BEHAVIORAL STUDY OF FINITE BEAM RESTING ON ELASTIC FOUNDATION AND SUBJECTED TO TRA-VELLING DISTRIBUTED MASSES.

Authors

  • BABATOPE OMOLOFE DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, THE FEDERAL UNIVERSITY OF TECHNOLOGY, PMB 704, AKURE, ONDO STATE, NIGERIA
  • TOLULOPE OLAMIDE ADELOYE DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, THE FEDERAL UNIVERSITY OF TECHNOLOGY, PMB 704, AKURE, ONDO STATE, NIGERIA.

Keywords:

DYNAMIC CHARACTERISTICS, RESONANCE, SUBGRADE, DISTRIBUTED LOADS, DYNAMICAL SYSTEM.

Abstract

THE CLASSICAL PROBLEM OF THE RESPONSE CHARACTERISTICS OF UNIFORM STRUCTURAL MEMBER RESTING ON ELASTIC SUBGRADE AND SUBJECT TO UNIFORM PARTIALLY DISTRIBUTED LOAD IS STUDIED IN THIS WORK. THE CLOSED FORM SOLUTIONS OF THE GOVERNING FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS ARE PRESENTED USING AN ELEGANT ANALYTICAL TECHNIQUE FOR THE MOVING FORCE AND MASS MODELS. VARIOUS RESULTS AND ANALYSES ARE CARRIED OUT ON EACH OF THE PERTINENT BOUNDARY CONDITIONS AND PHENOMENON OF RESONANCE IS STUDIED FOR THE DYNAMICAL SYSTEM. IT WAS FOUND THAT IN ALL ILLUSTRATIVE EXAMPLES CONSIDERED, FOR THE SAME NATURAL FREQUENCY, THE CRITICAL SPEED FOR MOVING DISTRIBUTED MASS PROBLEM IS SMALLER THAN THAT OF THE MOVING DISTRIBUTED FORCE PROBLEM. HENCE, RESONANCE IS REACHED EARLIER IN MOVING MASS BEAM-LOAD INTERACTION PROBLEM. FINALLY, THIS WORK HAS SUGGESTED VALUABLE METHODS OF ANALYTICAL SOLUTION FOR THIS CATEGORY OF PROBLEMS FOR ALL BOUNDARY CONDITIONS OF PRACTICAL INTEREST.

Author Biographies

BABATOPE OMOLOFE, DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, THE FEDERAL UNIVERSITY OF TECHNOLOGY, PMB 704, AKURE, ONDO STATE, NIGERIA

FACULTY MEMBER, DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, THE FEDERAL UNIVERSITY OF TECHNOLOGY, PMB 704, AKURE, ONDO STATE, NIGERIA

 

TOLULOPE OLAMIDE ADELOYE, DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, THE FEDERAL UNIVERSITY OF TECHNOLOGY, PMB 704, AKURE, ONDO STATE, NIGERIA.

MR. TOLULOPE OLAMIDE ADELOYE IS A POSTGRADUATE RESEARCH STUDENT AT THE DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE, ONDO STATE, NIGERIA

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Published

2016-12-13

Issue

Vol. 14 No. 02 (2017)

Section

Articles

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