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Reduction of deformation in a spring-mass realisation of human chest occurred after action of impact

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This paper takes into consideration active control of a mechanical construction modelling a human chest subject to impulsive elastic loading coming from a fast moving light mass. The effect of impact causes some essential deformation in the form of distance decreasing between the front and back side of the chest resulting from compression of internal organs. One can attenuate such a destructive proces s by introduction of fast-response active control elements attached to the front or back side of the chest i.e., from the direction of impacting mass or between back and support of the body. The problem of one- or two-dimensional control is not easy to perform because of the consideration of the very short time of system's reaction. At this stage there has been used an effective numerical procedure for both solution and LQR control method application in a dynamical system of three separated elastically (rheologically as well) linked masses. Direction-dependent coefficients of the rheological link (extending our system to the seventh state-space dimension) govern different properties of internal organs during their stretching and compression. It puts into the control scheme's matrices time-dependent coefficients of damping influencing the optimal linear quadratic regulator used in control.
  • Lodz Technical University, Department of Automatics and Biomechanics Stefanowski 1/15 Street, 90-924 Łódź tel: +48 42 6312339, fax.: +48 42 6312489,
  • [1] Åström, K.J., Wittenmark, B., Computer Controlled Systems. Englewood Cliffs, N.J. Prentice Hall, 1990.
  • [2] Awrejcewicz, J., Olejnik, P., Active control of two degrees-of-freedom building-ground system, Archives of Control Sciences, Vol. 17, No 4, pp. 393-408, 2007.
  • [3] Ioannou P.A., Sun J., Robust Adaptive Control. Prentice-Hall, Englewood Cliffs, N.J., 1996.
  • [4] Kirk, D.E., Optimal Control Theory. An Introduction. Dover Publications, Inc., Mineola, N.J. 1998.
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