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.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Liu, J L
• Publication Date: 2003-11

Language

• English

Media Info

• Features: Appendices; Figures; References; Tables;
• Pagination: p. 1342-50
• Serial:
  • Journal of Engineering Mechanics
  • Volume: 129
  • Issue Number: 11
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Degrees of freedom; Dynamic loads; Dynamic stability (Ships); Dynamic structural analysis; Hysteresis; Seismicity; Structural mechanics; Structural models
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

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