Determination method of dynamic distorted scaling laws and applicable structure size intervals of a rotating thin-wall short cylindrical shell

Zhang, Luo; Yi, Zhu; Zhao, Xuanming; Dy, Wang

doi:10.1177/0954406214541645

Cited by 30 publications

(17 citation statements)

References 21 publications

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“…Normally, there will be many limitations in employing the geometrically complete similitude model in experiments, so it is necessary that designing geometrically distorted models predicts dynamic characteristics of the prototype. Geometrically distorted models are defined such that scaling factors of geometrical parameters of models are keeping different [26]. In addition, (12) can be written as…”

Section: Substituting Scaling Factorsmentioning

confidence: 99%

The Dynamic Similitude Design Method of Thin Walled Structures and Experimental Validation

Zhang

Wang

Zhu

et al. 2016

Shock and Vibration

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For the applicability of dynamic similitude models of thin walled structures, such as engine blades, turbine discs, and cylindrical shells, the dynamic similitude design of typical thin walled structures is investigated. The governing equation of typical thin walled structures is firstly unified, which guides to establishing dynamic scaling laws of typical thin walled structures. Based on the governing equation, geometrically complete scaling law of the typical thin walled structure is derived. In order to determine accurate distorted scaling laws of typical thin walled structures, three principles are proposed and theoretically proved by combining the sensitivity analysis and governing equation. Taking the thin walled annular plate as an example, geometrically complete and distorted scaling laws can be obtained based on the principles of determining dynamic scaling laws. Furthermore, the previous five orders’ accurate distorted scaling laws of thin walled annular plates are presented and numerically validated. Finally, the effectiveness of the similitude design method is validated by experimental annular plates.

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Section: Substituting Scaling Factorsmentioning

confidence: 99%

The Dynamic Similitude Design Method of Thin Walled Structures and Experimental Validation

Zhang

Wang

Zhu

et al. 2016

Shock and Vibration

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“…In distorted similitude condition ( ℎ , , are not equal simultaneously), assuming = . According to the previous studies of the authors, the distorted scaling law can be written as [24] = √…”

Section: Design Of a Distorted Modelmentioning

confidence: 99%

The Dynamic Similitude Design of a Thin-Wall Cylindrical Shell with Sealing Teeth and Its Geometrically Distorted Model

Zhang

Zhu

Han

et al. 2014

Advances in Mechanical Engineering

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This study investigates a method of designing a simplified cylindrical shell model. This model accurately predicts the dynamic characteristics of a prototype cylindrical shell with sealing teeth accurately. The significance of this study is that it provides an acceptable process which guides the design of test models. Firstly, an equivalent cylindrical shell with rectangular rings is designed by combining the energy equation and numerical analysis. Then the transfer matrixes of the stiffened cylindrical shell and the cylindrical shell are employed to calculate the equivalent thickness of the simplified cylindrical shell commonly used in model tests. Further, the equivalent thicknesses are normalized by introducing an average equivalent thickness. The distorted scaling laws and size applicable intervals are investigated to reduce the errors caused by the normalization. Finally, a 42CrMo cylindrical shell with sealing teeth is used as a prototype and a number 45 steel scaled-down cylindrical shell is used as a distorted test model. The accuracy of the prediction is verified by using experimental data, and the results indicate that the distorted model can predict the characteristics of the stiffened cylindrical shell prototype with good accuracy.

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“…In some cases, the approach of using the governing equations can become very complex due to the high numbers of parameters. An example is the work presented in Luo et al, 13 where a very interesting approach is adopted for finding the distorted scaling laws for a complicated problem such as a thin-wall rotating cylinder. The researchers focus the attention on a selected number of modes of interest without considering the forced response and the presence of damping conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Numerical and experimental examples are used to validate the derived scaling laws. Luo et al 13 investigate the applicability of distortion models for predicting dynamic characteristics of a rotating thin-wall short cylindrical shell.…”

Section: Introductionmentioning

confidence: 99%

Similitudes for the structural response of flexural plates

Rosa

Franco

Meruane

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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Artículo de publicación ISIThis article presents an investigation into exact and distorted similitudes and the related scaling laws for the analysis of the dynamic response of rectangular flexural plates. The response of a given model in similitude is determined from a generalization of the modal approach, which allows the use the mode shapes and natural frequencies in order to establish scaling laws. Analytical models of simply supported rectangular plates are used to produce both the original and distorted model responses. Some highlights about the distribution of the natural frequencies, the forced response and the energy response are given. The results show that, with the proposed methodology, it is possible to reproduce with good confidence the response of the reference plate, even if distorted models are used.Chilean National Fund for Scientific and Technological Development (Fondecyt) 1111004

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Determination method of dynamic distorted scaling laws and applicable structure size intervals of a rotating thin-wall short cylindrical shell

Cited by 30 publications

References 21 publications

The Dynamic Similitude Design Method of Thin Walled Structures and Experimental Validation

The Dynamic Similitude Design Method of Thin Walled Structures and Experimental Validation

The Dynamic Similitude Design of a Thin-Wall Cylindrical Shell with Sealing Teeth and Its Geometrically Distorted Model

Similitudes for the structural response of flexural plates

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