• Nuclear Engineering and Technology
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• v.31 no.2
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• pp.214-225
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• 1999

An accurate method is presented for flexural vibrations of sectorial plates having simply supported-free and free-free radial edges, when the circular edge is either clamped or simply supported. The classical Ritz method is employed with two sets of admissible functions assumed for the transverse vibratory displacements. These sets consist of : (1) mathematically complete algebraic-trigonometric polynomials which gurantee convergence to exact frequencies as sufficient terms are retained, and (2) comer functions which account for the bending moment singularities at re-entrant comer of the radial edges having arbitrary edge conditions. Accurate (at least four significant figures) frequencies and normalized contours of the transverse vibratory displacement are presented for the spectra of corner angles [90$^{\circ}$, 180$^{\circ}$(semi-circular), 270$^{\circ}$, 300$^{\circ}$, 330$^{\circ}$, 350$^{\circ}$, 355$^{\circ}$, 360$^{\circ}$ (complete circular)] causing a re-entrant comer of the radial edges. Future solutions drawn from alternative numerical procedures and finite element techniques may be compared with these accurate results.

• Journal of Convergence Society for SMB
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• v.6 no.1
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• pp.25-32
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• 2016

With the change and development of modem architecture, architectural configurations are increasingly diversified and irregular. However, the building configurations without proper seismic considerations may cause severe damages under earthquake loads. Therefore, it is necessary to establish and implement more properly classified, specific and advanced conceptual seismic design strategies. This study explores the relationship between building configurations and seismic performance by adopting several horizontal building configurations with various re-entrant corners. For the clear comparison of five different horizontal configuration models, almost aspects of structural properties are equalized. The equivalent static analyses are conducted with the aim of understanding the characteristics of various re-entrant comers under standard earthquake loads. The seismic advantages of regular configuration model are clearly approved and the structural weak points at the re-entrant comers are investigated numerically and graphically.