Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300874844> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4300874844 abstract "We present results of linear and nonlinear motions of a parametrically driven coplanar double pendulum with velocity-dependent damping. The equations of motion of a damped double pendulum of unequal masses with its pivot vibrated vertically are different from those obtained under gravity modulation. Linear stability analysis shows that tongue-shaped marginal stability curves divide the plane of driving parameters into multiple regions of subharmonic and harmonic instabilities. The instability zones for one normal mode overlap with those for the other. The double pendulum may oscillate or rotate about its pivot harmonically or subharmonically. The limit cycles corresponding to the normal mode oscillations of a double pendulum of equal masses are squeezed into a line in its configuration space. For unequal masses, two marginal curves for subharmonic instabilities merge to form a double-well shaped curve in the presence of damping, which is qualitatively new. The pendulum shows driving amplitude sensitive multi-period complex oscillations for driving parameters near the extrema of the merged instability zones and boundaries of the overlapping zones. For larger driving amplitude, the pendulum shows subharmonic, harmonic or chaotic rotations. The Lyapunov exponents are computed numerically as a function of driving amplitude for some cases." @default.
- W4300874844 created "2022-10-04" @default.
- W4300874844 creator A5062524477 @default.
- W4300874844 creator A5071150677 @default.
- W4300874844 creator A5076565028 @default.
- W4300874844 date "2022-08-02" @default.
- W4300874844 modified "2023-09-27" @default.
- W4300874844 title "Parametrically driven damped coplanar double pendulum" @default.
- W4300874844 doi "https://doi.org/10.48550/arxiv.2208.03292" @default.
- W4300874844 hasPublicationYear "2022" @default.
- W4300874844 type Work @default.
- W4300874844 citedByCount "0" @default.
- W4300874844 crossrefType "posted-content" @default.
- W4300874844 hasAuthorship W4300874844A5062524477 @default.
- W4300874844 hasAuthorship W4300874844A5071150677 @default.
- W4300874844 hasAuthorship W4300874844A5076565028 @default.
- W4300874844 hasBestOaLocation W43008748441 @default.
- W4300874844 hasConcept C110639684 @default.
- W4300874844 hasConcept C120665830 @default.
- W4300874844 hasConcept C121332964 @default.
- W4300874844 hasConcept C134306372 @default.
- W4300874844 hasConcept C152442685 @default.
- W4300874844 hasConcept C158622935 @default.
- W4300874844 hasConcept C167183279 @default.
- W4300874844 hasConcept C180205008 @default.
- W4300874844 hasConcept C192921069 @default.
- W4300874844 hasConcept C207821765 @default.
- W4300874844 hasConcept C33923547 @default.
- W4300874844 hasConcept C57879066 @default.
- W4300874844 hasConcept C62520636 @default.
- W4300874844 hasConcept C74650414 @default.
- W4300874844 hasConceptScore W4300874844C110639684 @default.
- W4300874844 hasConceptScore W4300874844C120665830 @default.
- W4300874844 hasConceptScore W4300874844C121332964 @default.
- W4300874844 hasConceptScore W4300874844C134306372 @default.
- W4300874844 hasConceptScore W4300874844C152442685 @default.
- W4300874844 hasConceptScore W4300874844C158622935 @default.
- W4300874844 hasConceptScore W4300874844C167183279 @default.
- W4300874844 hasConceptScore W4300874844C180205008 @default.
- W4300874844 hasConceptScore W4300874844C192921069 @default.
- W4300874844 hasConceptScore W4300874844C207821765 @default.
- W4300874844 hasConceptScore W4300874844C33923547 @default.
- W4300874844 hasConceptScore W4300874844C57879066 @default.
- W4300874844 hasConceptScore W4300874844C62520636 @default.
- W4300874844 hasConceptScore W4300874844C74650414 @default.
- W4300874844 hasLocation W43008748441 @default.
- W4300874844 hasOpenAccess W4300874844 @default.
- W4300874844 hasPrimaryLocation W43008748441 @default.
- W4300874844 hasRelatedWork W1593830028 @default.
- W4300874844 hasRelatedWork W2016659632 @default.
- W4300874844 hasRelatedWork W2018121048 @default.
- W4300874844 hasRelatedWork W2029092748 @default.
- W4300874844 hasRelatedWork W2065909559 @default.
- W4300874844 hasRelatedWork W2337246612 @default.
- W4300874844 hasRelatedWork W2354515716 @default.
- W4300874844 hasRelatedWork W2377687907 @default.
- W4300874844 hasRelatedWork W3017738092 @default.
- W4300874844 hasRelatedWork W4286484973 @default.
- W4300874844 isParatext "false" @default.
- W4300874844 isRetracted "false" @default.
- W4300874844 workType "article" @default.