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- W1967592628 abstract "ABSTRACT Shallow, linearly elastic arches of unspecified form but with given uniform cross section and material are considered. For given span and length of the arch, two different optimization problems are formulated and solved. In the first, we determine the form of the arch which maximizes the fundamental vibration frequency. The corresponding vibration mode turns out to be either symmetric or antisymmetric. In the second, a static load with given spatial distribution is considered, and the critical value of the load magnitude for snap-through instability is maximized. This instability may occur at a limit point or a bifurcation point. Optimal forms are determined for sinusoidal loading, uniform loading, and a central concentrated load. In both types of problems, arches with simply supported or clamped ends are considered, and the maximum frequencies and critical loads obtained are compared to those for a circular arch with similar end conditions. In all the cases with simply supported ends, it is foun..." @default.
- W1967592628 created "2016-06-24" @default.
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- W1967592628 date "1983-01-01" @default.
- W1967592628 modified "2023-09-25" @default.
- W1967592628 title "Optimal Forms of Shallow Arches with Respect to Vibration and Stability" @default.
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- W1967592628 doi "https://doi.org/10.1080/03601218308907433" @default.
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