Effect of Slenderness Ratio on the Natural Frequencies of Pre-Twisted Cantilever Beams of Uniform Rectangular Cross-Section-Reference-Cited by-同舟云学术

Effect of Slenderness Ratio on the Natural Frequencies of Pre-Twisted Cantilever Beams of Uniform Rectangular Cross-Section

Published:1971-02 Issue:1 Volume:13 Page:51-59
ISSN:0022-2542
Container-title:Journal of Mechanical Engineering Science
language:en
Short-container-title:Journal of Mechanical Engineering Science

Author:

Dawson B.¹,Ghosh N. G.²,Carnegie W.³

Affiliation:

1. Reader in Mechanical Engineering, Central London Polytechnic. Member of the Institution

2. Formerly research student, University of Surrey, Guildford, Surrey. Member of the Institution

3. Professor of Mechanical Engineering, University of Surrey, Guildford, Surrey. Fellow of the Institution

Abstract

This paper is concerned with the vibrational characteristics of pre-twisted cantilever beams of uniform rectangular cross-section allowing for shear deformation and rotary inertia. A method of solution of the differential equations of motion allowing for shear deformation and rotary inertia is presented which is an extension of the method introduced by Dawson (1)§ for the solution of the differential equations of motion of pre-twisted beams neglecting shear and rotary inertia effects. The natural frequencies for the first five modes of vibration are obtained for beams of various breadth to depth ratios and lengths ranging from 3 to 20 in and pre-twist angle in the range 0–90°. The results are compared with those obtained by an alternative method (2), where available, and also to experimental results.

Publisher

SAGE Publications

Subject

General Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1243/JMES_JOUR_1971_013_008_02

Reference5 articles.

1. Vibrations of Pre-Twisted Cantilever Blading Allowing for Rotary Inertia and Shear Deflection

2. Matrix Displacement Analysis of Coupled Bending-Bending Vibrations of Pretwisted Blading

3. Modal Curves of Pre-Twisted Beams of Rectangular Cross-Section

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamic behaviour of pretwisted metal matrix composite blades;Composite Structures;2021-07

2. Analytical Modeling and Vibration Analysis of the Last-Stage LP Steam Turbine Blade Made of Functionally Graded Material;Arabian Journal for Science and Engineering;2021-02-15

3. Natural frequencies of rotating twisted beams: a perturbation method based approach;Meccanica;2020-09-17

4. Modal analysis of rotating pre-twisted viscoelastic sandwich beams;Computational Mechanics;2019-12-18

5. Vibration analysis of a uniform pre-twisted rotating Euler–Bernoulli beam using the modified Adomian decomposition method;Mathematics and Mechanics of Solids;2017-07-24