Abstract
In Part I we analyzed and obtained the dynamic response for structures modeled as a single-degree-of-freedom system. Only if the structure can assume a unique shape during its motion will the single-degree model provide the exact dynamic response. Otherwise, when the structure takes more than one possible shape during motion, the solution obtained from a single-degree model will be at best, only an approximation to the true dynamic behavior.
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Notes
- 1.
Matrix [A] is defined as positive definite if it satisfies the condition that for any arbitrary nonzero vector {υ}, the product {υ)T [A]{υ} > 0.
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Paz, M., Kim, Y.H. (2019). Free Vibration of a Shear Building. In: Structural Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-94743-3_7
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DOI: https://doi.org/10.1007/978-3-319-94743-3_7
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