AN ANALYTICAL SOLUTION FOR FREE VIBRATION OF ELASTICALLY RESTRAINED TIMOSHENKO BEAM ON AN ARBITRARY VARIABLE WINKLER FOUNDATION AND UNDER AXIAL LOAD

Authors

  • AMIN GHANNADIASL DEPARTMENT OF CIVIL ENGINEERING, SHARIF UNIVERSITY OF TECHNOLOGY
  • MASSOOD MOFID DEPARTMENT OF CIVIL ENGINEERING, SHARIF UNIVERSITY OF TECHNOLOGY

Keywords:

TIMOSHENKO BEAM, FREE VIBRATION, GENERAL BOUNDARY CONDITIONS, WINKLER FOUNDATION, GREEN FUNCTION

Abstract

NATURAL FREQUENCIES ARE IMPORTANT DYNAMIC CHARACTERISTICS OF A STRUCTURE THAT THESE ARE REQUIRED FOR THE FORCED VIBRATION ANALYSIS AND SOLUTION OF RESONANT RESPONSE. THEREFORE, THE EXACT SOLUTION TO FREE VIBRATION OF ELASTICALLY RESTRAINED TIMOSHENKO BEAM ON AN ARBITRARY VARIABLE ELASTIC FOUNDATION USING GREEN FUNCTION PRESENTS IN THIS PAPER. AN EXACT AND DIRECT MODELING TECHNIQUE IS INTRODUCED FOR MODELING UNIFORM TIMOSHENKO BEAM WITH ARBITRARY BOUNDARY CONDITIONS. THE APPLIED METHOD IS BASED ON THE GREEN FUNCTION. THE EFFECT OF THE TRANSLATIONAL AND ROTATIONAL SUPPORT FLEXIBILITIES, THE ELASTIC COEFFICIENT OF WINKLER FOUNDATION AND OTHER PARAMETERS IS ASSESSED. FINALLY, SOME NUMERICAL EXAMPLES ARE SHOWN TO PRESENT THE EFFICIENCY AND SIMPLICITY OF THE GREEN FUNCTION IN THE NEW FORMULATION.

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Published

2015-08-25

Issue

Vol. 12 No. 13 (2015)

Section

Articles

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