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Part of the book series: Synthesis Lectures on Biomedical Engineering ((SLBE))

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Abstract

This chapter will review the methods of writing differential equations for translation mechanical systems. Recall Newton’s law, which basically states that the sum of all forces must equal zero. Newton’s law may be restated as, “The sum of applied forces must equal the sum of reactive forces.” In a similar manner that resistance, inductance, and capacitance are the characterizing elements of electric systems, there are three characterizing elements in mechanical systems: mass, elastance, and damping. Similar to an electrical circuit network, a mechanical network is drawn for a mechanical system [1].

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REFERENCES

  1. Chestnut, H., and Mayer, R. W., Servomechanisms and Regulating Systems, John Wiley & Sons, New York, 1954.

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  2. Lewis, P. H., and Yang, C., Basic Control Systems Engineering, Prentice-Hall, Upper Saddle River, NJ, 1997.

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  3. Phillips, C. L., and Harbor, R. D., Feedback Control Systems, 4th ed., Upper Saddle River, NJ, 2000.

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Lessard, C.S. (2009). Mechanical Translation Systems. In: Basic Feedback Controls in Biomedicine. Synthesis Lectures on Biomedical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-01634-9_2

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