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http://dx.doi.org/10.3795/KSME-A.2017.41.1.031

Non-Dimensional Analysis of a Two-Dimensional Beam Using Linear Stiffness Matrix in Absolute Nodal Coordinate Formulation  

Kim, Kun Woo (Korea Institute of Industrial Technology)
Lee, Jae Wook (Korea Institute of Industrial Technology)
Jang, Jin Seok (Korea Institute of Industrial Technology)
Oh, Joo Young (Korea Institute of Industrial Technology)
Kang, Ji Heon (School of Mechanical Engineering, Pusan Nat'l Univ.)
Kim, Hyung Ryul (Agency for Defense Development)
Yoo, Wan Suk (School of Mechanical Engineering, Pusan Nat'l Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.41, no.1, 2017 , pp. 31-40 More about this Journal
Abstract
Absolute nodal coordinate formulation was developed in the mid-1990s, and is used in the flexible dynamic analysis. In the process of deriving the equation of motion, if the order of polynomial referring to the displacement field increases, then the degrees of freedom increase, as well as the analysis time increases. Therefore, in this study, the primary objective was to reduce the analysis time by transforming the dimensional equation of motion to a non-dimensional equation of motion. After the shape function was rearranged to be non-dimensional and the nodal coordinate was rearranged to be in length dimension, the non-dimensional mass matrix, stiffness matrix, and conservative force was derived from the non-dimensional variables. The verification and efficiency of this non-dimensional equation of motion was performed using two examples; cantilever beam which has the exact solution about static deflection and flexible pendulum.
Keywords
Absolute Nodal Coordinate Formulation; Non-Dimensional Analysis; Two-Dimensional Beam; Linear Stiffness Matrix;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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