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Numerical-axis Method for Establishing the Mathematical Model of Mass-spring-damper System
BAI Yan-yan;ZHANG Xiao-jun
2012, 32 (3):
59-62.
DOI: 10.3969/j.issn.1006-1355.2012.03.014
A simple method called Numerical-Axis-Method for establishing the mathematical models of the common mass-spring-damper systems was put forward. In establishing the mathematical model, a numerical-axis parallel to the system was built, and the displacements of the spring or the damper were translated to the rational numbers which were marked on the numerical-axis. Then the magnitude and the direction of spring force or damping force applied to the corresponding mass was determined by comparing the two rational numbers mutually. The application of this method on establishing the mathematical models of mechanical vibration systems was expatiated through a single degree-of-freedom (DOF) system, a double DOF system and a multi-DOF system. The results show that this method was very efficient in establishing the kinematic differential equations of the mass-spring-damper systems.
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