Free vibration of Timoshenko beam with finite mass rigid tip load and flexural–torsional coupling

Salarieh, Hassan; Ghorashi, Mehrdaad

doi:10.1016/j.ijmecsci.2006.01.008

Cited by 67 publications

(38 citation statements)

References 14 publications

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“…The exact form of the frequency equation is derived, the mode shapes and the orthogonality condition are developed and a numerical example is presented which illustrates the effect of the first moment on the natural frequencies. More recently Salarieh and Ghorashi [24] considered a more general model which includes torsional deformation of the beam.…”

Section: Remark 33mentioning

confidence: 99%

Uniform stability for the Timoshenko beam with tip load

Dalsen¹

2010

Journal of Mathematical Analysis and Applications

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In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. We show that uniform stabilization of the model which includes the rotary inertia of the tip load can be obtained when feedback boundary moment and force controls are applied at the point of contact between the beam and the tip load. However, in the presence of the load stabilization is "slower" and subject to a restriction on the boundary data at the free end of the beam.

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Section: Remark 33mentioning

confidence: 99%

Uniform stability for the Timoshenko beam with tip load

Dalsen¹

2010

Journal of Mathematical Analysis and Applications

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“…Low (1999Low ( , 2000 focused on the frequency analysis of an Euler-Bernoulli beam bearing a concentrated mass at an arbitrary location and developed a modified Dunkerley formula to approximate the exact solution with shorter computational time. Because of its increasing use as robot arms, machines or structures, Bruch and Mitchell (1987), Oguamanam (2003), Salarieh and Ghorashi (2006) and Ansari et al (2011) investigated the free vibrations of an Euler-Bernoulli or a Timoshenko cantilever beam with a rigid tip in the perspective of studying the behaviour of a flexible member. More recent contributions dealt with non-homogeneous or cracked beams (Li et al, 2013a;Khaji et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

Identification of equivalent mechanical properties for unreinforced masonry walls

Mordant

Degée

Denoël

2017

IJMRI

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Transverse vibrations of beams are an interesting topic for numerous engineering fields. The equations of motion develop under various assumptions and associate a frequency equation. This paper expresses the frequency equation for two specific models, using the Timoshenko beam theory. The first model is a typical cantilever beam with an additional mass attached to the free end. The second model considers a beam partially clamped at the base and with an elastic connection of the additional mass to the free end. The relevance of the used theory is discussed and the importance of each term of the equation is studied. These models find applications in unreinforced masonry. They are indeed fitted to identify, from white noise tests, equivalent mechanical properties of unreinforced load-bearing clay masonry walls including soundproofing devices in the perspective of modelling these elements with a macro-scale approach. Discrepancies with respect to current standards are underscored.

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“…The excited vibration and transmission of the mechanical waves in these structures often give rise to the problems of structure-borne noise or stability [2]. In most cases, vibrational energy is transmitted in simultaneous combinations of multiple wave types, such as longitudinal, torsional, and flexural [2,3]. Different types of propagating waves interact with each other and are converted from one type to another while encountering a discontinuity.…”

Section: Introductionmentioning

confidence: 99%

A Study of Power Transmission through a Finite Periodic Dual-Layer Beam Structure with Transverse Connection

Mak

2013

Journal of Low Frequency Noise, Vibration and Active Control

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A study of the structure-borne sound power transmission through a finite periodic dual-layer beam structure with connection branches was conducted. The results suggest that the power transmitted through the beam structure into the supporting structure depends not only on the characteristics of the source and the supporting structure, but also on the attenuation of the periodic beam elements with the coupling branches and the exciting position of the source. The results also reveal the model under the mono-coupling condition to be similar to that under the multicoupling condition in the relatively low frequency region. The transmitted power was strongly attenuated in a number of frequency regions, and in a few regions the power was even transmitted into the second layer of the supporting structure. The analysis indicated that this study is useful in understanding the structure-borne sound transmission from the first layer into the second layer of the beam structure.

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Free vibration of Timoshenko beam with finite mass rigid tip load and flexural–torsional coupling

Cited by 67 publications

References 14 publications

Uniform stability for the Timoshenko beam with tip load

Uniform stability for the Timoshenko beam with tip load

Identification of equivalent mechanical properties for unreinforced masonry walls

A Study of Power Transmission through a Finite Periodic Dual-Layer Beam Structure with Transverse Connection

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