TY - JOUR

T1 - Non-dimensional equation of motion of a two-dimensional beam using stiffness matrices based on structural mechanics in the absolute nodal coordinate formulation

AU - Kang, Ji Heon

AU - Lee, Jae Wook

AU - Jang, Jin Seok

AU - Choi, Chang Young

AU - Kim, Kun Woo

N1 - Publisher Copyright:
© 2020 The Korean Society of Mechanical Engineers.

PY - 2020

Y1 - 2020

N2 - The absolute nodal coordinate formulation is a technique for representing large rotations and deformations in flexible multibody dynamics. This technique has the advantage of representing large deformations; however, its disadvantage is the increased analysis time owing to the highly nonlinear stiffness matrix. In this study, a non-dimensional equation of motion is developed to reduce the analysis time. The two-dimensional equation of motion can be converted into a non-dimensional equation of motion by introducing variables that transform time, length, and force into non-dimensional variables. In particular, in this study, six stiffness matrix models are proposed. The analysis efficiency of the developed non-dimensional equation of motion is verified through a free-falling pendulum example, and proven through the straight avoidance behavior of a flexible hose. The results confirm that the developed equation of motion is more efficient than the dimensional equation of motion for solving two-dimensional problems.

AB - The absolute nodal coordinate formulation is a technique for representing large rotations and deformations in flexible multibody dynamics. This technique has the advantage of representing large deformations; however, its disadvantage is the increased analysis time owing to the highly nonlinear stiffness matrix. In this study, a non-dimensional equation of motion is developed to reduce the analysis time. The two-dimensional equation of motion can be converted into a non-dimensional equation of motion by introducing variables that transform time, length, and force into non-dimensional variables. In particular, in this study, six stiffness matrix models are proposed. The analysis efficiency of the developed non-dimensional equation of motion is verified through a free-falling pendulum example, and proven through the straight avoidance behavior of a flexible hose. The results confirm that the developed equation of motion is more efficient than the dimensional equation of motion for solving two-dimensional problems.

KW - Absolute nodal coordinate

KW - Analysis efficiency

KW - Non-dimensional equation of motion

KW - Structural mechanics

KW - Two-dimensional beam

UR - http://www.scopus.com/inward/record.url?scp=85102398280&partnerID=8YFLogxK

U2 - 10.3795/KSME-A.2020.44.8.581

DO - 10.3795/KSME-A.2020.44.8.581

M3 - Article

AN - SCOPUS:85102398280

SN - 1226-4873

VL - 44

SP - 581

EP - 588

JO - Transactions of the Korean Society of Mechanical Engineers, A

JF - Transactions of the Korean Society of Mechanical Engineers, A

IS - 8

ER -