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- W2028604691 abstract "A flat plate, reinforced by a regular orthogonal array of uniform beams, is analyzed by using techniques developed for studying wave propagation in two-dimensional periodic structures. A “plane-wave” type of motion is considered which may be characterized by different propagation phase constants in the x- and y-directions. The hierarchical finite element method is used to set up the governing equations of free wave motion, and these are then solved as an eigenvalue problem for the frequencies at which particular waves will propagate. Plots of phase constant surfaces vs. frequency are presented for a number of different plate-beam configurations. Excellent agreement is found between some of these and the results of earlier investigators. When the plate is supported by flexible beams in both directions, wave propagation is found to commerce at zero frequency. At higher frequencies alternating (and overlapping) attenuation and propagation bands occur. The nature and explanations of these are discussed. Wave speed surfaces vs. frequency are also presented and these give insight into the critical coincidence frequencies of the plate under acoustic excitation." @default.
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- W2028604691 date "1988-11-01" @default.
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- W2028604691 title "Free vibration of an orthogonally stiffened flat plate" @default.
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- W2028604691 doi "https://doi.org/10.1016/0022-460x(88)90348-3" @default.
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