Some Qualitative Properties of Modes of Continuous System of Two-Spans Beam with Two Free-Ends-Reference-Cited by-同舟云学术

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Some Qualitative Properties of Modes of Continuous System of Two-Spans Beam with Two Free-Ends

Published:2012-02 Issue: Volume:157-158 Page:1121-1129
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

He Min¹,Zhang Li Hua¹,Wang Qi Shen¹

Affiliation:

1. Anqing Teachers College

Abstract

In this paper we gave the conjugated system of the two-span beam with two free-ends, which is a continuous system of two-spans continuous beam with two clamped-ends. The oscillating property of the conjugated system is proved. And the sign interchanges number of the flexural moment modes are determined. Furthermore, some qualitative properties owned by its displacement modes, rotation modes, moment modes and shearing force modes are given.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.157-158.1121.pdf

Reference7 articles.

1. Gantmakher F. P., Krein M. G., Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems (Trans Atomic Energy Commission Washington D. C, U. S. 1961).

2. Qishen Wang, Lei Wu, Dajun Wang, Acta Mechanica Sinica (in Chinese), Vol 41(6)(2009), pp.947-952.

3. Qishen Wang, Dajun Wang, Lei Wu, et al, QJMAM, Vol 64(1)(2011), pp.75-86.

4. Qishen Wang, Journal of Anqing Teachers College (Natural Science) (in Chinese), Vol 2(4) (1995), pp.32-39.

5. Norrris, C. H., Wilbur, J. B., Utku, S., Elementary Structural Analysis (MeGraw-Hill Book Co., Inc., New York, 1976).

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