AN ANALYTICAL TIME DOMAIN SOLUTION FOR THE FORCED VIBRATION ANALYSIS OF THICK-WALLED CYLINDERS

Authors

  • BASHIR MOVAHEDIAN ATTAR DEPARTMENT OF CIVIL ENGINEERING, ISFAHAN UNIVERSITY OF TECHNOLOGY,
  • MESHKAT BOTSHEKAN DEPARTMENT OF CIVIL ENGINEERING, ISFAHAN UNIVERSITY OF TECHNOLOGY,

Keywords:

FORCED VIBRATION, THICK-WALLED CYLINDERS, ANALYTICAL TIME DOMAIN SOLUTION, POLAR ORTHOTROPY.

Abstract

IN THIS PAPER, WE PROPOSE A TIME DOMAIN ANALYTICAL SOLUTION FOR THE
FORCED VIBRATION ANALYSIS OF THICK-WALLED HOLLOW CYLINDERS IN PRESENCE
OF POLAR ORTHOTROPY. IN THIS REGARD, SOLUTION OF THE GOVERNING
EQUATION IS DECOMPOSED INTO TWO PARTS. THE ROLE OF THE FIRST ONE IS
TO SATISFY BOUNDARY CONDITIONS UTILIZING THE METHOD OF SEPARATION
OF VARIABLES BESIDES OF FOURIER SERIES EXPANSION OF THE NONHOMOGENOUS
BOUNDARY CONDITIONS. THE SECOND PART HAS BEEN ALSO
EXPRESSED AS THE SERIES OF ORTHOGONAL CHARACTERISTIC FUNCTIONS WITH
THE AIM OF SATISFACTION OF INITIAL CONDITIONS. THE PROPOSED ANALYTICAL
SOLUTION HAS BEEN IMPLEMENTED TO EVALUATE THE DYNAMIC RESPONSE
OF THE CYLINDER IN SOLUTION OF SOME SAMPLE PROBLEMS WHICH
ARE CHOSEN FROM PREVIOUS STUDIES.

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Published

2017-07-10

Issue

Vol. 14 No. 09 (2017)

Section

Articles

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