A SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD FOR FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAMS

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ANSARI R.; GHOLAMI R.; HOSSEINI K.

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Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:4 Page(s): 307-320

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Title

A SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD FOR FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAMS

Author(s)

ANSARI R. | GHOLAMI R. | HOSSEINI K. | Issue Writer Certificate

Keywords

EULER-BERNOULLI BEAM

FREE VIBRATION

SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD

NATURAL FREQUENCIES

Abstract

This paper presents an efficient method for solving FREE VIBRATION problems for an EULER-BERNOULLI BEAM under various supporting conditions. The method is based on the implementation of the SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD (CFDM) for discretizing the governing differential equation to obtain the NATURAL FREQUENCIES of beam corresponding to two commonly used boundary conditions namely simply supported-simply supported and clamped-free. A very good agreement is found between the NATURAL FREQUENCIES obtained using the sixth-order compact finite difference scheme and exact NATURAL FREQUENCIES, which confirms the validity of the present sixth-order discretization.

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APA: Copy

ANSARI, R., GHOLAMI, R., & HOSSEINI, K.. (2011). A SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD FOR FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAMS. MATHEMATICAL SCIENCES, 5(4), 307-320. SID. https://sid.ir/paper/322562/en

Vancouver: Copy

ANSARI R., GHOLAMI R., HOSSEINI K.. A SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD FOR FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAMS. MATHEMATICAL SCIENCES[Internet]. 2011;5(4):307-320. Available from: https://sid.ir/paper/322562/en

IEEE: Copy

R. ANSARI, R. GHOLAMI, and K. HOSSEINI, “A SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD FOR FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAMS,” MATHEMATICAL SCIENCES, vol. 5, no. 4, pp. 307–320, 2011, [Online]. Available: https://sid.ir/paper/322562/en

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