In-plane stability of preloaded shallow arches against dynamic snap-through accounting for rotational end restraints

摘要: Abstract Because the non-linear equilibrium path of a shallow arch has unstable branches, when is subjected to suddenly-applied load, it may lose its stability by dynamic snap-through owing excessive oscillations reaching branch. In practice, arches are usually certain level static loading before sudden load applied. The have profound influence on snap-though instability arch. addition, rotational end restraints an provided adjacent structural members or/and elastic foundations significant influences geometric non-linearity arch, and consequently they against under load. An energy approach used derive buckling loads statically preloaded circular having uniform radial It found that can be susceptible buckling. also influenced significantly magnitude difference relative flexibility restraints. Arches equal upper lower loads, whereas unequal only unique