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http://dx.doi.org/10.5139/JKSAS.2007.35.1.040

Constructing Equations of Motion for a Dynamic System from Modal Parameters  

Hwang, Woo-Seok (대구대학교 자동차.산업.기계공학부)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.35, no.1, 2007 , pp. 40-45 More about this Journal
Abstract
Modal analysis or modal test is a routine process to get the modal parameters of a dynamic system. The modal parameters include the natural frequencies, damping ratios and mode shapes. This paper presents a method that can derive the equations of motion for a dynamic system from the modal parameters obtained by the modal analysis or modal test. The present method based on the relation between the eigenvalues and eigenvectors of the state space equation derives the mass, damping and stiffness matrices of the system. The numerical verifications for the simple mass-spring-damper system and the cantilevered beam prove the efficiency and accuracy of the present method.
Keywords
Modal Parameter; Dynamic System; Equations of Motion; Modal Analysis; Modal Test;
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