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7: Undamped Second Order Systems

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    The ideal 2nd order mass-damper-spring system was introduced in Section 1.9, and a theoretical response solution for an undamped system by elementary ODE methods was demonstrated in Section 1.10. In this chapter, we explore ideal undamped 2nd order systems in greater detail, deriving theoretical response solutions by means of Laplace transformation with application of the inverse convolution transform from Chapter 6. The final section of this chapter is an introduction to vibration of real structures, including actual laboratory data.

    This page titled 7: Undamped Second Order Systems is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by William L. Hallauer Jr. (Virginia Tech Libraries' Open Education Initiative) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.