보정단일요소 SEM을 이용한 이동하중이 작용하는 보의 진동해석

초록

This study presents the modified one-element method (MOEM) based on the spectral element method (SEM), for the vibration analysis of beam subjected to a moving point force. From the discrete Fourier transform theory, moving point force in time domain is transformed to a series of stationary point force in frequency domain. Using the MOEM, inaccurate dynamic responses obtained from the conventional SEM-based one-element method (OEM) are improved by adding some correction terms that are given in closed analytical forms. By superposing the individual dynamic responses due to each stationary point force, desired dynamic responses subjected to a moving point force can be obtained. By comparing with other techniques such as modal analysis method and finite element method, the accuracy and efficiency of present method is verified.