Department of Biomedical Engineering and Mechanics

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https://hdl.handle.net/10919/24216
A collaboration between School of Biomedical Engineering and Sciences and the Department of Engineering Science and Mechanics to form the Department of Biomedical Engineering and Mechanics.

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Browsing Department of Biomedical Engineering and Mechanics by Content Type "Abstract"

Now showing 1 - 3 of 3
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    Dissipative structure of shock waves in fluids having large specific heat
    Cramer, Mark S. (Acoustical Society of America, 1987)
    Recent studies indicate that the nonlinearity parameter 1 + B/2A may become negative in fluids whose specific heats are sufficiently large. The present study examines the dissipative structure of weak shocks in such fluids and contrasts the results obtained with those of the classical Taylor structure. Estimates for the thickness will also be presented. Conditions under which the thickness increases, rather than decreases, with increasing shock strength will be given.
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    Numerical-perturbation technique for the transverse vibrations of highly prestressed plates
    Nayfeh, Ali H.; Kamat, Manohar P. (Acoustical Society of America, 1975)
    Under the usual assumptions of small strains with moderately large rotations, the problem of the transverse vibrations of highly prestressed nonuniform annular plates is reduced to the solution of the differential equation governing the transverse vibration of the corresponding prestressed membrane subject to modified boundary conditions that account for the effects of bending. The method of composite expansions is used to determine these modified boundary conditions. The agreement of the present solution or results with known exact solutions for simple geometries demonstrates the efficiency of this method when compared with other well-known numerical techniques.
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    Scattering of acoustic waves in a waveguide
    Sen, Rahul; Thompson, Charles (Acoustical Society of America, 1987)
    The problem of scattering from boundary discontinuity in a waveguide is discussed. The relationship between the static and dynamic representations of the scattered pressure field will be investigated for those frequencies falling below the first cross mode of the duct. Special attention is paid to the influence of cutoff cross modes to the solution of the pressure field. It is shown that the method of matched asymptotic expansions can be successfully used to determine globally valid pressure field junction conditions near a boundary discontinuity. The matching of exponentially decaying terms of the inner solution is shown to, in turn, contribute to the junction impedance and extend the frequency range of the solution's validity.