On The Response Of A Non-Uniform Beam Transvered By Mobile Distributed Loads

α
Dr. OGUNYEBI S.
Dr. OGUNYEBI S.
σ
N SUNDAY J
N SUNDAY J
α Ekiti State University Ekiti State University

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On The Response Of A Non-Uniform Beam Transvered By Mobile Distributed Loads

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Abstract

The problem being investigated in this paper is that of the response of non-uniform beam under tensile stress and resting on an elastic foundation. The fourth order partial differential equation governing the problem is solved when the beam is transverse by mobile distributed loads. The elastic properties of the beam, the flexible rigidity, and the mass per unit length are expressed as functions of the spatial variable using Struble’s method. It is observed that the deflection of non-uniform beam under the action of moving masses is higher than the deflection of moving force when only the force effects of the moving load are considered. From the analysis, the response amplitudes of both moving force and moving mass problems decrease with increasing foundation constant.

References

7 Cites in Article
  1. M Sanistic (1974). On a theory concerning the dynamic behavior of structures carrying moving masses.
  2. Z Ding (1993). A general solution to vibrations of beams of variables.
  3. V Kolousek (1967). Civil engineering Structures Subjected to Dynamic Loads (in slovak) SVTL.
  4. E Esmailzadeh,M Ghorashi (1995). Vibration analysis of beams traversed by uniform partially distributed moving masses.
  5. Y-H Lin (1996). COMMENTS ON “VIBRATION ANALYSIS OF BEAMS TRAVERSED BY UNIFORM PARTIALLY DISTRIBUTED MOVING MASSES”.
  6. S Sadiku,H Leiophtz (1987). On the dynamics of elastic systems with moving concentrated masses.
  7. J Wh (1987). The Dynamic analysis of a flat plate under a moving load by a definite element method.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. OGUNYEBI S.. 2012. \u201cOn The Response Of A Non-Uniform Beam Transvered By Mobile Distributed Loads\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F3): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

April 10, 2012

Language
en
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The problem being investigated in this paper is that of the response of non-uniform beam under tensile stress and resting on an elastic foundation. The fourth order partial differential equation governing the problem is solved when the beam is transverse by mobile distributed loads. The elastic properties of the beam, the flexible rigidity, and the mass per unit length are expressed as functions of the spatial variable using Struble’s method. It is observed that the deflection of non-uniform beam under the action of moving masses is higher than the deflection of moving force when only the force effects of the moving load are considered. From the analysis, the response amplitudes of both moving force and moving mass problems decrease with increasing foundation constant.

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On The Response Of A Non-Uniform Beam Transvered By Mobile Distributed Loads

Dr. OGUNYEBI S.
Dr. OGUNYEBI S. Ekiti State University
N SUNDAY J
N SUNDAY J

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