DYNAMIC RESPONSE OF LINED AND UNLINED UNDERGROUND OPENINGS,
RAND CORP SANTA MONICA CALIF
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This memorandum presents a brief review of the recent development of stress-wave-cavity interaction problems pertinent to the design of underground openings for protective construction. There exists a considerable amount of recent literature on the dynamic responses of cavities subjected to stress-wave loadings that can be applied to the problem of underground openings. This memorandum, in a systematic manner, outlines and derives each approach and gives the various assumptions in the analyses. Dynamicstress concentration factors for lined and unlined cylindrical cavities subjected to plane-compressional and shear waves of step type and harmonically time-varying waves are derived, and numerical results are given in a parametric form for design purposes. Comparisons between the static case and the dynamic case are also given. The results in this memorandum indicate that under the assumptions of earth media being elastic, homogeneous, and isotropic, the dynamic-stress concentration factors for all cylindrical-cavity cases, whether elastically lined or unlined, are all about 10 to 20 per cent higher than those for their corresponding static cases.