The Concept of Dynamic Stability

Simitses, George J.

doi:10.1007/978-1-4612-3244-5_5

Cited by 1 publication

(1 citation statement)

References 21 publications

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“…The dynamic stability and instability of simple structures, such as beams, 2–5 plates, 6,7 and shells, 8,9 have attracted much attention from researchers. Simitses 10 well reviewed and compared a large variety of concepts and criteria developed by the 1980s. For example, the Budiansky-Roth 11 criterion was developed to find critical conditions when structures were subjected to suddenly applied loads with constant magnitude and infinite duration.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of sandwich panels subjected to periodic axial loads

Yuan

Kardomateas

2023

Jnl of Sandwich Structures & Materials

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This paper presents an analysis for the dynamic stability of sandwich beams/wide plates subjected to periodic axial loads. The formulation of the problem is done by use of the Extended High-order Sandwich Panel Theory (EHSAPT). The equations of motion are derived from Hamilton’s principle and are expressed in terms of seven generalized displacements. A sandwich panel with simply supported edges is studied as an example, and the equations of motion for a given harmonic n are further derived. Two time-variations for the axial forces, namely, harmonic axial forces and step-wise periodic axial forces, are considered in this work. By considering the features of these two periodic load profiles, Floquet theory and Bolotin’s method are adopted to perform the dynamic stability analysis. Sandwich panels with different face-to-core thickness ratios are studied. Stability maps for varying frequency and amplitude of the forces are presented. Numerical examples show that when a sandwich panel is subjected to periodic loads, it is possible that it can experience dynamic instability even when the dynamic loads are much lower than the static critical loads.

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