EXACT SOLUTION FOR DYNAMIC RESPONSE OF MULTI-DEGREE-OF-FREEDOM BILINEAR HYSTERETIC SYSTEMS

An exact solution technique for the response of a bilinear hysteretic multi-degree-of-freedom system subjected to arbitrary dynamic loadings is proposed. Each function in the loading vector is represented by a piecewise interpolation polynomial. By using the modal superposition method and the Duhamel integral procedure on each branch of the force-displacement relationship and matching transitional conditions, one can obtain a closed-form solution. When the system is subjected to such piecewise polynomial loadings as an earthquake acceleration, which usually can be represented by a series of straight line segments, an exact result can be obtained. Thus the proposed method can provide much higher accuracy, and requires less computational effort than the traditional step-by-step integration solution technique. The reason for these advantages is discussed and the related formulas are provided.

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  • English

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  • Accession Number: 00964631
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Oct 29 2003 12:00AM