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Title: Free vibration of axially loaded multi-cracked Timoshenko beams // Magazine of Civil Engineering. – 2020. – № 8 (100). — С. 10002
Creators: Al Rjoub Y. S.; Hamad A. G.
Imprint: 2020
Collection: Общая коллекция
Subjects: Строительство; Строительная механика; loaded beams; axial beams; free beam vibrations; Timoshenko beams; beams Timoshenko; cracks; shear strain; нагруженные балки; осевые балки; свободные колебания балок; балки Тимошенко; Тимошенко балки; трещины; деформация сдвига
UDC: 624.04
LBC: 38.112
Document type: Article, report
File type: PDF
Language: English
DOI: 10.18720/MCE.100.2
Rights: Свободный доступ из сети Интернет (чтение, печать, копирование)
Record key: RU\SPSTU\edoc\66141

Allowed Actions: Read Download (1.3 Mb)

Group: Anonymous

Network: Internet

Annotation

In this paper, the free vibration of axially-loaded, multi-cracked Timoshenko beams with differing boundary conditions, namely, hinged-hinged, fixed-fixed, fixed-hinged, and fixed-free is studied. The cracked beam system is represented as several beam segments connected by massless rotational springs with sectional flexibility. Each segment is assumed to obey the Timoshenko beam theory. A simple transfer matrix method is used to derive the characteristic equation of the axially-loaded, multi-cracked beam with differing boundary conditions. The characteristic equation and corresponding mode shapes are a function of natural frequency, crack size and location, and physical parameters of the beam. In this paper, the effects of crack depth, number of cracks, position of cracks, axial load, shear deformation and rotary inertia on the dynamic behavior of multi-cracked beams are studied in detail. It is found that there is good agreement between the results obtained in this study and results available in the literature. Additionally, interesting observations overlooked by other researchers are obtained.

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Table of Contents

  • Free vibration of axially loaded multi-cracked Timoshenko beams
    • 1. Introduction
    • 2. Methods
      • 2.1. Theoretical model
      • 2.2. Local flexibility due to a crack
      • 2.3. Transfer matrix method
      • 2.4. The corresponding mode shapes
    • 3. Results and Discussion
      • 3.1. Validation of results
      • 3.2. Effects of One Crack and Axial Load on Natural Frequencies
      • 3.3. Effects of multiple cracks and axial load on natural frequencies
      • 3.4. Effects of number of cracks on natural frequencies and corresponding mode shapes.
      • 3.5. Effects of shear deformation and rotational inertia on natural frequencies
    • 4. Conclusions

Included in

Magazine of Civil Engineering / Санкт-Петербургский политехнический университет Петра Великого. — Санкт-Петербург: СПбПУ, 2020-. — Периодичность: 8 раз в год. — Выходит с 2020 г. — Загл. с титул. экрана. — Свободный доступ из сети Интернет (чтение, печать, копирование). — Электрон. журнал. — Текст: электронный

Magazine of Civil Engineering / Санкт-Петербургский политехнический университет Петра Великого. — Санкт-Петербург: СПбПУ, 2020-. № 8 (100), 2020. — 1 файл (17,5 Мб). — Свободный доступ из сети Интернет (чтение, печать, копирование). — Электрон. журнал. — <URL:http://elib.spbstu.ru/dl/2/j21-210.pdf>.

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