Coupled bending-torsion vibration of a homogeneous beam with a single delamination subjected to axial loads and static end moments

Liu, Yang; Shu, Dongwei

doi:10.1007/s10409-014-0039-4

Cited by 9 publications

(4 citation statements)

References 26 publications

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“…Lee [91]. Liu and Shu [92] implemented semi-analytical method of Joshi and Suryanarayan [12] to investigate the coupled vibration of a single delaminated beam subjected to static end moment and axial force and showed that the effects of delamination on reducing natural frequencies, critical buckling load and critical moment for lateral instability are aggravated by the presence of static end moment. In a recent work, Szekrényes [93] performed stability analysis on axially loaded delaminated composite beams undergoing coupled flexural-longitudinal vibration.…”

Section: Delaminated and Defective Layered Composite Beamsmentioning

confidence: 99%

An investigation into the free vibration analysis of intact and defective laminated coposite beams subjected to combined axial force and end moment

Kashani¹

2021

Preprint

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This research is focusing on the bending-torsion coupled free vibration modeling as well as the analysis of intact and defective pre-stressed beams subjected to combined axial force and end moment. In the recent years, many studies have been conducted in an attempt to investigate the free vibration of pre-stressed beams using numerical and analytical techniques. However, despite their numerous applications, there is limited research done on pre-stressed beams subjected to both axial force and end moment in addition to the coupled behavior caused by the latter one. In the present study, current trends in the literature are critically examined, new models are proposed, and numerical and semi-analytical formulations are developed to find the natural frequencies and mode shapes of different pre-stressed slender beam configurations. The proposed methods are compared in terms of accuracy and convergence. Furthermore, the effects of axial force, end moment and delamination defect on the vibrational behavior of each model are also investigated. Four different general types of thin beams, including isotropic, layered, composite and delaminated beams, are modeled using traditional Finite Element Method (FEM) and frequency-dependent Dynamic Finite Element (DFE) technique. The DFE formulation is distinct from the conventional FEM by the fact that the former exploits frequency-dependent basis and shape functions of approximation space, whereas the polynomial ones are used in the latter method. With regard to layered beams, a novel layer-wise method is introduced for both DFE and FEM. Delaminated beam is also modeled using both ‘free mode’ and ‘constrained mode’ models showing that the continuity (both kinematic and force) conditions at delamination tips, in particular, play a large role in formulation of ‘free mode’ model. In this case, the defect is assumed to be a single-symmetric through the thickness delamination. However, the presented models and formulations could be readily extended to more general cases. Where available, the results were validated against existing limited experimental, analytical, and numerical data in literature. In addition, the investigated cases are modeled in the commercial finite element suite ANSYS® for further validation. Finally, general concluding remarks are made on the performance of the presented models and solution techniques, where the advantages and disadvantages of the proposed formulations as well as possible future research works are highlighted.

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Section: Delaminated and Defective Layered Composite Beamsmentioning

confidence: 99%

An investigation into the free vibration analysis of intact and defective laminated coposite beams subjected to combined axial force and end moment

Kashani¹

2021

Preprint

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“…Surace [5] used a new approximate method, based on the use of Green functions, for the analysis of the modal characteristics of non-uniform blades corresponding to the coupled flapwise bending, chordwise bending and torsion of both rotating and non-rotating blades. Liu and Shu [6] used a method, called as a closed form solution, to solve analytically frequencies and corresponding mode shapes of coupled bendingtorsion vibration model with single delamination subjected to axial loads and static end moments. Oh and Yoo [7] examined the coupling effects between stretching, bending, and torsion of a rotating pre-twisted blade using a complex modal analysis method.…”

Section: Introductionmentioning

confidence: 99%

“…Oh and Yoo [7] examined the coupling effects between stretching, bending, and torsion of a rotating pre-twisted blade using a complex modal analysis method. These studies have shown [3][4][5][6][7] that compared with numerical methods, analytical methods are more preferred to solve vibration problem in order to obtain the behavior of coupled bending-torsion beams.…”

Section: Introductionmentioning

confidence: 99%

Flexural-torsional-coupled vibration analysis of Euler-Bernoulli beam by using the differential transform method

Soysal¹,

Özkol²,

Uzal³

2022

acperpro

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This study introduces an analytical solution method which is called the differential transform method (DTM) to analyze the free vibration response of a beam which features material coupling between flapwise bending and torsional vibrations. The governing differential equations of motion are solved by applying DTM. The natural frequencies are obtained and compared with a study taken form the literature. A good agreement is found between the results of this study and the results of the study taken from the literature.

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“…Moon and Oh [19] used discrete element method analysis to simulate a multi-indentation to study the optimal rock-cutting phenomena in terms of the interaction of the spacing to penetration ratio with intact rock properties. These achievements were all based on the research with disc cutters traditionally installed, while after the long-term research we discovered the mechanics law of interaction between disc cutters installed slantingly outward and rocks [20,21], and hereafter we also found that the disc cutter installed slantingly can generate a better mechanical effect [22,23]. Thus, the rock-breaking model with disc cutters slantingly installed is developed for a further study of the rock fragmentation of disc cutters, a contrastive analysis of fragmentation effects of two models has been made: one is based on the slantingly installed disc cutters and the other traditionally installed disc cutters.…”

Section: Introductionmentioning

confidence: 99%

The comparative analysis of rocks’ resistance to forward-slanting disc cutters and traditionally installed disc cutters

2015

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At present, disc cutters of a full face rock tunnel boring machine are mostly mounted in the traditional way. Practical use in engineering projects reveals that this installation method not only heavily affects the operation life of disc cutters, but also increases the energy consumption of a full face rock tunnel boring machine. To straighten out this issue, therefore, a rock-breaking model is developed for disc cutters' movement after the research on the rock breaking of forward-slanting disc cutters. Equations of its displacement are established based on the analysis of velocity vector of a disc cutter's rock-breaking point. The functional relations then are brought forward between the displacement parameters of a rock-breaking point and its coordinate through the analysis of micro displacement of a rock-breaking point. Thus, the geometric equations of rock deformation are derived for the forward-slanting installation of disc cutters. With a linear relationship remaining between the acting force and its deformation either before or after the leap breaking, the constitutive relation of rock deformation can be expressed in the form of generalized Hooke law, hence the comparative analysis of the variation in the resistance of rock to the disc cutters mounted in the forward-slanting way with that in the traditional way. It is discovered that with the same penetration, strain of the rock in contact with forwardslanting disc cutters is apparently on the decline, in other words, the resistance of rock to disc cutters is reduced. Thus wear of disc cutters resulted from friction is lowered and energy consumption is correspondingly decreased. It will be useful for the development of installation and design theory of disc cutters, and significant for the breakthrough in the design of full face rock tunnel boring machine.

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Coupled bending-torsion vibration of a homogeneous beam with a single delamination subjected to axial loads and static end moments

Cited by 9 publications

References 26 publications

An investigation into the free vibration analysis of intact and defective laminated coposite beams subjected to combined axial force and end moment

An investigation into the free vibration analysis of intact and defective laminated coposite beams subjected to combined axial force and end moment

Flexural-torsional-coupled vibration analysis of Euler-Bernoulli beam by using the differential transform method

The comparative analysis of rocks’ resistance to forward-slanting disc cutters and traditionally installed disc cutters

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