ANALYTICAL SOLUTION FOR TRANSVERSE VIBRATION OF A COMPOSITE EULER- BERNOULLI BEAM INCLUDING SEVERAL CONCENTRATED MASSES

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GHASEMI A.R.; TORABI K.; HEIDARI SHIBANI B.

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Paper Information

Journal: JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL) Year:2014 | Volume:33 | Issue:1 Page(s): 49-64

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Title

ANALYTICAL SOLUTION FOR TRANSVERSE VIBRATION OF A COMPOSITE EULER- BERNOULLI BEAM INCLUDING SEVERAL CONCENTRATED MASSES

Author(s)

GHASEMI A.R. | TORABI K. | HEIDARI SHIBANI B. | Issue Writer Certificate

Keywords

FREE VIBRATIONQ2

COMPOSITE BEAMQ2

CONCENTRATED MASSQ2

EULER-BERNOULLI MODELQ2

EXACT SOLUTIONQ2

DIRAC’S FUNCTIONQ2

Abstract

Transverse vibration of a composite Euler-Bernoulli beam with any arbitrary CONCENTRATED MASSes is developed and analytically solved in this paper. First, dynamic governing equations of a cross-ply beam with taking into account of number, location and amount of CONCENTRATED MASSes as well as the effects of torsional behavior of composite layup (due to bending-twisting coupling) are derived. CONCENTRATED MASSes are modeled by delta Dirac function. Then, the governing equations are solved for two different boundary conditions (simplysupported, clamped-free) to obtain frequency response and mode shapes. The results of the developed model are validated by the available analytical results in the literature. Thus, the effects of number, location and amount of CONCENTRATED MASSes on the torsional-bending vibration of a COMPOSITE BEAM can be investigated.

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APA: Copy

GHASEMI, A.R., TORABI, K., & HEIDARI SHIBANI, B.. (2014). ANALYTICAL SOLUTION FOR TRANSVERSE VIBRATION OF A COMPOSITE EULER- BERNOULLI BEAM INCLUDING SEVERAL CONCENTRATED MASSES. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), 33(1), 49-64. SID. https://sid.ir/paper/173630/en

Vancouver: Copy

GHASEMI A.R., TORABI K., HEIDARI SHIBANI B.. ANALYTICAL SOLUTION FOR TRANSVERSE VIBRATION OF A COMPOSITE EULER- BERNOULLI BEAM INCLUDING SEVERAL CONCENTRATED MASSES. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL)[Internet]. 2014;33(1):49-64. Available from: https://sid.ir/paper/173630/en

IEEE: Copy

A.R. GHASEMI, K. TORABI, and B. HEIDARI SHIBANI, “ANALYTICAL SOLUTION FOR TRANSVERSE VIBRATION OF A COMPOSITE EULER- BERNOULLI BEAM INCLUDING SEVERAL CONCENTRATED MASSES,” JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), vol. 33, no. 1, pp. 49–64, 2014, [Online]. Available: https://sid.ir/paper/173630/en

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