Abstract
The first step for performing a dynamic analysis is to set up the equations of motions. We start with Newton’s second law, which is followed by the virtual work principle (D’Alembert’s principle), Hamilton’s principles, and Lagrange’s equations. We shall also see the important role of energy in the study of dynamic analysis. It is noted that each of the formulations basically represents the same dynamic equilibrium but in a unique form of expression.
Although all dynamic modelings are essentially “lies,” in this book I try to present those that may prove useful about a dynamic system in the real world.
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© 2014 Springer-Verlag Berlin Heidelberg
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Jia, J. (2014). Governing Equation of Motions. In: Essentials of Applied Dynamic Analysis. Risk Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37003-8_2
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DOI: https://doi.org/10.1007/978-3-642-37003-8_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37002-1
Online ISBN: 978-3-642-37003-8
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