Dynamic Analysis of Nonuniform Beams With Time-Dependent Elastic Boundary Conditions-Reference-Cited by-同舟云学术

Dynamic Analysis of Nonuniform Beams With Time-Dependent Elastic Boundary Conditions

Published:1996-06-01 Issue:2 Volume:63 Page:474-478
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Lee Sen Yung¹,Lin Shueei Muh²

Affiliation:

1. Mechanical Engineering Department, National Cheng Kung University, Tainan, Taiwan 701, Republic of China

2. Mechanical Engineering Department, Kung Shan Institute of Technology, Tainan, Taiwan 710, Republic of China

Abstract

The dynamic response of a nonuniform 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 nonuniform 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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/63/2/474/5879436/474_1.pdf

Reference13 articles.

1. Berry J. G. , and NagdhiP. M., 1956, “On the vibration of elastic bodies having time-dependent boundary conditions,” Quarterly of Applied Mathematics, Vol. 14, pp. 43–50.

2. Edstrom C. R. , 1981, “The Vibrating Beam with Non-homogeneous Boundary Conditions,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 48, pp. 669–670.

3. Gou, P. F., and Karim-Panahi, K., 1988, “Beam with time dependent boundary conditions, closed form (series) solution versus response spectrum method,” Dynamics and Seismic Issues in Primary and Secondary Systems, Presented at the ASME Pressure Vessels and Piping Conference, PVP V137, pp. 33–44.

4. Grant D. A. , 1983, “Beam vibrations with time-dependent boundary conditions,” Journal of Sound and Vibration, Vol. 89, No. 4, pp. 519–522.

5. Herrmann G. , 1955, “Forced Motions of Timoshenko Beams,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 22, pp. 53–56.

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