Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions

Sen-Yung Lee, S. M. Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The dynamic response of a non-uniform beam with time dependent elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained non-uniform beams given by Lee and Kuo. The time dependent elastic boundary conditions for the beam are formulated. A general form of change of dependent variable is introduced and the shifting polynomials of the third order degree, instead of the fifth order degree polynomials taken by Mindlin-Goodman, are selected. The physical meaning of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and several examples are given to illustrate the analysis.

Original languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
EditorsS.C. Sinha, J.P. Cusumano, F. Pfeiffer, A.K. Bajaj, R.A. Ibrahim, al et al
Pages431-436
Number of pages6
Volume84
Edition3 Pt A/1
Publication statusPublished - 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 - Boston, MA, USA
Duration: 1995 Sep 171995 Sep 20

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1
CityBoston, MA, USA
Period95-09-1795-09-20

Fingerprint

Dynamic analysis
Polynomials
Boundary conditions
Dynamic response

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Lee, S-Y., & Lin, S. M. (1995). Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. In S. C. Sinha, J. P. Cusumano, F. Pfeiffer, A. K. Bajaj, R. A. Ibrahim, & A. et al (Eds.), 15th Biennial Conference on Mechanical Vibration and Noise (3 Pt A/1 ed., Vol. 84, pp. 431-436)
Lee, Sen-Yung ; Lin, S. M. / Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. 15th Biennial Conference on Mechanical Vibration and Noise. editor / S.C. Sinha ; J.P. Cusumano ; F. Pfeiffer ; A.K. Bajaj ; R.A. Ibrahim ; al et al. Vol. 84 3 Pt A/1. ed. 1995. pp. 431-436
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Lee, S-Y & Lin, SM 1995, Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. in SC Sinha, JP Cusumano, F Pfeiffer, AK Bajaj, RA Ibrahim & A et al (eds), 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/1 edn, vol. 84, pp. 431-436, Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, 95-09-17.

Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. / Lee, Sen-Yung; Lin, S. M.

15th Biennial Conference on Mechanical Vibration and Noise. ed. / S.C. Sinha; J.P. Cusumano; F. Pfeiffer; A.K. Bajaj; R.A. Ibrahim; al et al. Vol. 84 3 Pt A/1. ed. 1995. p. 431-436.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Lee S-Y, Lin SM. Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. In Sinha SC, Cusumano JP, Pfeiffer F, Bajaj AK, Ibrahim RA, et al A, editors, 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/1 ed. Vol. 84. 1995. p. 431-436