20th Century Graphical and Numerical Methods

  • J. S. Rao
Part of the History of Mechanism and Machine Science book series (HMMS, volume 20)


With the rapid growth of rotating machinery from the beginning of the 20th century, there was a need to determine the natural frequencies in an industrial environment by rapid means that can be established to handle various design problems. Methods were devised to streamline and develop fool-proof methods which semi-skilled engineers could handle in the shortest possible time with minimum errors. These methods continued to play a significant role until recently; they are only now being phased out in industry in favor of finite element methods.


Cantilever Beam Critical Speed Torsional Vibration Aircraft Wing Propeller Shaft 
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  • J. S. Rao

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