Determination of the natural modes for a rectangular plate (transient scattering)

1990 ◽  
Vol 38 (5) ◽  
pp. 643-652 ◽  
Author(s):  
W. Sun ◽  
K.-M. Chen ◽  
D.P. Nyquist ◽  
E.J. Rothwell
Author(s):  
Abdelmadjid Tadjadit ◽  
Boualem Tiliouine

Analytical expressions for the determination of hydro-seismic forces acting on a rigid dam with irregular upstream face geometry in presence of a compressible viscous fluid are derived through a linear combination of the natural modes of water in the reservoir based on a boundary method making use of complete sets of complex T-functions.Analytical expressions for the determination of hydro-seismic forces acting on a rigid dam with irregular upstream face geometry in presence of a compressible viscous fluid are derived through a linear combination of the natural modes of water in the reservoir based on a boundary method making use of complete sets of complex T-functions. The formulas obtained for distributions of both shear forces and overturning moments are simple, computationally effective and useful for the preliminary design of dams. They show clearly the separate and combined effects of compressibility and viscosity of water. They also have the advantage of being able to cover a wide range of excitation frequencies even beyond the cut-off frequencies of the natural modes of the reservoir. Key results obtained using the proposed analytical expressions of the hydrodynamic forces are validated using numerical and experimental solutions published for some particular cases available in the specialized literature.


1989 ◽  
Vol 24 (5) ◽  
pp. 500-506
Author(s):  
V. V. Panasyuk ◽  
G. S. Ivanitskaya ◽  
A. I. Zboromirskii ◽  
M. V. Iyanovich ◽  
O. P. Ostash ◽  
...  

1966 ◽  
Vol 3 (01) ◽  
pp. 66-79
Author(s):  
Robert D. Short

Six methods for calculating the natural frequency and mode shapes of cross-stiffened plating were examined particularly for their application to plating with a large number of small closely spaced stiffeners in one direction supported by a few deep girders in the other. The best method was able to predict at least 1 6 frequencies (all that were measured) of a model with a maximum error of less than 15 percent when proper boundary conditions were used. The maximum error in nodal-line locations for the best method was 5.2 percent of the span


Maska ◽  
2017 ◽  
Vol 32 (185) ◽  
pp. 64-74
Author(s):  
Bruno Besana

Although constantly intertwining aesthetic and political considerations, the work of Rancière also forcefully stresses the absence of any evidence in the relation between art and politics. The article uses the theme of this lack of self-evident relation in order to analyse a series of key-concepts of Rancière’s work (regime, contrariété, disagreement, etc.) and, lastly, proposes to read through this reconstruction of its conceptual architecture the place – both conceptual and practical – where a subject can be thought and produced. In this sense, this article proposes to read in Rancière’s work the presence of a structured concept of the subject, the very determination of which is inseparable from the – at once collective and singular – articulation of a space of indetermination and fracture: a space articulating the absence of relation between different modes of interruption of evidences, taking place in the arts and in politics. In this way, Rancière’s work contributes to thinking the subject as groundless, irrelative to any given, specific reality (such as, for instance, ‘humanity’), as a new form connecting together, via a radically new narrative, a series of fractures operated within received, allegedly ‘natural’ modes of classifications of reality.


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