State Space Representation of the Nonself-Adjoint Acoustic Duct System

A.J. Hull and C.J. Radcliffe
Department of Mechanical Engineering

M. Miklavcic and C.R. MacCluer
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027

Published in Journal of Vibration and Acoustic, 112 (1990), 483-488.

Abstract:

The acoustic response in a hard walled duct with a dissipative end condition is a combination of standing and propagating waves. A state representation incorporating this behaviour is developed. Comparisons between the state space model and a previous model are included. High frequency behaviour of the state space model is discussed.

My other publications on physics and engineering applications:
  1. A natural modal expansion for the flexible robot arm problem via a self-adjoint formulation
    IEEE Transactions of Robotics and Automation, 6(1990), 601-603.
    This is a joint work with Y. Chait, C.J. Radcliffe, C.R. MacCluer.

  2. The temperature stability of a radiant slab-on-grade
    ASHRAE Transaction, 95(1989), Pt.1.
    This is a joint work with C.R. MacCluer, Y. Chait.

  3. A truncated model for control of a flexible robot arm
    Proceedings of the 19th annual Pittsburg conference on modeling and simulation, May 1988, 2051-2055.
    This is a joint work with Y. Chait, C.J. Radcliffe, C.R. MacCluer.

  4. Non-linear plasma oscillations
    Proceedings of Mathematical Aspects of Fluid and Plasma Dynamics,
    edited by C. Cercignani, S. Rionero, M. Tessarotto, Trieste (1985).
    This is a joint work with P.F. Zweifel, C. Burnap, B.L. Willis.

  5. Linear and nonlinear plasma oscillations
    Il Nuovo Cimento, 87A, N. 2, (1985), 162-173.
    This is a joint work with P.F. Zweifel, C. Burnap, B.L. Willis.

  6. Single-mode saturation of a linearly unstable plasma
    Phys. Fluids, 28(1)(1985), 110-115.
    This is a joint work with P.F. Zweifel, C. Burnap, B.L. Willis.

  7. Pressure corrections in measurements of energy accommodation coefficients
    Int. J. Heat Mass Transfer, 23(1980), 1279-1302.
    This is a joint work with I. Kuscer.

  8. Generalized Maxwell method for solving kinetic boundary-value problems
    Proc. Conf. Oberwolfach 1979, edited by D.C. Pack and H. Neunzert
    Mathematical Problems in the Kinetic Theory of Gases, pp. 113-128.
    This is a joint work with I. Kuscer.

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