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Shock and Vibration
Volume 1, Issue 6, Pages 569-583

An Improved Finite Difference Type Numerical Method for Structural Dynamic Analysis

Sung-Hoon Kim and Youn-sik Park

Center for Noise and Vibration Control (NOVIC), Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Science Town, Taejon 305-707, Korea

Received 22 March 1994; Accepted 20 June 1994

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An improved finite difference type numerical method to solve partial differential equations for one-dimensional (1-D) structure is proposed. This numerical scheme is a kind of a single-step, second-order accurate and implicit method. The stability, consistency, and convergence are examined analytically with a second-order hyperbolic partial differential equation. Since the proposed numerical scheme automatically satisfies the natural boundary conditions and at the same time, all the partial differential terms at boundary points are directly interpretable to their physical meanings, the proposed numerical scheme has merits in computing 1-D structural dynamic motion over the existing finite difference numeric methods. Using a numerical example, the suggested method was proven to be more accurate and effective than the well-known central difference method. The only limitation of this method is that it is applicable to only 1-D structure.