A GENERAL SYMPLECTIC METHOD FOR THE RESPONSE ANALYSIS OF INFINITELY PERIODIC STRUCTURES SUBJECTED TO RANDOM EXCITATIONS

Authors

  • YOUWEI ZHANG STATE KEY LABORATORY OF STRUCTURAL ANALYSIS FOR INDUSTRIAL EQUIPMENT, FACULTY OF VEHICLE ENGINEERING AND MECHANICS, DALIAN UNIVERSITY OF TECHNOLOGY, DALIAN, P. R. CHINA
  • YAN ZHAO STATE KEY LABORATORY OF STRUCTURAL ANALYSIS FOR INDUSTRIAL EQUIPMENT, FACULTY OF VEHICLE ENGINEERING AND MECHANICS, DALIAN UNIVERSITY OF TECHNOLOGY, DALIAN, P. R. CHINA
  • JIAHAO LIN STATE KEY LABORATORY OF STRUCTURAL ANALYSIS FOR INDUSTRIAL EQUIPMENT, FACULTY OF VEHICLE ENGINEERING AND MECHANICS, DALIAN UNIVERSITY OF TECHNOLOGY, DALIAN, P. R. CHINA
  • W. PAUL HOWSON CARDIFF SCHOOL OF ENGINEERING, CARDIFF UNIVERSITY, CARDIFF CF24 3AA, WALES, UK
  • FRED WILLIAMS CARDIFF SCHOOL OF ENGINEERING, CARDIFF UNIVERSITY, CARDIFF CF24 3AA, WALES, UK

Keywords:

INFINITELY PERIODIC STRUCTURE, SYMPLECTIC MATHEMATICS, VARIABLE SEPARATION, PSEUDO-EXCITATION METHOD, RANDOM VIBRATION

Abstract

A GENERAL SYMPLECTIC METHOD FOR THE RANDOM RESPONSE ANALYSIS OF INFINITELY PERIODIC STRUCTURES SUBJECTED TO STATIONARY/NON-STATIONARY RANDOM EXCITATIONS IS DEVELOPED USING SYMPLECTIC MATHEMATICS IN CONJUNCTION WITH VARIABLE SEPARATION AND THE PSEUDO-EXCITATION METHOD (PEM). STARTING FROM THE EQUATION OF MOTION FOR A SINGLE LOADED SUBSTRUCTURE, SYMPLECTIC ANALYSIS IS FIRSTLY USED TO ELIMINATE THE DEPENDENT DEGREES OF THE FREEDOM THROUGH CONDENSATION. A FOURIER EXPANSION OF THE CONDENSED EQUATION OF MOTION IS THEN APPLIED TO SEPARATE THE VARIABLES OF TIME AND WAVE NUMBER, THUS ENABLING THE NECESSARY RECURRENCE SCHEME TO BE DEVELOPED. THE RANDOM RESPONSE IS FINALLY DETERMINED BY IMPLEMENTING PEM. THE PROPOSED METHOD IS JUSTIFIED BY COMPARISON WITH RESULTS AVAILABLE IN THE LITERATURE AND IS THEN APPLIED TO A MORE COMPLICATED TIME-DEPENDENT COUPLED SYSTEM.

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Published

2012-07-10

Issue

Vol. 9 No. 5 (2012)

Section

Articles

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