On the Dynamic Model of a Functionally Graded Spinning Structural Element of an Aircraft Appendage

Abstract:

Article Preview

The use of advanced materials in automotive, aerospace and communication technologies has called for re-assessment of classical models of many structural elements. The primary objective of this study relates to the use of a higher-order continuum model for discerning the contribution of certain geometric and material properties on wave propagation behavior of a spinning appendage of an aircraft appendage. The spinning appendage is characterized by a through-thickness functional material gradation and subjected to an axial dead load. The foundation of the present model rests on the trio of the mechanics of functionally graded solid structures, the extended Hamilton’s principle and the thin beam theory. Numerical results from the wave mechanics analyses reveal the noticeable influence of axial dead load and attendant wave splitting effect caused by the gyroscopic moment of the system. The wave mechanics result paves the way for the non-destructive damage testing of the element.

Info:

Periodical:

Edited by:

R. Varatharajoo, F.I. Romli, K.A. Ahmad, D.L. Majid and F. Mustapha

Pages:

89-94

Citation:

K. B. Mustapha, "On the Dynamic Model of a Functionally Graded Spinning Structural Element of an Aircraft Appendage", Applied Mechanics and Materials, Vol. 629, pp. 89-94, 2014

Online since:

October 2014

Export:

Price:

$38.00

* - Corresponding Author

[1] S. Gopalakrishnan, A. Chakraborty, D. R. Mahapatra, SpringerLink (Online service). (2008).

[2] I. Elishakoff, Eigenvalues of inhomogeneous structures : unusual closed-form solutions. Boca Raton, Fla.: CRC Press, (2005).

[3] C. W. Bert, The effect of bending–twisting coupling on the critical speed of a driveshafts, in US Conf on Compos Materials, Orlando, FL. Lancaster, PA:, 1992, pp.29-36.

[4] K. B. Mustapha, Z. W. Zhong. Spectral element analysis of a non-classical model of a spinning micro beam embedded in an elastic medium, Mechanism and Machine Theory, vol. 53, pp.66-85, (2012).

DOI: https://doi.org/10.1016/j.mechmachtheory.2012.02.008

[5] K. B. Mustapha, Z. W. Zhong. A new modeling approach for the dynamics of a micro end mill in high-speed micro-cutting, Journal of Vibration and Control, March 5, 2012 (2012).

[6] K. Mustapha, Z. Zhong. A hybrid analytical model for the transverse vibration response of a micro-end mill, Mechanical Systems and Signal Processing, vol. 34, pp.321-339, (2013).

[7] A. D. Dimarogonas. A general method for stability analysis of rotating shafts, Archive of Applied Mechanics (Ingenieur Archiv), vol. 44, pp.9-20, (1975).

DOI: https://doi.org/10.1007/bf00534792

[8] P. Kulla. Dynamics of spinning bodies containing elastic rods, Journal of Spacecraft and Rockets, vol. 9, pp.246-53, (1972).

DOI: https://doi.org/10.2514/3.61662

[9] J. R. Banerjee, H. Su. Development of a dynamic stiffness matrix for free vibration analysis of spinning beams, Computers and Structures, vol. 82, pp.2189-2197, (2004).

DOI: https://doi.org/10.1016/j.compstruc.2004.03.058

[10] O. Song, N. H. Jeong, L. Librescu. Implication of conservative and gyroscopic forces on vibration and stability of an elastically tailored rotating shaft modeled as a composite thin-walled beam, Journal of the Acoustical Society of America, vol. 109, pp.972-981, / (2001).

DOI: https://doi.org/10.1121/1.1348301

[11] J. J. Sobczak, L. Drenchev. Metallic Functionally Graded Materials: A Specific Class of Advanced Composites, Journal of Materials Science & Technology, vol. 29, pp.297-316, 4/ (2013).

DOI: https://doi.org/10.1016/j.jmst.2013.02.006

[12] L. L. Shaw. Thermal residual stresses in plates and coatings composed of multi-layered and functionally graded materials, Composites Part B: Engineering, vol. 29, pp.199-210, / (1998).

DOI: https://doi.org/10.1016/s1359-8368(97)00029-2

[13] J. N. Boss, V. K. Ganesh. Fabrication and properties of graded composite rods for biomedical applications, Composite Structures, vol. 74, pp.289-293, / (2006).

[14] K. B. Mustapha, Z. W. Zhong. Wave propagation characteristics of a twisted micro scale beam, International Journal of Engineering Science, vol. 53, pp.46-57, (2012).

DOI: https://doi.org/10.1016/j.ijengsci.2011.12.006

[15] F. Yang, A. C. M. Chong, D. C. C. Lam, P. Tong. Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures, vol. 39, pp.2731-2743, 5/ (2002).

[16] S. K. Park, X. L. Gao, A new bernoulli-euler beam model based on a modified couple stress theory, Earth and Space 2006 - Proceedings of the 10th Biennial International Conference on Engineering, Construction, and Operations in Challenging Environments 2006, p.166.