Determination of the Natural Modes of a Ballast Layer

Author(s):  
A. Aikawa
Keyword(s):  
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.


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.


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

2021 ◽  
Vol 19 (1) ◽  
pp. 1-10
Author(s):  
Seidulla S. Abdullayev ◽  
Gabit B. Bakyt ◽  
Muslim N. Aikumbekov ◽  
Ivan S. Bondar ◽  
Yerlan T. Auyesbayev

Currently, there are many software systems and environments that allow you to simulate and perform fairly complex and voluminous calculations associated with dynamic effects on structural elements of overpasses. The aim of the article is to make an analysis of a reinforced concrete railway overpass as a whole and its elements separately. The article presents the calculated and experimental data of the forms and frequencies of natural vibrations of reinforced concrete railway overpasses under constant loads and the rolling stock off the span. As a result of the analysis of the tests, it was determined that the effect of the rolling stock passing through the reinforced concrete beam spans of 16.5 m and 23.6 m appears with frequency perturbations that are in the range f = 4.41 ÷ 9.52 Hz. These studies can be further used in the design of artificial structures, as well as to identify defects in structural elements of railway bridges.


Author(s):  
Jozef Melcer ◽  
Daniela Kuchárová ◽  
Mária Kúdelčíková

Abstract There are characteristics that uniquely define the properties of dynamical systems from the point of its dynamical response. For example, natural frequencies and natural modes or frequency response functions can be assigned to these characteristics. Determination of these characteristics is fixed on the selection of computational model and on the means of structure excitation. This contribution discusses about analysis of such characteristics.


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