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- W2364831840 abstract "The problem of investigating the vibration properties of continuous girders on elastic piers frequently occurs in practical design work. An approximate method of attack is to replace the elastic pier by a spring support. This method simplifies greatly the analysis and is generally adopted in practice. In the first part of this paper, this approximate method is investigated in detail and complete solutions including the effect of initial conditions are given. The computations are made more systematic and simple by the adoption of a system of constants defined as the dynamic shape constants and load constants of the structure. In the second part of this paper, the more accurate method of analysis is investigated. The exact frequency equations of the system are obtained by writing down the dynamic equations of the girders and the piers simultaneously and the boundary conditions are taken into consideration. It is shown that by taking only the fist one or two terms of the series expansions, the exact frequency equation reduces to the approximate one. It is concluded that the approximate method will give adequate solutions in the case when the piers are rigid and when only the lower frequencies of the natural mode need be considered. Particular solutions of structures under transverse vibrations are worked out and is found more involved than that given by the approximate method." @default.
- W2364831840 created "2016-06-24" @default.
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- W2364831840 date "1956-01-01" @default.
- W2364831840 modified "2023-09-25" @default.
- W2364831840 title "VIBRATIONS OF CONTINUOUS GIRDERS ON ELASTIC PIERS" @default.
- W2364831840 hasPublicationYear "1956" @default.
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