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

Sen-Yung Lee, S. M. Lin

研究成果: Conference contribution

摘要

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.

原文English
主出版物標題15th Biennial Conference on Mechanical Vibration and Noise
編輯S.C. Sinha, J.P. Cusumano, F. Pfeiffer, A.K. Bajaj, R.A. Ibrahim, al et al
頁面431-436
頁數6
84
版本3 Pt A/1
出版狀態Published - 1995
事件Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 - Boston, MA, USA
持續時間: 1995 九月 171995 九月 20

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1
城市Boston, MA, USA
期間95-09-1795-09-20

指紋

Dynamic analysis
Polynomials
Boundary conditions
Dynamic response

All Science Journal Classification (ASJC) codes

  • Engineering(all)

引用此文

Lee, S-Y., & Lin, S. M. (1995). Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. 於 S. C. Sinha, J. P. Cusumano, F. Pfeiffer, A. K. Bajaj, R. A. Ibrahim, & A. et al (編輯), 15th Biennial Conference on Mechanical Vibration and Noise (3 Pt A/1 編輯, 卷 84, 頁 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. 編輯 / S.C. Sinha ; J.P. Cusumano ; F. Pfeiffer ; A.K. Bajaj ; R.A. Ibrahim ; al et al. 卷 84 3 Pt A/1. 編輯 1995. 頁 431-436
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Lee, S-Y & Lin, SM 1995, Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions. 於 SC Sinha, JP Cusumano, F Pfeiffer, AK Bajaj, RA Ibrahim & A et al (編輯), 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/1 edn, 卷 84, 頁 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. 編輯 / S.C. Sinha; J.P. Cusumano; F. Pfeiffer; A.K. Bajaj; R.A. Ibrahim; al et al. 卷 84 3 Pt A/1. 編輯 1995. p. 431-436.

研究成果: Conference contribution

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