Consistent higher-order beam theory for thin-walled box beams using recursive analysis: Membrane deformation under doubly symmetric loads

2019 ◽  
Vol 197 ◽  
pp. 109430 ◽  
Author(s):  
Soomin Choi ◽  
Yoon Young Kim
Keyword(s):  
Beam Theory ◽  
Higher Order ◽  
Membrane Deformation ◽  
Recursive Analysis ◽  
Box Beams ◽  
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.

Analysis of flexural natural vibrations of thin‐walled box beams using higher order beam theory

2019 ◽  
Vol 28 (14) ◽  
Author(s):  
Lizhong Jiang ◽  
Jian Yu ◽  
Wangbao Zhou ◽  
Yulin Feng ◽  
Xilin Chai
Keyword(s):  
Beam Theory ◽  
Higher Order ◽  
Natural Vibrations ◽  
Box Beams ◽  
Thin Walled

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

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

Analysis of thin-walled beam-shell structures for concept modeling based on higher-order beam theory

2018 ◽  
Vol 195 ◽  
pp. 16-33 ◽  
Author(s):  
Ngoc-Linh Nguyen ◽  
Gang-Won Jang ◽  
Soomin Choi ◽  
Jaeyong Kim ◽  
Yoon Young Kim
Keyword(s):  
Beam Theory ◽  
Higher Order ◽  
Shell Structures ◽  
Thin Walled ◽  
Concept Modeling
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