32,173 research outputs found
Strange pulsation modes in luminous red giants
We show that the spectrum of radial pulsation modes in luminous red giants
consists of both normal modes and a second set of modes with periods similar to
those of the normal modes. These additional modes are the red giant analogues
of the strange modes found in classical Cepheids and RR Lyrae variables. Here,
we describe the behaviour of strange and normal modes in luminous red giants
and discuss the dependence of both the strange and normal modes on the outer
boundary conditions. The strange modes always appear to be damped, much more so
than the normal modes. They should never be observed as self-excited modes in
real red giants but they may be detected in the spectrum of solar-like
oscillations. A strange mode with a period close to that of a normal mode can
influence both the period and growth rate of the normal mode.Comment: 6 pages, 5 figures, accepted by MNRA
Singular inextensible limit in the vibrations of post-buckled rods: analytical derivation and role of boundary conditions
In-plane vibrations of an elastic rod clamped at both extremities are studied. The rod is modeled as an extensible planar Kirchhoff elastic rod under large displacements and rotations. Equilibrium configurations and vibrations around these configurations are computed analytically in the incipient post-buckling regime. Of particular interest is the variation of the first mode frequency as the load is increased through the buckling threshold. The loading type is found to have a crucial importance as the first mode frequency is shown to behave singularly in the zero thickness limit in case of prescribed axial displacement, whereas a regular behavior is found in the case of prescribed axial load
Book Review: Euroscepticism within the EU institutions: diverging views of europe
Since its origins, there have been competing views concerning the nature, scope and objectives of the process of integration and of the European Union. Attitudes towards Europe and European integration, both among political elites and citizens, have been much studied over the last 15 years. But there is no comprehensive analysis of these competing views of Europe at the supranational level. Stuart A. Brown reviews Nathalie Brack and Olivier Costa’s edited collection on the divergence in views about the European Union, which lends insight into its consequences for the functioning of the EU and its institutions
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