Topology optimization of thin-walled box beam structures based on the higher-order beam theory

2015 ◽  
Vol 106 (7) ◽  
pp. 576-590 ◽  
Author(s):  
Do-Min Kim ◽  
Suh In Kim ◽  
Soomin Choi ◽  
Gang-Won Jang ◽  
Yoon Young Kim
Keyword(s):  
Topology Optimization ◽  
Beam Theory ◽  
Higher Order ◽  
Beam Structures ◽  
Box Beam ◽  
Thin Walled

Exact Matching Condition at a Joint of Thin-Walled Box Beams Under Out-of-Plane Bending and Torsion

2012 ◽  
Vol 79 (5) ◽  
Author(s):  
Soomin Choi ◽  
Gang-Won Jang ◽  
Yoon Young Kim
Keyword(s):  
Beam Theory ◽  
Matching Condition ◽  
Higher Order ◽  
Transformation Matrix ◽  
Exact Matching ◽  
Box Beam ◽  
Out Of Plane ◽  
Box Beams ◽  
Thin Walled ◽  
Plane Bending

To take into account the flexibility resulting from sectional deformations of a thin-walled box beam, higher-order beam theories considering warping and distortional degrees of freedom (DOF) in addition to the Timoshenko kinematic degrees have been developed. The objective of this study is to derive the exact matching condition consistent with a 5-DOF higher-order beam theory at a joint of thin-walled box beams under out-of-plane bending and torsion. Here we use bending deflection, bending/shear rotation, torsional rotation, warping, and distortion as the kinematic variables. Because the theory involves warping and distortion that do not produce any force/moment resultant, the joint matching condition cannot be obtained just by using the typical three equilibrium conditions. This difficulty poses considerable challenges because all elements of the 5×5 transformation matrix relating the field variables of one beam to those in another beam should be determined. The main contributions of the investigation are to propose additional necessary conditions to determine the matrix and to derive it exactly. The validity of the derived joint matching transformation matrix is demonstrated by showing good agreement between the shell finite element results and those obtained by the present box beam analysis in various angle box beams.

Higher-order beam theory for static and vibration analysis of composite thin-walled box beam

2018 ◽  
Vol 206 ◽  
pp. 140-154 ◽  
Author(s):  
Dongil Shin ◽  
Soomin Choi ◽  
Gang-Won Jang ◽  
Yoon Young Kim
Keyword(s):  
Vibration Analysis ◽  
Beam Theory ◽  
Higher Order ◽  
Box Beam ◽  
Thin Walled

scholarly journals Theoretical and Experimental Analysis of Thin-Walled Curved Rectangular Box Beam under In-Plane Bending

Scanning ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Long Yanze ◽  
Zhang Ke ◽  
Shi Huaitao ◽  
Li Songhua ◽  
Zhang Xiaochen
Keyword(s):  
Finite Element ◽  
Test Theory ◽  
Theoretical Formula ◽  
Curved Beams ◽  
Beam Structures ◽  
Box Beam ◽  
Assumed Strain ◽  
Thin Walled ◽  
Plane Bending ◽  
Deformation Modes

Thin-walled curved box beam structures especially rectangular members are widely used in mechanical and architectural structures and other engineering fields because of their high strength-to-weight ratios. In this paper, we present experimental and theoretical analysis methods for the static analysis of thin-walled curved rectangular-box beams under in-plane bending based on 11 feature deformation modes. As to the numerical investigations, we explored the convergence and accuracy analysis by normal finite element analysis, higher-order assumed strain plane element, deep collocation method element, and inverse finite element method, respectively. The out-of-plane and in-plane characteristic deformation vector modes derived by the theoretical formula are superimposed by transforming the axial, tangential, and the normal deformation values into scalar tensile and compression amounts. A one-dimensional deformation experimental test theory is first proposed, formulating the specific contributions of various deformation modes. In this way, the magnitude and trend of the influence of each low-order deformation mode on the distortion and warping in the actual deformation are determined, and the significance of distortion and warping in the actual curved beams subjected to the in-plane loads is verified. This study strengthens the deformation theory of rectangular box-type thin-walled curved beams under in-plane bending, thus providing a reference for analyzing the mechanical properties of curved-beam structures.

A refined higher-order composite box beam theory

1996 ◽  
Author(s):  
Thomas McCarthy ◽  
Aditi Chattopadhyay
Keyword(s):  
Beam Theory ◽  
Higher Order ◽  
Box Beam ◽  
Composite Box Beam
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