Special characteristics of the trial load method of analysis for arch dams, with reference to the theory of shells

Rozin, L.A.

doi:10.1007/bf02377922

Hydrotechnical Construction

1969

DOI: 10.1007/bf02377922

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Special characteristics of the trial load method of analysis for arch dams, with reference to the theory of shells

L.A. Rozin¹

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1972

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In engineering practice, the u'ial-load method is widely used for the analysis of arch dams [1,2].

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Computer analysis of arch dams by the method of cantilever-arch directions

Bronshtein¹,

Ivanishchev²

1972

Hydrotechnical Construction

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We present here a description of the method of cantilever-arch directions (MCAD)* for the computer determination of the interaction loads between the arch and cantilever systems from the condition of equality of the corresponding displacements in the analysis of arch dams by the triai-load method. MCAD is a specific iterative procedure for solution of the equations that arise in the triai-load method, similar to the method of "variable directions" ("individual steps"), which is well known in mathematical physics. The use of MCAD permits fully automating the analysis of arch dams by the trialqoad method.In engineering practice, the u'ial-load method is widely used for the analysis of arch dams [1,2]. Many model and prototype investigations, comparisons with other methods of analysis, and also theoretical investigations [3-3, et al.] confirm the high effectiveness of this method for the analysis of arch and gravity-arch dams. While the methods based on the use of the theory of thin shells permit analyzing only relatively thin dams (for a ratio of thickness to radius of curvature d/Rma x < 0.1-0.3), the trial-load method may be used for the analysis of thin as well as relatively thick arch and gravity-arch dams.The investigations carried out in recent years (L. A. Rozin, A. P. Filin, L. A. Gordon, L Lombardi, G. Naimi, et al.) disclosed the theoretical premises for the development of a method of analysis for continuous structures (such as shells) based a specific "fictitious" bar model. It was found that the basic relationships of the trial-load method are similar to the differential equations of the theory of middle shells according to ~. Reisner [3,4]. Thus, the trialload method (cantilever-arch) may be considered as one of the possible methods of integration of the equations which arise in the theory of middle shells, taking into consideration the specific characteristics of the analysis of archdams.Tbe analysis of arch dams by the trial-load method [i, 2] consists of the following steps: a) an analytical scheme for the dam is selected in the form of a system of "fictitious" intercrossed bars and the geometrical parameters of the elements are determined; b) the deflections and angles of torsion-rotation as well as the forces in the elements (arch and cantilever systems) under a selected system of unit loads (coordinate functions) are calculated; c) the equalization problem is solved-the interaction loads between the arch and cantilever systems are determined from the condition of equality of the deflec~i0ns and angles of torsion-rotation at the nodes of the analytical scheme; d) the forces and stresses ir~ the dam are determined from the known interaction loads.The analytical procedures for steps a, b, and d are very simple and may be easily carried out with the aid of a computer. Until a few years ago, the computations required for step c were made manually by experienced designers by selecting uiai distributions of the interaction loads. The analytical formulation of this procedure is very difficalt.Instead ...

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“…

In engineering practice, the u'ial-load method is widely used for the analysis of arch dams [1,2].

…”

mentioning

confidence: 99%

“…Reisner [3,4]. It was found that the basic relationships of the trial-load method are similar to the differential equations of the theory of middle shells according to ~.…”

mentioning

confidence: 99%

Computer analysis of arch dams by the method of cantilever-arch directions

Bronshtein¹,

Ivanishchev²

1972

Hydrotechnical Construction

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Special characteristics of the trial load method of analysis for arch dams, with reference to the theory of shells

Cited by 1 publication

References 3 publications

Computer analysis of arch dams by the method of cantilever-arch directions

Computer analysis of arch dams by the method of cantilever-arch directions

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