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THE CONVEX RESPONSE SET OF A CLASS OF MDOF VIBRATION SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(5): 530-539. DOI: 10.6052/0459-1879-1997-5-1995-263
Citation: THE CONVEX RESPONSE SET OF A CLASS OF MDOF VIBRATION SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(5): 530-539. DOI: 10.6052/0459-1879-1997-5-1995-263
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THE CONVEX RESPONSE SET OF A CLASS OF MDOF VIBRATION SYSTEM

  • 西安交通大学工程力学系

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    • Abstract
  • The response reachable set is defined for a linear time invariant vibration system excitation of which is modeled by a convex set. The problem of resolving the convex responses of MDOF vibration system is transformed into that of finding the response reachable set. A support hyperplane method of finding the response reachable set to the excitation modeled by aspecial convex set is presented. An analytical expression is obtained for the boundary point of the finite time response reachable set at a directio...
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