SIMPLIFIED MODELLING OF HIGH ORDER LINEAR SYSTEMS

Investigations of the response of railway vehicles frequently lead to high order linear systems. Such systems can be solved digitally to any required accuracy but this approach is often time-consuming and does not yield much information on how the response depends on vehicle parameters. In many cases the system can be adequately represented by a low order model. A very simple method of producing such models has been developed by London Transport and forms the basis of this paper. The method, based on the Schwarz inequality, is relatively easy to apply and ideally suited to systems with an associated quadratic cost function. As well as the theory the paper also presents a practical application to the response of a railway vehicle to random vertical track irregularities.

• Supplemental Notes:
  • Presented at the Institute of Physics, Stress Analysis Group, Annual Conference: Stress, Vibration and Noise Analysis in Vehicles, University of Aston, Birmingham, England.
• Corporate Authors:

  John Wiley & Sons, Incorporated

  111 River Street
  Hoboken, NJ  United States  07030-6000
• Authors:
  • Cotterell, M
• Conference:
  • Presented at the Institute of Physics, Stress Analysis Group, Annual Conference: Stress, Vibration and Noise Analysis in Vehicles, University of Aston, Birmingham, England.
• Publication Date: 1975

Media Info

• Features: References;
• Pagination: p. 451-460

Subject/Index Terms

• TRT Terms: Defects; Dynamic tests; Dynamics; Mathematical models; Railroad tracks; Train track dynamics
• Uncontrolled Terms: Dynamic analysis; Vertical dynamics
• Old TRIS Terms: Track irregularities
• Subject Areas: Railroads;

Filing Info

• Accession Number: 00141098
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Oct 26 1976 12:00AM