Vibrations of structures. Interactions with fluids. Sources of random excitation.
(Vibrations des structures. Interactions avec les fluides. Sources d’excitation aléatoires. Ecole d’été d’analyse numérique, CEA- EDF-INRIA, au Breau-sans-Nappe, France, du 10 juin au 4 juillet, 1986. Préface de Robert Dautray.)

*(French)*Zbl 0753.73008
Collection de la Direction des Études et Recherches d’Électricité de France. 69. Paris: Éditions Eyrolles, xxv, 676 p. (1988).

The work is organised into three parts. The first entitled ‘Vibrations of mechanical systems’ has four sections A, B, C and D. Section A deals with general classical methods of vibrational analysis based on normal mode analysis and Green functions derived via Laplace transforms. It includes also a discussion of plane waves in three dimensional bodies. The movement from one dimensional to three dimensional mechanical systems is achieved through rather facile analogues. Section B considers examples relating to beams, plates and thin shells. Section C which is rather short relates to how complex systems may be simplified by considering the whole to be an assemblage of interacting simple mechanisms, somewhat like the theory of finite elements. Section D concerns non-conservative systems, sources of damping and instability.

The second part begins with a discussion of acoustic waves and surface gravity waves in non-viscous fluids, moving on to the interaction of incompressible fluids and structures, the examples considered being fairly elementary. Then non-conservative effects due to the production of waves or viscosity are treated The third parts treats random sources of excitation such as turbulence in a fluid flow or seismic disturbance.

The treatment throughout is classical and very obviously aimed at practising engineers. The writing is lucid making the text easy to follow. However, as the work is in the nature of a compendium, it would be of more use as a reference than as a textbook.

The second part begins with a discussion of acoustic waves and surface gravity waves in non-viscous fluids, moving on to the interaction of incompressible fluids and structures, the examples considered being fairly elementary. Then non-conservative effects due to the production of waves or viscosity are treated The third parts treats random sources of excitation such as turbulence in a fluid flow or seismic disturbance.

The treatment throughout is classical and very obviously aimed at practising engineers. The writing is lucid making the text easy to follow. However, as the work is in the nature of a compendium, it would be of more use as a reference than as a textbook.

Reviewer: J.Dunwoody (Belfast)

##### MSC:

74-06 | Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids |

74H45 | Vibrations in dynamical problems in solid mechanics |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |

74H50 | Random vibrations in dynamical problems in solid mechanics |

76Q05 | Hydro- and aero-acoustics |

##### Keywords:

vibrational analysis; normal mode analysis; Green functions; Laplace transforms; plane waves; beams; plates; shells; finite elements; non- conservative systems; instability; acoustic waves; surface gravity waves; non-viscous fluids; incompressible fluids; turbulence; seismic disturbance
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\textit{R.-J. Gibert}, Vibrations des structures. Interactions avec les fluides. Sources d'excitation aléatoires. Ecole d'été d'analyse numérique, CEA- EDF-INRIA, au Breau-sans-Nappe, France, du 10 juin au 4 juillet, 1986. Préface de Robert Dautray. Paris: Éditions Eyrolles (1988; Zbl 0753.73008)