2004 | OriginalPaper | Buchkapitel
The Free and Forced Vibration of an Automobile
Erschienen in: Mathematical Modelling
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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This project considers the free and forced vibrations of an automobile supported by springs and shock absorbers. By using Newton’s second law of motion, a mathematical model is formulated taking into account the damping force and the spring force. The case where the car is subject to periodic force is analyzed in detail. In this way it is possible to examine how the amplitude magnification factor varies with the ratio of the forcing and natural frequencies for a range of damping factors.The realistic problem of determining the stability of a proposed design which has good comfort on rough roads in then considered. Of course, a number of modelling assumptions, including the use of realistic data, are required to achieve meaningful results. The numerical results are validated using MAPLE and MATLAB.