Determination of the dynamic stresses at the boundary of a cavity filled with an inviscid compressible fluid during the passage of a plane dilatational wave train. The steady-state response or admittance function is obtained for a circular cavity of infinite extent. It is found that at critical frequencies the intensity of the boundary stresses can be significantly higher than that predicted under static loading. It is shown that the high intensities are due to resonance in the fluid and that the resonance conditions can be predicted once the properties of the medium and the fluid are known. Computations are presented for a case representing a water-filled, 20-ft-diameter cavity in rock. It is indicated that the transient response to an aperiodic disturbance could be obtained through the use of a Fourier convolution.
This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.
Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit www.rand.org/about/research-integrity.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.