the interpolation function for displacement is based on the infinitesimal straight beam sections extracted from the curved element. Consequently, the strain energy of the curved beam element can be integrated by the infinitesimal sections along the element length. The relationship between the displacements and the corresponding strains in the straight beam is simpler than that in the curvilinear co-ordinate description widely adopted by many researchers in their element derivations. This technique is formulated to avoid couplings between the tangential and radial displacement variables in the strain field and its successful utilization is also demonstrated herein. Furthermore, the relation between displacements and strains of the infinitesimal straight beam section is equivalent to that of the curved beam in the curvilinear co-ordinate description. Finally, the analysis results of several bench marked examples by the proposed curved beam element are presented. The results show the high accuracy and efficiency of the proposed element against the classical curved beam element.

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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