FREQUENCY AANALYSIS OF ANNULAR PLATES HAVING A SMALL CORE AND GUIDED EDGES AT BOTH INNER AND OUTER BOUNDARIES

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RAO L.B.; RAO C.K.

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2016 | Volume:8 | Issue:1 Page(s): 168-174

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Information Journal Paper

Title

FREQUENCY AANALYSIS OF ANNULAR PLATES HAVING A SMALL CORE AND GUIDED EDGES AT BOTH INNER AND OUTER BOUNDARIES

Author(s)

RAO L.B. | RAO C.K. | Issue Writer Certificate

Keywords

ANNULAR PLATE

VIBRATIONS

GUIDED EDGE

MODE SWITCHING

Abstract

This paper deals with frequency analysis of ANNULAR PLATEs having a small core and GUIDED EDGEs at both inner and outer boundaries. Using classical plate theory the governing differential equation of motion for the ANNULAR PLATE having a small core is derived and solved for the case of plate being guided at inner and outer edge boundaries. The fundamental frequencies for the first six modes of ANNULAR PLATE VIBRATIONS are computed for different materials and varying values of the radius parameter. The fundamental frequencies thus obtained may be classified into to axisymmetric and/or non-axisymmetric modes of vibration. The exact values of fundamental frequencies presented in this paper clearly show that no MODE SWITCHING takes place for the case of ANNULAR PLATEs with GUIDED EDGEs. The results presented in this paper will be of use in design and also serve as benchmark values to enable the researchers to validate their results obtained using numerical methods such as differential quadrature or finite element methods.

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References

VIBRATIONS OF CIRCULAR PLATES WITH GUIDED EDGE AND RESTING ON ELASTIC FOUNDATION

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APA: Copy

RAO, L.B., & RAO, C.K.. (2016). FREQUENCY AANALYSIS OF ANNULAR PLATES HAVING A SMALL CORE AND GUIDED EDGES AT BOTH INNER AND OUTER BOUNDARIES. JOURNAL OF SOLID MECHANICS, 8(1), 168-174. SID. https://sid.ir/paper/319405/en

Vancouver: Copy

RAO L.B., RAO C.K.. FREQUENCY AANALYSIS OF ANNULAR PLATES HAVING A SMALL CORE AND GUIDED EDGES AT BOTH INNER AND OUTER BOUNDARIES. JOURNAL OF SOLID MECHANICS[Internet]. 2016;8(1):168-174. Available from: https://sid.ir/paper/319405/en

IEEE: Copy

L.B. RAO, and C.K. RAO, “FREQUENCY AANALYSIS OF ANNULAR PLATES HAVING A SMALL CORE AND GUIDED EDGES AT BOTH INNER AND OUTER BOUNDARIES,” JOURNAL OF SOLID MECHANICS, vol. 8, no. 1, pp. 168–174, 2016, [Online]. Available: https://sid.ir/paper/319405/en

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